CURRICULUM VITA Edward William LarsenOctober, 2015 CURRICULUM VITA Edward William Larsen ADDRESS:...

October, 2015

CURRICULUM VITA

Edward William Larsen

ADDRESS:Department of Nuclear Engineering and Radiological Sciences2929 Cooley Building, North Campus2355 Bonisteel BoulevardUniversity of MichiganAnn Arbor, MI 48109-2104

EMAIL: [email protected]

PHONE: (734) 936-0124

FAX: (734) 763-4540

PLACE AND DATE OF BIRTH: New York City; November 12, 1944

EDUCATION:B.S. (Mathematics; June, 1966) Rensselaer Polytechnic Institute, Troy, New YorkPh.D. (Mathematics; August, 1971) Rensselaer Polytechnic Institute, Troy, New York

Advisor: George HabetlerThesis Title: Completeness Results for Linear Operators in a Hilbert Space and

Problems in Neutron Transport Theory

PROFESSIONAL SOCIETIES:American Nuclear Society

HONORS AND AWARDS:Fellow, American Nuclear Society (1988)University of Michigan College of Engineering Excellence in Teaching Award (1989)University of Michigan College of Engineering Excellence in Research Award (1993)E.O. Lawrence Award, U.S. Department of Energy (1994)Arthur Holly Compton Award, American Nuclear Society (1996)Special Recognition Award, Mathematics and Computations Division, American Nuclear

Society (1999)Eugene P. Wigner Reactor Physicist Award, American Nuclear Society (2009)

PROFESSIONAL EMPLOYMENT

• Assistant Professor, University Heights, New York University, Department of Mathematics, NewYork, NY (Sept. 1971-August 1973)

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• Assistant Professor, Washington Square College, New York University, Department of Mathematics,New York, NY (Sept. 1973-August 1976)

• Associate Professor, University of Delaware, Department of Mathematics, Newark, DE (Sept. 1976-June 1977)

• Staff Member, Los Alamos National Laboratory, Los Alamos, NM 87545 (July 1977-August 1986)• Professor, University of Michigan, Department of Nuclear Engineering, Ann Arbor, MI 48109 (Sept.

1986-present)

PART-TIME PROFESSIONAL EMPLOYMENT

• Visiting Staff Member, Battelle Pacific Northwest Laboratories, Richland, WA (June 1974-July 1974)• Visiting Staff Member, Los Alamos Scientific Laboratory, Los Alamos, NM (Aug. 1975)• Consultant, Los Alamos Scientific Laboratory, Los Alamos, NM, (July 1976)• Consultant, Battelle Pacific Northwest Laboratories, Richland, WA (Aug. 1976)• Consultant, Schlumberger-Doll Research, Ridgefield, CT (Sept. 1985-Sept. 1986)• Consultant, Los Alamos National Laboratory, Los Alamos, NM (Sept. 1986-2012)• Consultant, Lawrence Livermore National Laboratory, Livermore, CA (Oct. 1986-1999)• Affiliate, Los Alamos National Laboratory, Los Alamos, NM (Jan. 2015-present)

PROFESSIONAL ACTIVITIES

• Member, Editorial Board for SIAM Journal on Applied Mathematics, 1977 - 1982.• Member, Editorial Board for Transport Theory and Statistical Physics, 1982 - 2011.• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-

putation Division Topical Meeting: Advances in Reactor Computations (Salt Lake City, Utah, March28-31, 1983).

• Member, Executive Committee of the Mathematics and Computation Division (American NuclearSociety), 1983-1986.

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division Topical Meeting: Advances in Nuclear Engineering Computational Methods (Knoxville,Tennessee, April 1-11, 1985).

• Chair, Technical Program Committee, American Nuclear Society Mathematics and Computation Di-vision Topical Meeting: Advances in Nuclear Engineering Computation and Radiation Shielding(Santa Fe, New Mexico, April 9-13, 1989).

• Member, Technical Program Committee for the International Topical Meeting on the Physics of Re-actor Operation, Design and Computation (Marseilles, France, April 23-26, 1990).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division Topical Meeting: Advances in Mathematics, Computations, and Reactor Physics(Pittsburgh, Pennsylvania, April 28 - May 2, 1991).

• Member, Technical Program Committee for the ANS Topical Meeting: Advances in Reactor Physics(Charleston, South Carolina, March 8-11, 1992).

• Advisory Editor, Nuclear Science and Engineering (1989 - 1992)• Member, Program Committee for the International Symposium on Numerical Transport Theory (Moscow,

May 26-28, 1992)

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• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division Topical Meeting: International Conference on Mathematics and Computations,Reactor Physics, and Environmental Analyses (Portland, Oregon, April 30 - May 4, 1995).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division Topical Meeting: Joint International Conference on Mathematical Methods andSupercomputing for Nuclear Applications (Saratoga, New York, October 5-7, 1997).

• Member, Executive Committee of the Mathematics and Computation Division (American NuclearSociety), 1997-2002.

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division Topical Meeting: “M&C-99-Madrid,” International Conference on Mathematics andComputation, Reactor Physics and Environmental Analysis (Madrid, Spain, September 27-30, 1999).

• Member, Editorial Board of SIAM Journal on Applied Mathematics, 1999 - 2004.• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-

tation Division Topical Meeting: “M&C-2001,” ANS International Meeting on Mathematical Meth-ods for Nuclear Applications (Salt Lake City, Utah, September 9-13, 2001).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division Topical Meeting: “M&C-2003,” Nuclear, Mathematical, and Computational Sciences:A Century in Review A Century Anew (Gatlinburg, Tennessee, April 6-10, 2003).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division International Topical Meeting on Mathematics and Computation, Supercomputing,Reactor Physics and Nuclear and Biological Applications (Avignon, France, September 12-15, 2005).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division Joint International Topical Meeting on Mathematics & Computations and Supercom-puting in Nuclear Applications, M&C+SNA 2007, (Monterey, California, April 15-19, 2007).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division International Conference on Advances in Mathematics, Computational Methods, andReactor Physics. (Saratoga Springs, New York, May 3-7, 2009).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division International Conference on Mathematics and Computational Methods Applied toNuclear Science and Engineering (M&C 2011), on CD-ROM, ISBN 978-85-63688-00-2. (Rio deJaneiro, RJ, Brazil, May 8-12, 2011).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Com-putation Division International Conference on Mathematical & Computational Methods Applied toNuclear Science & Engineering, on CD-ROM. (Sun Valley, Idaho, May 5-9, 2013).

• Member, Technical Program Committee for the American Nuclear Society Mathematics and Compu-tation Division Meeting: M&C + SNA + MC 2015, on CD-ROM. (Nashville, Tennessee, April 19-23,2015).

RESEARCH INTERESTS

My main research interest is the development of advanced mathematical algorithms (numerical andanalytic) for solving particle transport problems. This includes the development of advanced methods fornuclear reactor applications, thermal radiation transport methods, and also, charged particle transport meth-ods for medical physics applications. My computational work has focused on extending the theory andsimulation capabilities of neutral and charged particle transport algorithms through the development of (i)

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improved discretization methods for deterministic transport calculations, (ii) improved methods for accel-erating the iterative convergence of deterministic calculations, (iii) new efficient variance-reduction MonteCarlo algorithms, and (iv) new efficient hybrid Monte Carlo/Deterministic methods. For example, my re-search has used the theory of asymptotic expansions to (i) describe the relationship between transport anddiffusion theory, (ii) provide systematic derivations of the “Simplified PN” equations, (iii) predict the accu-racy of numerical transport methods for “diffusive” problems in which the spatial grid is not optically thin,and (iv) develop more accurate homogenization techniques for reactor core simulations. During the last15 years, my Ph.D. students and I have developed several new hybrid Monte Carlo/Deterministic methods,which combine the concepts of both Deterministic and Monte Carlo transport methods in ways that improvethe efficiency and accuracy of “pure” Deterministic or Monte Carlo methods.

Ph.D. STUDENTS (UNIVERSITY OF MICHIGAN)

1. Paul F. Nowak, “A Coupled Synthetic and Multigrid Acceleration Method for Two-DimensionalTransport Calculations,” March 16, 1988 (co-chair with W.R. Martin).

2. Tareq G. AboAlfaraj, “Diffusion Synthetic Acceleration of the Diamond Differenced and Linear Dis-continuous Discrete Ordinates Equations in X-Y Geometry,” June 21, 1989.

3. Kassem M. Khattab, “Synthetic Acceleration Methods for Linear Transport Problems with HighlyAnisotropic Scattering,” June 21, 1989.

4. Ricardo C. De Barros, “A Spectral Nodal Method for the Solution of Discrete Ordinates Problems inOne and Two Dimensional Cartesian Geometry,” November 1, 1990. (This thesis won the AmericanNuclear Society 1991 Mark Mills Award.)

5. Musa Yavuz, “Neutron Transport, Diffusion, and Diffusion Synthetic Acceleration Methods for Parallel-Architecture Computers,” May 9, 1991.

6. Todd A. Wareing, “Asymptotic Diffusion Accelerated Discontinuous Finite Element Methods forTransport Problems,” September 12, 1991.

7. Robert P. Rulko, “A Variational Derivation of PN Equations and Boundary Conditions in Planar and3-D Geometries,” October 1, 1991.

8. Todd S. Palmer, “Curvilinear Geometry Transport Discretizations in Thick Diffusive Regions,” May21, 1993 (co-chair with M.L. Adams).

9. Kasem N. Abotel, “‘Local’ Exponential Transform Methods for the Simulation of Multigroup Trans-port Problems,” July 1, 1993 (co-chair with W.R. Martin).

10. Moyed M. Miften, “The Quasi-Diffusion Method for Transport Problems in Multidimensional Ge-ometries,” June 23, 1994.

11. Djordje I. Tomasevic, “Variational Derivation of the Simplified P2 Nodal Approximation,” September23, 1994.

12. Todd J. Urbatsch, “Iterative Acceleration Methods for Monte Carlo and Deterministic Criticality Cal-culations,” October 6, 1995.

13. Scott Turner, “Automatic Variance Reduction for Monte Carlo Simulations via the Local ImportanceFunction Transform,” December 5, 1995.

14. Robert E. Grove, “A Characteristic Based Multiple Balance Approach for Discrete Ordinates on Ar-bitrary Polygonal Meshes,” February 28, 1996.

15. Patrick S. Brantley, “Spatial and Angular Moment Analysis of Continuous and Discretized ParticleTransport Problems,” March 19, 1998.

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16. Taro Ueki, “A Kinetic Theory of Nonanalog Monte Carlo Methods for Penetrating Radiation,” April22, 1998.

17. Christopher L. Leakeas, “A Generalized Fokker-Planck Theory for Electron Transport Problems,”December 10, 1998.

18. Marc Cooper, “An Automated Variance Reduction Method for Global Monte Carlo Neutral ParticleTransport Problems,” February 8, 1999.

19. Anthony E. Lujan, “Incorporation of Uncertainties in Setup Errors and Organ Motion in 3-D DoseCalculations,” May 27, 1999.

20. Carla L. Barrett, “A Variationally-Based Variance Reduction Method for Monte Carlo Particle Trans-port Problems,” September 10, 1999.

21. Brian C. Franke, “1-D Radial Moment Calculations of 3-D Coupled Electron-Photon Beams,” Septem-ber 14, 1999.

22. Danny Ray Tolar, “Advanced Multiple Scattering Algorithms for Electron Transport,”October 26, 1999.

23. Jeffery D. Densmore, “Variational Variance Reduction for Monte Carlo Reactor Analysis,”August 23, 2002.

24. Kristy K. Brock, “The Influence of Liver Deformation on 4-D Dose Calculations for Radiotherapy,”March 24, 2003.

25. Heath L. Hanshaw, “The Multidimensional Multiple Balance Method for SN Radiation Transport,”April 14, 2005.

26. Liang Liang, “Development and Application of a Random Lung Model for Dose Calculations inRadiotherapy,” June 20, 2007.

27. Martha M. Matuszak, “Controlling Beam Complexity in Intensity Modulated Radiation Therapy,”July 31, 2007.

28. Philip M. Tchou, “Visual Performance in Medical Imaging Using Liquid Crystal Displays,” Septem-ber 14, 2007.

29. Allan B. Wollaber, “Advanced Monte Carlo Methods for Thermal Radiation Transport,” April 15,2008.

30. Richard Vasques, “Anisotropic Diffusion of Neutral Particles in Stochastic Media,” July 14, 2009.31. Troy L. Becker, “Hybrid Monte Carlo/Deterministic Methods for Radiation Shielding Problems,”

September 8, 2009.32. Gregory G. Davidson, “Time-Dependent Radiation Transport Using the Staggered-Block Jacobi Meth-

od,” December 9, 2009.33. Emily R. Wolters, “Hybrid Monte Carlo - Deterministic Neutron Transport Methods Using Nonlinear

Functionals,” January 6, 2011.34. Jinan Yang, “A Functional Monte Carlo Method for k-Eigenvalue Problems,” March 3, 2011.35. Seth R. Johnson, “Anisotropic Diffusion Approximations for Time-Dependent Particle Transport,”

December 8, 2011.36. Shikha Prasad, “MCNPX-PoliMi Variance Reduction Techniques for Simulating Neutron Scintillation

Detector Response,” August, 2012.37. Blake W. Kelley, “An Investigation of 2D/1D Approximations to the 3D Boltzmann Transport Equa-

tion,” April 29, 2015.38. Thomas Saller, “Asymptotic Homogenized SP2 Approximations to the Neutron Transport Equation,”

September 14, 2015.39. Changyuan Liu, “Discrete Ordinates Methods for Neutron Transport Problems with Curved Spatial

Grids,” October 5, 2015.

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BOOK REVIEWS

1. “Functional-Analytic Concepts and Structures of Neutron Transport Theory,” by Marjan Ribaric,Nucl. Sci. Eng. 58, 105, (1975).

2. “Thermodynamics of Linear Transport Processes,” by Marjan Ribaric, Nucl. Sci. Eng. 61, 290, (1976).

PUBLICATIONS

1. E.W. Larsen and G.J. Habetler, “A Functional-Analytic Derivation of Case’s Full and Half-RangeFormulas,” Comm. Pure Appl. Math. 26, 525 (1973).

2. E.W. Larsen and J.B. Keller, “Asymptotic Solution of Neutron Transport Problems for Small MeanFree Paths,” J. Math. Phys. 15, 75 (1974).

3. E.W. Larsen, “Solutions of the Steady, One-Speed Neutron Transport Equation for Small Mean FreePaths,” J. Math. Phys. 15, 299 (1974).

4. E.W. Larsen, “A Functional-Analytic Approach to the Steady, One-Speed Neutron Transport Equationwith Anisotropic Scattering,” Comm. Pure Appl. Math. 27, 523 (1974).

5. E.W. Larsen and P.F. Zweifel, “On the Spectrum of the Linear Transport Operator,” J. Math. Phys. 15,1987 (1974).

6. E.W. Larsen and P.F. Zweifel, “On the Spectrum of the Linear Transport Operator,” in TheoriesCinetiques Classsiques et Relativistes, Colloques Internationaux, Centre National de la RechercheScientifique 236, 229 (1975). (This is an abridged version of Ref. 5.)

7. E.W. Larsen, “The Inverse Source Problem in Radiative Transfer,” J. Quant. Spectrosc. Radiat. Trans-fer 15, 1 (1975).

8. E.W. Larsen, “Solution of Neutron Transport Problems in L1,” Comm. Pure Appl. Math. 28, 729(1975).

9. E.W. Larsen, S. Sancaktar and P.F. Zweifel, “Extension of the Case Formulas to Lp. Application toHalf and Full-Space Problems,” J. Math. Phys. 16, 1117 (1975).

10. E.W. Larsen, “Neutron Transport and Diffusion in Inhomogeneous Media. I,” J. Math. Phys. 16, 1421(1975).

11. E.W. Larsen and P.F. Zweifel, “Explicit Matrix Wiener-Hopf Factorizations,” SIAM J. Appl. Math. 30,732 (1976).

12. E.W. Larsen and P.F. Zweifel, “Steady, One-Dimensional Multigroup Neutron Transport with AnisotropicScattering,” J. Math. Phys. 17, 1812 (1976).

13. E.W. Larsen, “Neutron Transport and Diffusion in Inhomogeneous Media. II,” Nucl. Sci. Eng. 60, 357(1976).

14. E.W. Larsen and J. D’Arruda, “Asymptotic Theory of the Linear Transport Equation for Small MeanFree Paths,” Phys. Rev. A 13, 1933 (1976).

15. E.W. Larsen, “Asymptotic Theory of the Linear Transport Equation for Small Mean Free Paths. II,”SIAM J. Appl. Math. 33, 427 (1977).

16. G.A. Kriegsmann and E.W. Larsen, “On the Parabolic Approximation to the Reduced Wave Equation,”SIAM J. Appl. Math. 34, 200 (1978).

17. J. D’Arruda and E.W. Larsen, “Simple Derivation of the Diffusion Equation from the Fokker-PlanckEquation Using Perturbation Methods,” Am. J. Phys. 46, 392 (1978).

18. A.G. Gibbs and E.W. Larsen, “Neutron Transport in Plane Geometry with General Anisotropic,Energy-Dependent Scattering,” J. Math. Phys. 18, 1998 (1977).

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19. E.W. Larsen and M. Williams, “Neutron Drift in Heterogeneous Media,” Nucl. Sci. Eng. 65, 290(1978).

20. E.W. Larsen, “On the Existence of Complex Relaxation Lengths in an Absorbing Medium,” TransportTheory Statist. Phys. 7, 25 (1978).

21. E.W. Larsen, “A Homogenized Multigroup Diffusion Theory for the Neutron Transport Equation,”Computing Methods in Applied Sciences and Engineering, 1977, I, Lecture Notes in Mathematics704, R. Glowinski and J.L. Lions, eds., Springer-Verlag, Berlin, 357 (1979).

22. E.W. Larsen and Z. Schuss, “Diffusion Tensor for Atomic Migration in Crystals,” Phys. Rev. B 18,2050 (1978).

23. E.W. Larsen, “Two Types of Homogenization,” SIAM J. Appl. Math. 36, 26 (1979).24. R.E. Alcouffe, E.W. Larsen, W.F. Miller, Jr. and B.R. Wienke, “Calculational Efficiency of Numerical

Transport Methods: Slab Geometry,” Trans. Am. Nucl. Soc. 30, 250 (1978).25. E.W. Larsen and G.C. Pomraning, “Asymptotic Analysis of Nonlinear Marshak Waves,” SIAM J. Appl.

Math. 39, 201 (1980).26. R.E. Alcouffe, E.W. Larsen, W.F. Miller, Jr. and B.R. Wienke, “Computational Efficiency of Numeri-

cal Methods for the Multigroup, Discrete-Ordinates Neutron Transport Equations: The Slab GeometryCase,” Nucl. Sci. Eng. 71, 111 (1979).

27. E.W. Larsen, “The Spectrum of the Multigroup Neutron Transport Operator for Bounded SpatialDomains,” J. Math. Phys. 20, 1776 (1979).

28. E.W. Larsen and R.P. Hughes, “Homogenized Diffusion Approximations to the Neutron TransportEquation,” Nucl. Sci. Eng. 73, 274 (1980).

29. E.W. Larsen and W.F. Miller, Jr., “Convergence Rates of Spatial Difference Equations for the Discrete-Ordinates Neutron Transport Equations in Slab Geometry,” Nucl. Sci. Eng. 73, 76 (1980).

30. W.F. Miller, Jr. and E.W. Larsen, “Comparison of Two Spatial Differencing Schemes for the SlabTransport Equation,” Trans. Am. Nucl. Soc. 33, 316 (1979).

31. E.W. Larsen, “Comparison of Spatial Approximation Methods for the SN Equations in X,Y-Geometry,”Trans. Am. Nucl. Soc. 33, 317 (1979).

32. E.W. Larsen, “Diffusion Theory as an Asymptotic Limit of Transport Theory for Nearly CriticalSystems with Small Mean Free Paths,” Ann. Nucl. Energy 7, 249 (1980).

33. G.C. Pomraning and E.W. Larsen, “Elementary Solutions of the Linear Transport Equation for Con-tinuously Varying Spatial Media,” J. Math. Phys. 21, 1603 (1980).

34. E.W. Larsen, G.C. Pomraning and V.C. Badham, “On the Singular Eigenfunctions for Linear Trans-port in an Exponential Atmosphere,” J. Math. Phys. 21, 2448 (1980).

35. E.W. Larsen, “Bounds and Maximum Principles for the Solution of the Linear Transport Equation,”SIAM J. Math. Anal. 12, 282 (1981).

36. E.W. Larsen, “Solution of the Inverse Problem in Multigroup Transport Theory,” J. Math. Phys. 22,158 (1981).

37. E.W. Larsen, “On the Chord Length Across A System,” Transport Theory Statist. Phys. 9, 37 (1980).38. E.W. Larsen and G.C. Pomraning, “Boundary Perturbation Theory,” Nucl. Sci. Eng. 77, 415 (1981).39. E.W. Larsen and P. Nelson, “Finite-Difference Approximations and Superconvergence for the Discrete-

Ordinate Equations in Slab Geometry,” SIAM J. Num. Anal. 19, 334 (1982).40. E.W. Larsen and R.E. Alcouffe, “The Linear Characteristic Method for Spatially Discretizing the

Discrete-Ordinates Equations in X,Y-Geometry,” Proc. ANS/ENS Joint Topical Meeting, Advances inMathematical Methods for the Solution of Nuclear Engineering Problems, April 27-29, 1981, Munich,1, 99 (1981).

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41. R.E. Alcouffe and E.W. Larsen, “A Review of Characteristic Methods Used to Solve the Linear Trans-port Equation,” Proc. ANS/ENS Joint Topical Meeting, Advances in Mathematical Methods for theSolution of Nuclear Engineering Problems, April 27-29, 1981, Munich, 1, 3 (1981).

42. E.W. Larsen and T.W. Mullikin, “Linear Transport in an Exponential Atmosphere,” J. Math. Phys. 22,856 (1981).

43. E.W. Larsen, “Spatial Convergence Properties of the Diamond Difference Method in X,Y-Geometry,”Nucl. Sci. Eng. 80, 710 (1982).

44. E.W. Larsen, “Linear Transport in Nonhomogeneous Media. I,” J. Math. Phys. 22, 1463 (1981).45. E.W. Larsen, “Singular Eigenfunction Analysis of Transport Problems with Spatially Dependent

Cross-Sections–An Overview,” Prog. Nucl. Energy 8, 203 (1981).46. E.W. Larsen and D.R. McCoy, “An Unconditionally Stable Acceleration Method for Arbitrary Weighted

Diamond Differencing Schemes,” Trans. Am. Nucl. Soc. 39, 469 (1981).47. E.M. Gelbard, D.R. McCoy and E.W. Larsen, “Finite Difference Effects in the Synthetic Acceleration

Method,” Trans. Am. Nucl. Soc. 39, 462 (1981).48. E.W. Larsen, G.C. Pomraning, and V.C. Badham, “Linear Transport in Nonhomogeneous Media. II,”

J. Math. Phys. 23, 815 (1982).49. E.W. Larsen, “Unconditionally Stable Diffusion-Synthetic Acceleration Methods for the Slab Geom-

etry Discrete-Ordinates Equations. Part I: Theory,” Nucl. Sci. Eng. 82, 47 (1982).50. D.R. McCoy and E.W. Larsen, “Unconditionally Stable Diffusion-Synthetic Acceleration Methods

for the Slab Geometry Discrete-Ordinates Equations. Part II: Numerical Results,” Nucl. Sci. Eng. 82,64 (1982).

51. E.M. Gelbard, C.H. Adams D.R. McCoy, and E.W. Larsen, “Acceleration of Transport EigenvalueProblems,” Trans. Am. Nucl. Soc. 41, 309 (1982).

52. E.W. Larsen, G.C. Pomraning and V.C. Badham, “Asymptotic Analysis of Radiative Transfer Prob-lems,” J. Quant. Spectrosc. Radiat. Transfer 29, 285 (1983).

53. E.W. Larsen, “On Numerical Solutions of Transport Problems in the Diffusion Limit,” Nucl. Sci. Eng.83, 90 (1983).

54. E.W. Larsen, “Unconditionally Stable Diffusion-Acceleration of the Transport Equation,” TransportTheory Statist. Phys. 11, 29 (1982).

55. E.W. Larsen, “On a Singular Integral Equation Arising in the FN Method,” Transport Theory Statist.Phys. 11, 97 (1982).

56. R. Daniel, G.C. Pomraning and E.W. Larsen, “On the Completeness of Elementary Solutions of theTransport Equation for an Exponential Atmosphere,” Transport Theory Statist. Phys. 11, 75 (1982).

57. E.W. Larsen, “Diffusion-Synthetic Acceleration Methods for the Discrete-Ordinates Equations,” Proc.ANS Topical Meeting, Advances in Reactor Computations, March 28-31, 1983, Salt Lake City, 2, 705(1983).

58. E.W. Larsen, C. Burnap and P.F. Zweifel, “On the Order of the Linear Instability of a Plasma,” Trans-port Theory Statist. Phys. 12, 73 (1983).

59. E.W. Larsen, “Solution of Multidimensional Inverse Transport Problems,” J. Math. Phys. 25, 131(1984).

60. E.W. Larsen, “Rapidly Convergent Iterative Methods for Numerical Transport Problems,” Trans. Am.Nucl. Soc. 45, 317 (1983).

61. R. Daniel, E.W. Larsen and G.C. Pomraning, “Linear Transport in Nonhomogeneous Media. III,” J.Math. Phys. 25, 1511 (1984).

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62. E.W. Larsen, “Linear Transport in Nonhomogeneous Media. IV,” Transport Theory Statist. Phys. 13,511 (1984).

63. B.D. Ganapol and E.W. Larsen, “Asymptotic Equivalence of Fokker-Planck and Diffusion Solutionsfor Large Times,” Transport Theory Statist. Phys. 13, 635 (1984).

64. E.W. Larsen, “Diffusion-Synthetic Acceleration Methods for Discrete Ordinates Problems,” TransportTheory Statist. Phys. 13, 107 (1984).

65. J.E. Morel, E.W. Larsen and M.K. Matzen, “A Synthetic Acceleration Scheme for Radiative DiffusionCalculations,” J. Quant. Spectrosc. Radiat. Transfer 34, 243 (1985).

66. R.E. Alcouffe, B.A. Clark and E.W. Larsen, “The Diffusion Synthetic Acceleration of Transport Itera-tions with Application to a Radiation Hydrodynamics Problem,” in Multiple Time Scales, J. Brackbilland B. Cohen, eds., Academic Press, Orlando, Florida, p. 73 (1985).

67. E.W. Larsen, “A One-Dimensional Model for Three-Dimensional Transport in a Pipe,” TransportTheory Statist. Phys. 13, 599 (1984).

68. E.W. Larsen, C.D. Levermore, G.C. Pomraning and J.G. Sanderson, “Discretization Methods for One-Dimensional Fokker-Planck Operators,” J. Comp. Phys. 61, 359 (1985).

69. E.W. Larsen, “Projected Discrete Ordinates Methods for Numerical Transport Problems,” Proc. ANSTopical Meeting, International Meeting on Advances in Nuclear Engineering Computational Meth-ods, April 9-11, 1985, Knoxville, Tennessee, 2, 413 (1985). Also published in Nucl. Sci. Eng. 92, 179(1986).

70. E.W. Larsen, “Spectral Analysis of Numerical Methods for Discrete-Ordinates Problems. I,” Trans-port Theory Statist. Phys. 15, 93 (1986).

71. E.W. Larsen, J.E. Morel and W.F. Miller, Jr., “A New Slab Geometry Radiation Transport DifferencingScheme,” Trans. Am. Nucl. Soc. 49, 218 (1985).

72. W.F. Miller, Jr. and E.W. Larsen, “Modified Diffusion Synthetic Acceleration Algorithms,” Nucl. Sci.Eng. 93, 403 (1986).

73. E.W. Larsen, F. Malvagi and G.C. Pomraning, “One-Dimensional Models for Neutral Particle Trans-port in Ducts,” Nucl. Sci. Eng. 93, 13 (1986).

74. E.W. Larsen, J.E. Morel and W.F. Miller, Jr., “Asymptotic Solutions of Numerical Transport Problemsin Optically Thick, Diffusive Regimes,” J. Comp. Phys. 69, 283 (1987).

75. L.J. Lorence, Jr., E.W. Larsen and J.E. Morel, “An S2 Synthetic Acceleration Scheme for the One-Dimensional SN Equations,” Trans. Am. Nucl. Soc. 52, 417 (1986).

76. E.W. Larsen and W.F. Miller, Jr., “A Two-Step Acceleration Method for Transport Problems,” Trans.Am. Nucl. Soc. 52, 416 (1986).

77. E.W. Larsen and B. Mercier, “Analysis of a Monte Carlo Method for Nonlinear Radiative Transfer,”J. Comp. Phys. 71, 50 (1987).

78. Y.Y. Azmy and E.W. Larsen, “Fourier Analysis of the Diffusion Synthetic Acceleration Method forWeighted Diamond Differencing Schemes in Cartesian Geometries,” Nucl. Sci. Eng. 95, 106 (1987).

79. E.W. Larsen, “Neutronics Methods for Thermal Radiative Transfer,” Proc. ANS/ENS Joint TopicalMeeting, Advances in Reactor Physics, Mathematics, and Computation, April 27-30, 1987, Paris, 1,351 (1987). Also published in Nucl. Sci. Eng. 100, 255 (1988).

80. D. Valougeorgis, M. Williams and E.W. Larsen, “Stability Analysis of Synthetic Acceleration Meth-ods with Anisotropic Scattering,” Nucl. Sci. Eng. 99, 91 (1988).

81. P.F. Nowak, E.W. Larsen and W.R. Martin, “Multigrid Methods for SN Problems,” Trans. Am. Nucl.Soc. 55, 355 (1987).

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82. E.W. Larsen, “Solution of Three-Dimensional Inverse Transport Problems,” Transport Theory Statist.Phys. 17, 147 (1988).

83. E.W. Larsen, “A Grey Transport Acceleration Method for Thermal Radiative Transfer Problems,” J.Comp. Phys. 78, 459 (1988).

84. E.W. Larsen and J.E. Morel, “Asymptotic Solutions of Numerical Transport Problems in OpticallyThick Diffusive Regimes II,” J. Comp. Phys. 83, 212 (1989). See also “Corrigendum,” J. Comp. Phys.91, 246 (1990).

85. M. Yavuz and E.W. Larsen, “Diffusion Synthetic Acceleration for SN Problems with ReflectingBoundaries,” Trans. Am. Nucl. Soc. 56, 305 (1988).

86. E.W. Larsen, “Explicit Solution of Three Dimensional Inverse Transport Problems,” Trans. Am. Nucl.Soc. 56, 259 (1988).

87. G. Cefus and E.W. Larsen, “Stability Analysis of Fine Mesh Rebalance,” Trans. Am. Nucl. Soc. 56,309 (1988).

88. P.F. Nowak, E.W. Larsen, and W.R. Martin, “A Multigrid Method for SN Calculations in X-Y Geom-etry,” Trans. Am. Nucl. Soc. 56, 291 (1988).

89. M.L. Adams and E.W. Larsen, “Synthetic Acceleration of One-Group SN k-Eigenvalue Problems,”Trans. Am. Nucl. Soc. 57, 105 (1988).

90. M.L. Adams and E.W. Larsen, “Linear Synthetic Acceleration of k-Eigenvalue Problems,” Proc. ANSTopical Meeting, Advances in Nuclear Engineering Computation and Radiation Shielding, April 10-13, 1989, Santa Fe, 1, 12:1 (1989).

91. L.J. Lorence, Jr., J.E. Morel and E.W. Larsen, “An S2-Synthetic Acceleration Scheme for the One-Dimensional SN Equations with Linear-Discontinuous Spatial Differencing,” Nucl. Sci. Eng. 101, 341(1989).

92. G.R. Cefus and E.W. Larsen, “Stability Analysis of Rebalance,” Proc. ANS Topical Meeting, Advancesin Nuclear Engineering Computation and Radiation Shielding, April 10-13, 1989, Santa Fe, 1, 15:1(1989).

93. M. Yavuz and E.W. Larsen, “Spatial Domain Decomposition Methods for Discrete-Ordinates Prob-lems,” Proc. ANS Topical Meeting, Advances in Nuclear Engineering Computation and RadiationShielding, April 10-13, 1989, Santa Fe, 1, 14:1 (1989).

94. J. Morel and E.W. Larsen, “A New Class of SN Spatial Differencing Schemes,” Proc. ANS TopicalMeeting, Advances in Nuclear Engineering Computation and Radiation Shielding, April 10-13, 1989,Santa Fe, 1, 1:1 (1989).

95. G.R. Cefus and E.W. Larsen, “Stability Analysis of Coarse Mesh Rebalance,” Nucl. Sci. Eng. 105, 31(1990). (This is an expanded version of Ref. 92.)

96. M. Yavuz and E.W. Larsen, “Spatial Domain Decomposition for Neutron Transport Problems,” Trans-port Theory Statist. Phys. 18, 205 (1989). (This is an expanded version of Ref. 93.)

97. M.L. Adams, E.W. Larsen and G.C. Pomraning, “Benchmark Results for Particle Transport in a Bi-nary Markov Statistical Medium,” J. Quant. Spectrosc. Radiat. Transfer 42, 253 (1989). See also:“Corrigendum,” J. Quant. Spectrosc. Radiat. Transfer 45, 61(1991).

98. R.C. De Barros and E.W. Larsen, “A Numerical Method for One Group Slab Geometry DiscreteOrdinates Problems with No Spatial Truncation Error,” Nucl. Sci. Eng. 104, 199 (1990).

99. G.R. Cefus and E.W. Larsen, “Stability Analysis of the Quasidiffusion and Second Moment Methodsfor Iteratively Solving Discrete-Ordinates Problems,” Transport Theory Statist. Phys. 18, 493 (1990).

100. E.W. Larsen and M.M.R. Williams, “New Fokker-Planck Derivation of Heavy Gas Models for Neu-tron Thermalization,” Ann. Nucl. Energy 17, 81 (1990).

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101. E.W. Larsen, “Transport Acceleration Methods as Two-Level Multigrid Algorithms,” in ModernMathematical Methods in Transport Theory (Operator Theory: Advances and Applications,Vol. 51), W. Greenberg and J. Polewczak, eds., Birkhauser Verlag, Basel, 34 (1990).

102. K. Khattab and E.W. Larsen, “Synthetic Acceleration Methods for Linear Transport Problems withHighly Anisotropic Scattering,” Nucl. Sci. Eng. 107, 217 (1991).

103. J.E. Morel and E.W. Larsen, “A Multiple Balance Approach for Differencing the SN Equations,” Nucl.Sci. Eng. 105, 1 (1990). (This is an expanded version of Ref. 94.)

104. E.W. Larsen, “Distributional Solutions of the Transport Equation as a Weak Limit of Regular Solutionsof the Discrete Ordinates Equations,” Transport Theory Statist. Phys. 19, 179 (1990).

105. C. Borgers, E.W. Larsen, and M.L. Adams, “The Asymptotic Diffusion Limit of a Linear Discontinu-ous Discretization of a Two-Dimensional Linear Transport Equation,” J. Comp. Phys. 98, 285 (1992).

106. K.N. Abotel and E.W. Larsen, “A New Computational Approach to Nuclear Aerosol Problems,” Ann.Nucl. Energy 17, 673 (1990).

107. E.W. Larsen and G.C. Pomraning, “The PN Theory as an Asymptotic Limit of Transport Theory. PartI: Analysis,” Nucl. Sci. Eng. 109, 49 (1991). See also: “Corrigendum,” Nucl. Sci. Eng. 114, 86 (1993).

108. R.P. Rulko, E.W. Larsen and G.C. Pomraning, “The PN Theory as an Asymptotic Limit of TransportTheory. Part II: Numerical Results,” Nucl. Sci. Eng. 109, 76 (1991).

109. T. AboAlfaraj and E.W. Larsen, “The Efficiency of Linear and Nonlinear Implementations of Diffu-sion Synthetic Acceleration,” Proc. ANS Topical Meeting, Advances in Mathematics, Computations,and Reactor Physics, April 29 - May 2, 1991, Pittsburgh, 3, Sec. 11.1, p. 3-1 (1991).

110. R.C. De Barros and E.W. Larsen, “A Spectral Nodal Method for Discrete Ordinates Problems inX,Y-Geometry,” Proc. ANS Topical Meeting, Advances in Mathematics, Computations, and ReactorPhysics, April 29 - May 2, 1991, Pittsburgh, 2, Sec. 7.1, p. 2-1 (1991).

111. E.W. Larsen and G.C. Pomraning, “PN Theory as an Asymptotic Limit of Transport Theory,” Proc.ANS Topical Meeting, Advances in Mathematics, Computations, and Reactor Physics, April 29 - May2, 1991, Pittsburgh, 5, Sec. 21.1, p. 1-1 (1991). (This is an abridged version of Ref. 107.)

112. K.N. Abotel, E.W. Larsen and W.R. Martin, “A ‘Local’ Exponential Transform Method for MonteCarlo Transport Calculations,” Proc. ANS Topical Meeting, Advances in Mathematics, Computations,and Reactor Physics, April 29 - May 2, 1991, Pittsburgh, 5, Sec. 23.1, p. 1-1 (1991).

113. T. Wareing, E.W. Larsen and M.L. Adams, “Diffusion Accelerated Discontinuous Finite ElementSchemes for the SN Equations in Slab and X,Y Geometries,” Proc. ANS Topical Meeting, Advances inMathematics, Computations, and Reactor Physics, April 29 - May 2, 1991, Pittsburgh, 3, Sec. 11.1,p. 2-1 (1991).

114. R.P. Rulko and E.W. Larsen, “Variational Derivation of Multigroup P1 Equations and Boundary Con-ditions,” Proc. ANS Topical Meeting, Advances in Mathematics, Computations, and Reactor Physics,April 29 - May 2, 1991, Pittsburgh, 4, Sec. 17.1, p. 2-1 (1991).

115. E.W. Larsen, “Amplitude and Shape Function Formulations of Transport Problems,” Proc. ANS Topi-cal Meeting, Advances in Mathematics, Computations, and Reactor Physics, April 29 - May 2, 1991,Pittsburgh, 4, Sec. 17.1, p. 4-1 (1991).

116. R.C. De Barros and E.W. Larsen, “A Spectral Nodal Method for the Solution of the SN Equations inX,Y-Geometry for Highly Absorbing Deep Penetration Problems,” Proc. VIII ENFIR (Eighth Brazil-ian Meeting on Reactor Physics and Thermal Hydraulics), September 17-20, 1991, Atibaia, SaoPaulo, Brazil, 423 (1991).

117. R.C. De Barros and E.W. Larsen, “A Spectral Nodal Method for One-Group X,Y-Geometry DiscreteOrdinates Problems,” Nucl. Sci. Eng. 111, 34 (1992).

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118. R.C. De Barros and E.W. Larsen, “A Numerical Method for Multigroup Slab-Geometry DiscreteOrdinates Problems with no Spatial Truncation Error,” Transport Theory Statist. Phys. 20, 441 (1991).

119. K.N. Abotel, E.W. Larsen and W.R. Martin, “‘Local’ Exponential Transform Methods for the MonteCarlo Simulation of Multigroup Transport Problems,” Proc. ANS 1992 Topical Meeting on Advancesin Reactor Physics, March 8-11, 1992, Charleston, 2, 288 (1992).

120. M. Yavuz and E.W. Larsen, “Iterative Methods for Solving X,Y-Geometry SN Problems on Parallel-Architecture Computers,” Nucl. Sci. Eng. 112, 32 (1992).

121. R.C. De Barros and E.W. Larsen, “A Spectral Nodal Method for Monoenergetic X,Y-Geometry Dis-crete Ordinates Problems,” Trans. Am. Nucl. Soc. 64, 271 (1991).

122. M. Miften and E.W. Larsen, “The Quasi-Diffusion Method for Solving Transport Problems in Planarand Spherical Geometries,” Transport Theory Statist. Phys. 22, 165 (1993).

123. E.W. Larsen, “The Asymptotic Diffusion Limit of Discretized Transport Problems,” Nucl. Sci. Eng.112, 336 (1992).

124. E.W. Larsen, “A Theoretical Derivation of the Condensed History Algorithm,” Ann. Nucl. Energy 19,701 (1992).

125. E.W. Larsen, “Asymptotic Diffusion Limit of Discretized Transport Problems,” Proc. InternationalSymposium on Numerical Transport Theory, May 26-28, 1992, Moscow, p. 144 (1992). (This is anabridged version of Ref. 123.)

126. M.M. Miften and E.W. Larsen, “A Symmetrized Quasidiffusion Method for Solving MultidimensionalTransport Problems,” Trans. Am. Nucl. Soc. 66, 227 (1992). (This is an abridged version of Ref. 129.)

127. E.W. Larsen, J.M. McGhee and J.E. Morel, “The Simplified PN Equations as an Asymptotic Limit ofthe Transport Equation,” Trans. Am. Nucl. Soc. 66, 231 (1992). (This is an abridged version of Ref.130.)

128. D. Tomasevic and E.W. Larsen, “The Simplified P2 Correction to the Multidimensional DiffusionEquation,” Trans. Am. Nucl. Soc. 66, 232 (1992).

129. M. Miften and E.W. Larsen, “A Symmetrized Quasidiffusion Method for Solving Transport Problemsin Multidimensional Geometries,” Proc. ANS Topical Meeting, Mathematical Methods and Super-computing in Nuclear Applications, M&C + SNA ’93, April 19-23, 1993, Karlsruhe, Germany, 1, 707(1993).

130. E.W. Larsen, J.E. Morel and J.M. McGhee, “Asymptotic Derivation of the Simplified PN Equations,”Proc. ANS Topical Meeting, Mathematical Methods and Supercomputing in Nuclear Applications,M&C + SNA ’93, April 19-23, 1993, Karlsruhe, Germany, 1, 718 (1993).

131. R.S. Baker and E.W. Larsen, “A ‘Local’ Exponential Transform Method for Global Variance Reduc-tion in Monte Carlo Transport Problems,” Proc. ANS Topical Meeting, Mathematical Methods andSupercomputing in Nuclear Applications, M&C + SNA ’93, April 19-23, 1993, Karlsruhe, Germany,2, 725 (1993).

132. K.N. Abotel, E.W. Larsen and W.R. Martin, “‘Local’ Exponential Transform Methods for the MonteCarlo Simulation of Multigroup X,Y-Geometry Transport Problems,” Proc. ANS Topical Meeting,Mathematical Methods and Supercomputing in Nuclear Applications, M&C + SNA ’93, April 19-23,1993, Karlsruhe, Germany, 2, 733 (1993).

133. R.P. Rulko and E.W. Larsen, “Variational Derivation and Numerical Analysis of P2 Theory in PlanarGeometry,” Nucl. Sci. Eng. 114, 271 (1993).

134. C. Borgers and E.W. Larsen, “The Transversely Integrated Scalar Flux of a Narrowly Focused ParticleBeam,” SIAM Journal on Applied Mathematics 55, 1 (1995).

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135. D. Tomasevic and E.W. Larsen, “Benchmarking with High-Order Nodal Diffusion Methods,” Trans.Am. Nucl. Soc. 69, 212 (1993).

136. E.W. Larsen, “Asymptotic Derivation of the Multigroup P1 and SPN Equations,” Trans. Am. Nucl. Soc.69, 209 (1993).

137. D. Tomasevic and E.W. Larsen, “Variational Derivation of Simplified P2 Equations with BoundaryConditions,” Trans. Am. Nucl. Soc. 70, 159 (1994).

138. M. Miften and E.W. Larsen, “The SQD Method for SN Problems on Equilateral Triangular Meshes,”Trans. Am. Nucl. Soc. 70, 156 (1994).

139. M. Atzmon and E.W. Larsen, “Alloy Phase Growth by Nonlinear Diffusion,” Defect and DiffusionForum 95-98, 647 (1993).

140. E.W. Larsen, “Simplified PN Equations,” Trans. Am. Nucl. Soc. 71, 222 (1994).141. C. Borgers and E.W. Larsen, “Fokker-Planck Approximation of Monoenergetic Transport Processes,”

Trans. Am. Nucl. Soc. 71, 235 (1994).142. R.P. Rulko, D. Tomasevic and E.W. Larsen, “Variational P1 Approximations of General-Geometry

Multigroup Transport Problems,” Nucl. Sci. Eng. 121, 393 (1995).143. E.W. Larsen, “Dose Calculations in Radiation Cancer Therapy - A Primer,” Proc. ANS Topical Meet-

ing, International Conference on Mathematics and Computations, Reactor Physics, and Environmen-tal Analyses, April 30 - May 4, 1995, Portland, Oregon, 2, 821 (1995).

144. C. Borgers and E.W. Larsen, “The Fermi Pencil Beam Approximation,” Proc. ANS Topical Meeting,International Conference on Mathematics and Computations, Reactor Physics, and EnvironmentalAnalyses, April 30 - May 4, 1995, Portland, Oregon, 2, 847 (1995).

145. E.W. Larsen, J.E. Morel and J.M. McGhee, “Asymptotic Derivation of the Multigroup P1 and Sim-plified PN Equations with Anisotropic Scattering,” Proc. ANS Topical Meeting, International Con-ference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, April 30 -May 4, 1995, Portland, Oregon, Oregon, 1, 309 (1995).

146. D.I. Tomasevic and E.W. Larsen, “Variational Derivation of the Simplified P2 Equations with Bound-ary and Interface Conditions,” Proc. ANS Topical Meeting, International Conference on Mathematicsand Computations, Reactor Physics, and Environmental Analyses, April 30 - May 4, 1995, Portland,Oregon, 1, 319 (1995).

147. J.E. Morel, J.M. McGhee and E.W. Larsen, “A 3-D Time-Dependent Unstructured Tetrahedral-MeshSPN Method,” Proc. ANS Topical Meeting, International Conference on Mathematics and Computa-tions, Reactor Physics, and Environmental Analyses, April 30 - May 4, 1995, Portland, Oregon, 2,887 (1995).

148. C. Borgers and E.W. Larsen, “Asymptotic Derivation of the Fermi Pencil Beam Approximation,” Nucl.Sci. Eng. 123, 343 (1996). (This is an expanded version of Ref. 144.)

149. M.L. Adams, E.W. Larsen and P.F. Nowak, “The Asymptotic Diffusion Limit of Continuous and Dis-crete Steady-State Multigroup Radiative Transfer Problems,” Proc. ANS Topical Meeting, Interna-tional Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses,April 30 - May 4, 1995, Portland, Oregon, 1, 360 (1995).

150. D.I. Tomasevic and E.W. Larsen, “The Simplified P2 Approximation,” Nucl. Sci. Eng. 122, 309 (1996).151. J.P. Holloway, E.W. Larsen and G. Wojtowicz, “New Exact Solutions of the Neutron Transport Equa-

tion for Periodic Lattices,” Trans. Am. Nucl. Soc. 72, 156 (1995).152. G. Wojtowicz, J.P. Holloway and E.W. Larsen, “New Trial Functions for Reactor Lattice Calcula-

tions,” Trans. Am. Nucl. Soc. 72, 156 (1995).

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153. E.W. Larsen, “The Simplified PN Approach to Transport Calculations,” Proc. X ENFIR (Tenth Brazil-ian Meeting on Reactor Physics and Thermal Hydraulics), August 7-11, 1995, Aguas de Lindoia,Brazil, ABEN (Associacao Brasiliera de Energia Nuclear), p. 453 (1995).

154. E.W. Larsen, “Tutorial: The Nature of Transport Calculations Used in Radiation Oncology,” TransportTheory Statist. Phys. 26, 739 (1997).

155. C. Borgers and E.W. Larsen, “On the Accuracy of the Fokker-Planck and Fermi Pencil Beam Equa-tions for Charged Particle Transport,” Med. Phys. 23, 1749 (1996).

156. T. Urbatsch and E.W. Larsen, “Acceleration of Monte Carlo Criticality Calculations,” Proc. Fifth Int.Conf. on Nuclear Criticality Safety, Sept. 17-21, 1995, Albuquerque, New Mexico (1995).

157. E.W. Larsen, “How Rapidly and How Far Do Neutrons Migrate?,” Ann. Nucl. Energy 23, 341 (1996).158. J.E. Morel, J.M. McGhee and E.W. Larsen, “A Three-Dimensional Time-Dependent Unstructured

Tetrahedral-Mesh SPN Method,” Nucl. Sci. Eng. 123, 319 (1996). (This is an expanded version ofRef. 147.)

159. E.W. Larsen, J.E. Morel and J.M. McGhee, “Asymptotic Derivation of the Multigroup P1 and Simpli-fied PN Equations with Anisotropic Scattering,” Nucl. Sci. Eng. 123, 328 (1996). (This is an expandedversion of Ref. 145.)

160. A.Z. Akcasu and E.W. Larsen, “A Statistical Model for Electron Transport and Dose Calculations,”Ann. Nucl. Energy 23, 253 (1996).

161. E.W. Larsen, “Theoretical Analysis of Pencil Beams with Highly Forward Scattering,” OSA Trends inOptics and Photonics on Advances in Optical Imaging and Photon Migration, R.R. Alfano and JamesG. Fujimoto, eds., Optical Society of America, Washington, DC, 2, 258 (1996).

162. E.W. Larsen, M.M. Miften, I.A.D. Bruinvis and B.A. Fraass, “Electron Dose Calculations Using theMethod of Moments,” Med. Phys. 24, 111 (1997).

163. D.Y. Anistratov and E.W. Larsen, “Stability Analysis of Nonlinear Flux Methods for the TransportEquation,” Proc. International Symposium of Young Researchers, Nuclear Power Engineering in theThird Millenium, October 7-11, 1996, Obninsk, Russia, 44 (1996).

164. D.Y. Anistratov and E.W. Larsen, “Alpha-Weighted Acceleration Methods for the Transport Equa-tion,” Trans. Am. Nucl. Soc. 75, 154 (1996).

165. D.Y. Anistratov, M.L. Adams and E.W. Larsen, “Acceleration Method for the Nonlinear Corner-Balance Scheme,” Trans. Am. Nucl. Soc. 75, 156 (1996).

166. P.S. Brantley and E.W. Larsen, “An Improved Iteration Strategy for the Simplified PN Equations,”Trans. Am. Nucl. Soc. 75, 129 (1996).

167. E.W. Larsen, “The Amplitude and Radius of a Radiation Beam,” Transport Theory Statist. Phys. 26,533 (1997).

168. T. Ueki and E.W. Larsen, “A Deterministic Theory of Monte Carlo Variance,” Trans. Am. Nucl. Soc.75, 133 (1996).

169. S.A. Turner and E.W. Larsen, “Automatic Variance Reduction for 3-D Monte Carlo Simulations bythe Local Importance Function Transform,” Trans. Am. Nucl. Soc. 75, 131 (1996).

170. S.A. Turner and E.W. Larsen, “Automatic Variance Reduction for 3-D Monte Carlo Simulations bythe Local Importance Function Transform – Part I: Analysis,” Nucl. Sci. Eng. 127 22 (1997).

171. S.A. Turner and E.W. Larsen, “Automatic Variance Reduction for 3-D Monte Carlo Simulations by theLocal Importance Function Transform – Part II: Numerical Results,” Nucl. Sci. Eng. 127 36 (1997).

172. D. Yu. Anistratov, M.L. Adams and E.W. Larsen, “Acceleration of the Nonlinear Corner-BalanceScheme by the Averaged Flux Method,” J. Comp. Phys. 135, 66 (1997).

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173. P.S. Brantley and E.W. Larsen, “Variational Derivation of the Simplified P3 Approximation,” Proc.ANS Topical Meeting, Joint International Conference on Mathematical Methods and Supercomputingfor Nuclear Applications, October 5-10, 1997, Saratoga Springs, New York, 1, 910 (1997).

174. T. Ueki and E.W. Larsen, “A Kinetic Theory of Nonanalog Monte Carlo Algorithms: ExponentialTransform with Angular Biasing,” Proc. ANS Topical Meeting, Joint International Conference onMathematical Methods and Supercomputing for Nuclear Applications, October 5-10, 1997, SaratogaSprings, New York, 1, 701 (1997).

175. C.L. Leakeas and E.W. Larsen, “Asymptotic Correction to Fermi-Eyges Theory for Electron TransportProblems,” Proc. ANS Topical Meeting, Joint International Conference on Mathematical Methodsand Supercomputing for Nuclear Applications, October 5-10, 1997, Saratoga Springs, New York, 2,1319 (1997).

176. M.A. Cooper and E.W. Larsen, “An Automated Variance Reduction Method for Global Monte CarloDeep Penetration Neutron Transport Problems,” Proc. ANS Topical Meeting, Joint International Con-ference on Mathematical Methods and Supercomputing for Nuclear Applications, October 5-10, 1997,Saratoga Springs, New York, 1, 681 (1997).

177. T. Ueki and E.W. Larsen, “A Kinetic Theory for Nonanalog Monte Carlo Algorithms:Exponential Transform with Angular Biasing,” Nucl. Sci. Eng. 130, 269 (1998).

178. T.A. Brunner, J.P. Holloway and E.W. Larsen, “On the Use of Maximum Entropy Eddington Factorsin Shielding Calculations,” Trans. Am. Nucl. Soc. 77, 195 (1997).

179. T. Ueki and E.W. Larsen, “A Kinetic Theory for Nonanalog Monte Carlo Particle Transport Algo-rithms: Exponential Transform with Angular Biasing in Anisotropically-Scattering Media,” J. Comp.Phys. 145, 406 (1998).

180. P.S. Brantley and E.W. Larsen, “The Center of Mass and Radius of Gyration of Neutron Distributions,”Trans. Am. Nucl. Soc. 78, 114 (1998).

181. C.L. Barrett and E.W. Larsen, “A Variationally-Enhanced Monte Carlo Algorithm for Neutron Shield-ing Problems,” Trans. Am. Nucl. Soc. 79, 166 (1998).

182. W.R. Prucka and E.W. Larsen, “A Weight Window Method for Monte Carlo Neutron Beam Problems,”Trans. Am. Nucl. Soc. 79, 165 (1998).

183. M.R. Zika and E.W. Larsen, “Half-Range Acceleration for One-Dimensional Transport Problems,”Trans. Am. Nucl. Soc. 79, 137 (1998).

184. M.R. Zika and E.W. Larsen, “Fourier Mode Analysis of Source Iteration in Spatially Periodic Media,”Trans. Am. Nucl. Soc. 79, 135 (1998).

185. P.S. Brantley, D.I. Tomasevic and E.W. Larsen, “Application of the Simplified PN Approximation toMixed Oxide Fuel Problems,” Trans. Am. Nucl. Soc. 79, 173 (1998).

186. A.E. Lujan, E.W. Larsen, J.M. Balter and R.K. Ten Haken, “A Method for Incorporating Organ MotionDue to Breathing into 3-D Dose Calculations,” Med. Phys. 26, 715 (1999).

187. E.W. Larsen, “The Linear Boltzmann Equation in Optically Thick Systems with Forward-PeakedScattering,” Prog. Nucl. Energy 34, 413 (1999).

188. P.S. Brantley and E.W. Larsen, “The Simplified P3 Approximation,” Nucl. Sci. Eng. 134, 1 (2000).189. P.S. Brantley and E.W. Larsen, “Spatial and Angular Moment Analysis of Continuous and Discretized

Transport Problems,” Nucl. Sci. Eng. 135, 199 (2000).190. D.R. Tolar and E.W. Larsen, “A Transport-Based Condensed History Algorithm,” Trans. Am. Nucl.

Soc. 80, 120 (1999).191. B.F. Franke and E.W. Larsen, “RMS Radius Calculations of Coupled Electron-Photon Beams,” Trans.

Am. Nucl. Soc. 80, 121 (1999).

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192. A.E. Lujan, R.K. Ten Haken, E.W. Larsen, and J.M. Balter, “Quantization of Setup Uncertainties in3-D Dose Calculations,” Med. Phys. 26, 2397 (1999).

193. B.C. Franke and E.W. Larsen, “1-D Calculations of 3-D Coupled Electron-Photon Beams,” Proc.ANS Topical Meeting: Mathematics and Computation, Reactor Physics and Environmental Analysisin Nuclear Applications, September 27-30, 1999, Madrid, Spain, 1, 446 (1999).

194. C.L. Barrett and E.W. Larsen, “A Variational Variance Reduction Method for Monte Carlo Shield-ing and Eigenvalue Problems,” Proc. ANS Topical Meeting: Mathematics and Computation, ReactorPhysics and Environmental Analysis in Nuclear Applications, September 27-30, 1999, Madrid, Spain,2, 1371 (1999).

195. D.R. Tolar, Jr. and E.W. Larsen, “The Excess Mean Free Path Transport Condensed History Algo-rithm,” Proc. ANS Topical Meeting: Mathematics and Computation, Reactor Physics and Environ-mental Analysis in Nuclear Applications, September 27-30, 1999, Madrid, Spain, 1, 617 (1999).

196. M.R. Zika and E.W. Larsen, “Fourier Mode Analysis of Slab-Geometry Transport Iterations in Spa-tially Periodic Media,” Proc. ANS Topical Meeting: Mathematics and Computation, Reactor Physicsand Environmental Analysis in Nuclear Applications, September 27-30, 1999, Madrid, Spain, 1, 64(1999).

197. E.W. Larsen, “Computational Transport Theory: Research Issues and Emerging Applications,” Proc.ANS Topical Meeting: Mathematics and Computation, Reactor Physics and Environmental Analysisin Nuclear Applications, September 27-30, 1999, Madrid, Spain, 1, 15 (1999).

198. C.L. Barrett and E.W. Larsen, “A Variationally-Based Variance Reduction Method for Monte CarloNeutron Transport Calculations,” Ann. Nucl. Energy 28, 457 (2001).

199. B. Su, M.G. Fried, and E.W. Larsen, “Stability Analysis of the Variable Eddington Factor Method,”Transport Theory Statist. Phys., 30 439 (2001).

200. C.L. Leakeas and E.W. Larsen, “Generalized Fokker-Planck Approximations of Particle Transportwith Highly Forward-Peaked Scattering,” Nucl. Sci. Eng. 137, 236 (2001).

201. M.A. Cooper and E.W. Larsen, “Automated Weight Windows for Global Monte Carlo Deep Penetra-tion Neutron Transport Calculations,” Nucl. Sci. Eng. 137, 1 (2001).

202. D.R. Tolar, Jr. and E.W. Larsen, “A Transport Condensed History Algorithm for Electron Monte CarloSimulations,” Nucl. Sci. Eng. 139, 47 (2001).

203. B.C. Franke and E.W. Larsen, “1-D Radial Moment Calculations of 3-D Coupled Electron-PhotonBeams,” Nucl. Sci. Eng. 140, 1 (2002).

204. D.R. Tolar and E.W. Larsen, “A Moment-Based Condensed History Algorithm,” Trans. Am. Nucl.Soc. 83, 334 (2000).

205. J.D. Densmore and E.W. Larsen, “A New Variational Variance Reduction Method for Monte CarloSource-Detector Problems,” Trans. Am. Nucl. Soc. 83, 336 (2000).

206. C. Ahrens and E.W. Larsen, “An Exact Monte Carlo Method for Linear Grey Radiative TransferProblems,” Trans. Am. Nucl. Soc. 83, 340 (2000).

207. W.R. Prucka and E.W. Larsen, “A New Transport-Diffusion Approximation,” Trans. Am. Nucl. Soc.83, 346 (2000).

208. D.M. Anistratov and E.W. Larsen, “Nonlinear and Linear α-Weighted Methods for Particle TransportProblems,” J. Comp. Phys. 173, 664 (2001).

209. M.M.R. Williams and E.W. Larsen, “Neutron Transport in Spatially Random Media: Eigenvalue Prob-lems,” Nucl. Sci. Eng. 139, 66 (2001).

210. E.W. Larsen and C. Ahrens, “The Greuling-Goertzel and Wigner Approximations in the Theory ofNeutron Slowing Down,” Ann. Nucl. Energy 28, 1809 (2001).

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211. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Monte Carlo Criticality Calcu-lations,” Trans. Am. Nucl. Soc. 84, 177 (2001).

212. E.W. Larsen, “SN Schemes, Linear Infinite-Medium Solutions, and the Diffusion Approximation,”Trans. Am. Nucl. Soc. 84, 51 (2001).

213. E.W. Larsen and J.D. Densmore, “New Zero-Variance Methods for Monte Carlo Criticality andSource-Detector Problems,” Trans. Am. Nucl. Soc. 84, 175 (2001).

214. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Monte Carlo Criticality Prob-lems,” Proc. ANS Topical Meeting: International Conference on Mathematical Methods to NuclearApplications, September 9-13, 2001, Salt Lake City, Utah, CD-ROM (ISBN: 0-89448-661-6, ANSOrder No. 700286) available from the American Nuclear Society, 555 N. Kensington Avenue, LaGrange Park, IL 60525 (2001).

215. E.W. Larsen, “Infinite Medium Solutions of the Transport Equation, Discretization Schemes, and theDiffusion Approximation,” Proc. ANS Topical Meeting: International Conference on MathematicalMethods to Nuclear Applications, September 9-13, 2001, Salt Lake City, Utah, CD-ROM (ISBN:0-89448-661-6, ANS Order No. 700286) available from the American Nuclear Society, 555 N. Kens-ington Avenue, La Grange Park, IL 60525 (2001).

216. D.R. Tolar and E.W. Larsen, “The Moment Condensed History Algorithm for Monte Carlo Elec-tron Transport Simulations,” Proc. ANS Topical Meeting: International Conference on MathematicalMethods to Nuclear Applications, September 9-13, 2001, Salt Lake City, Utah, CD-ROM (ISBN:0-89448-661-6, ANS Order No. 700286) available from the American Nuclear Society, 555 N. Kens-ington Avenue, La Grange Park, IL 60525 (2001).

217. C. Ahrens and E.W. Larsen, “A ‘Semi-Analog’ Monte Carlo Method for Grey Radiative TransferProblems,” Proc. ANS Topical Meeting: International Conference on Mathematical Methods to Nu-clear Applications, September 9-13, 2001, Salt Lake City, Utah, CD-ROM (ISBN: 0-89448-661-6,ANS Order No. 700286) available from the American Nuclear Society, 555 N. Kensington Avenue,La Grange Park, IL 60525 (2001).

218. M.L. Adams and E.W. Larsen, “Fast Iterative Methods for Discrete-Ordinates Particle Transport Cal-culations,” Prog. Nucl. Energy 40, 3 (2002).

219. E.W. Larsen and D.R. Tolar, “A ‘Transport’ Condensed History Method,” Proceedings, AdvancedMonte Carlo for Radiation Physics, Particle Transport Simulation and Applications, Lisbon, October23-26, 2000; A. Kling, F. Barao, M. Nakagawa, L. Tavora, P. Vaz (editors), Springer, Berlin, p. 49,(2001).

220. E.W. Larsen, “Infinite Medium Solutions of the Transport Equation, SN Discretization Schemes, andthe Diffusion Approximation,” Transport Theory Statist. Phys. 32, 623 (2003).

221. E.W. Larsen, G. Thommes, M. Seaıd, A. Klar, and T. Gotz, “Simplified PN Approximations to theEquations of Radiative Heat Transfer and Applications,” J. Comp. Phys. 183 (2), 652 (2002).

222. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Monte Carlo EigenfunctionProblems,” Trans. Am. Nucl. Soc. 87, 227 (2002).

223. J.D. Densmore and E.W. Larsen, “Use of Monte Carlo Adjoint Simulations in VVR Criticality Cal-culations,” Trans. Am. Nucl. Soc. 87, 228 (2002).

224. H.L. Hanshaw and E.W. Larsen, “An ‘Explicit Slope’ SN Differencing Scheme,” Trans. Am. Nucl.Soc. 87, 128 (2002).

225. E.W. Larsen, G. Thommes, and A. Klar, “New Frequency-Averaged Approximations to the Equationsof Radiative Heat Transfer,” SIAM J. Appl. Math. 64, 565 (2003).

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226. E.W. Larsen and J.D. Densmore, “A Linearized Theory for Near-Equilibrium Thermal RadiativeTransfer Problems,” Proc. ANS Topical Meeting: Nuclear, Mathematical, and Computational Sci-ences: A Century in Review – A Century Anew, April 6-10, 2003, Gatlinburg, Tennessee, CD-ROM(ISBN: 0-89448-674-6, ANS Order No. 700300) available from the American Nuclear Society, 555N. Kensington Avenue, La Grange Park, IL 60525 (2003).

227. J.D. Densmore and E.W. Larsen, “Maximum Principle Analysis of Monte Carlo Methods for GreyRadiative Transfer,” Proc. ANS Topical Meeting: Nuclear, Mathematical, and Computational Sci-ences: A Century in Review – A Century Anew, April 6-10, 2003, Gatlinburg, Tennessee, CD-ROM(ISBN: 0-89448-674-6, ANS Order No. 700300) available from the American Nuclear Society, 555N. Kensington Avenue, La Grange Park, IL 60525 (2003).

228. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Criticality Calculations UsingMonte Carlo Adjoint Fluxes,” Proc. ANS Topical Meeting: Nuclear, Mathematical, and Computa-tional Sciences: A Century in Review – A Century Anew, April 6-10, 2003, Gatlinburg, Tennessee,CD-ROM (ISBN: 0-89448-674-6, ANS Order No. 700300) available from the American NuclearSociety, 555 N. Kensington Avenue, La Grange Park, IL 60525 (2003).

229. H.L. Hanshaw and E.W. Larsen, “The Explicit Slope SN Discretization Method,” Proc. ANS TopicalMeeting: Nuclear, Mathematical, and Computational Sciences: A Century in Review – A CenturyAnew, April 6-10, 2003, Gatlinburg, Tennessee, CD-ROM (ISBN: 0-89448-674-6, ANS Order No.700300) available from the American Nuclear Society, 555 N. Kensington Avenue, La Grange Park,IL 60525 (2003).

230. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Monte Carlo Eigenvalue andEigenfunction Problems,” Nucl. Sci. Eng. 146, 121 (2004).

231. J.D. Densmore and E.W. Larsen, “Variational Variance Reduction for Particle Transport EigenvalueCalculations Using Monte Carlo Adjoint Simulation,” J. Comp. Phys. 192, 387 (2003).

232. E.W. Larsen, “Asymptotic Derivation of the Atomic-Mix Diffusion Model for 1-D Random Media,”Trans. Am. Nucl. Soc. 89, 296 (2003).

233. A.Z. Akcasu and E.W. Larsen, “A Model of the Scalar Flux Variance for Random Media TransportProblems,” Trans. Am. Nucl. Soc. 89, 298 (2003).

234. H.L. Hanshaw, P.F. Nowak, and E.W. Larsen, “Stretched and Filtered Transport Synthetic Accelera-tion of SN Problems. Part 1: Homogeneous Media,” Trans. Am. Nucl. Soc. 89, 354 (2003).

235. H.L. Hanshaw, P.F. Nowak, and E.W. Larsen, “Stretched and Filtered Transport Synthetic Accelera-tion of SN Problems. Part 2: Heterogeneous Media,” Trans. Am. Nucl. Soc. 89, 357 (2003).

236. G.L. Olson, J.E. Morel, and E.W. Larsen, “Chord Length Distributions in Binary Stochastic Media inTwo and Three Dimensions,” Trans. Am. Nucl. Soc. 89, 307 (2003).

237. J.D. Densmore and E.W. Larsen, “Asymptotic Equilibrium Diffusion Analysis of Time-DependentMonte Carlo Methods for Grey Radiative Transfer,” J. Comp. Phys. 199, 175 (2004).

238. I.M. Davis, T.S. Palmer, and E.W. Larsen, “A Comparison of Binary Stochastic Media TransportModels in ‘Solid-Void’ Mixtures,” Proc. PHYSOR 2004 – The Physics of Fuel Cycles and AdvancedNuclear Systems: Global Developments, Chicago, Illinois, April 25-29, 2004, American Nuclear So-ciety, Lagrange Park, IL (2004).

239. H.L. Hanshaw and E.W. Larsen, “Coarse-Mesh Rebalance and Diffusion Acceleration for SN Prob-lems,” Trans. Am. Nucl. Soc., 91, 151 (2004).

240. E.W. Larsen, “Point Source in a Pure Absorber (Revisited),” Trans. Am. Nucl. Soc., 91, 160 (2004).241. E.W. Larsen, “2-D Transformation of 3-D Transport Problems with ‘Helical’ Symmetry,” Trans. Am.

Nucl. Soc., 91, 158 (2004).

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242. E.W. Larsen, “An Overview of Neutron Transport Problems and Simulation Techniques,” in Com-putational Methods in Transport Workshop, edited by F. Graziani, Lecture Notes in ComputationalScience and Enginering 48, 513, Springer-Verlag, Berlin (2006).

243. E.W. Larsen, R. Vasques, and M.T. Vilhena, “Particle Transport in the 1-D Atomic Mix DiffusionLimit,” Proc. ANS Topical Meeting: M & C 2005, International Topical Meeting on Mathematicsand Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, Sept.12-15, 2005, Avignon, France. Available from the American Nuclear Society, 555 N. KensingtonAvenue, La Grange Park, IL 60525 (2005).

244. A.B. Wollaber and E.W. Larsen, “A Hybrid Monte Carlo-Deterministic Method for Global TransportCalculations,” Proc. ANS Topical Meeting: M & C 2005, International Topical Meeting on Mathe-matics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications,Sept. 12-15, 2005, Avignon, France. Available from the American Nuclear Society, 555 N. Kensing-ton Avenue, La Grange Park, IL 60525 (2005).

245. H.L. Hanshaw and E.W. Larsen, “Linear-Solution-Preservation and Diffusive Solutions in Multidi-mensional SN Calculations,” Proc. ANS Topical Meeting: M & C 2005, International Topical Meet-ing on Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and BiologicalApplications, Sept. 12-15, 2005, Avignon, France. Available from the American Nuclear Society, 555N. Kensington Avenue, La Grange Park, IL 60525 (2005).

246. G.L. Olson, D.S. Miller, E.W. Larsen, and J.E. Morel, “Chord Length Distributions in Binary Stochas-tic Media in Two and Three Dimensions,” J. Quant. Spectrosc. Radiat. Transfer 101, 269 (2006).

247. E.W. Larsen and J.E. Morel, “Advances in Discrete-Ordinates Methodology,” in Nuclear Compu-tational Science: A Century in Review, edited by Y.Y. Azmy and E. Sartori, Springer, Dordrecht,Germany, pp. 1-84 (2010).

248. E.W. Larsen, “The Description of Particle Transport Problems with Helical Symmetry,” Nucl. Sci.Eng. 156, 68 (2007).

249. T.L. Becker, A.B. Wollaber, and E.W. Larsen, “A Hybrid Monte Carlo-Deterministic Method forGlobal Particle Transport Calculations,” Nucl. Sci. Eng. 155, 155 (2007).

250. A.D. Klose and E.W. Larsen, “Light Transport in Biological Tissue Based on the Simplified SphericalHarmonics Equations,” J. Comp. Phys. 220, 441 (2006).

251. R.S. Baker and E.W. Larsen, “A Finite Element Transport Method for Spatial Cells with MaterialInterfaces,” Trans. Am. Nucl. Soc. 95, 572 (2006).

252. M.M. Matuszak, E.W. Larsen, and B.A. Fraass, “Reduction of IMRT Beam Complexity through theUse of Beam Modulation Penalties in the Objective Function,” Med. Phys. 34, 507 (2007).

253. A.B. Wollaber and E.W. Larsen, “A Hybrid Monte Carlo-Deterministic Method for Global, Time-Dependent Transport Calculations,” Trans. Am. Nucl. Soc. 95, 865 (2006).

254. T.L. Becker and E.W. Larsen, “Multigroup Formulation of the ‘Correcton’ Hybrid Monte Carlo/Deter-ministic Transport Method,” Trans. Am. Nucl. Soc. 95, 550 (2006).

255. E.W. Larsen and L. Liang, “The Atomic Mix Approximation for Charged Particle Transport,” SIAMJ. Appl. Math. 68, 43 (2007).

256. L. Liang, E.W. Larsen, and I.J. Chetty, “An Anatomically-Realistic Lung Model for Monte Carlo-Based Dosimetry,” Med. Phys. 34, 1013 (2007).

257. E.W. Larsen, “Asymptotic Diffusion Limit of a Modified Levermore-Pomraning Theory,” Trans. Am.Nucl. Soc. 95, 547 (2006).

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258. E.W. Larsen and A.K. Prinja, “A Derivation of Akcasu’s “MLP” Equations for 1-D Particle Transportin Stochastic Media,” Proc. Joint International Topical Meeting on Mathematics & Computations andSupercomputing in Nuclear Applications, M&C+SNA 2007, April 15-19, 2007, Monterey, California(2007).

259. E.W. Larsen, “A Generalized Boltzmann Equation for ‘Non-Classical’ Particle Transport,” Proc. JointInternational Topical Meeting on Mathematics & Computations and Supercomputing in Nuclear Ap-plications, M&C+SNA 2007, April 15-19, 2007, Monterey, California (2007).

260. E.W. Larsen and A.B. Wollaber, “A Quantitative Theory of Angular Truncation Errors in 3-D DiscreteOrdinates Calculations,” Proc. Joint International Topical Meeting on Mathematics & Computationsand Supercomputing in Nuclear Applications, M&C+SNA 2007, April 15-19, 2007, Monterey, Cali-fornia (2007).

261. M. Frank, A. Klar, E.W. Larsen, and S. Yasuda, “Time-Dependent Simplified PN Approximation tothe Equations of Radiative Transfer,” J. Comp. Phys. 226, 2289 (2007).

262. M. Asadzadeh and E.W. Larsen, “Linear Particle Transport in Flatland with Small Angular Diffusionand Their Finite Element Approximations,” Mathematical and Computer Modelling 47, 495 (2008).

263. G. Davidson and E.W. Larsen, “An Unconditionally-Stable Time-Dependent Transport Method With-out Sweeps,” Trans. Am. Nucl. Soc. 97, 530 (2007).

264. E.W. Larsen and J. Yang, “New ‘Monte Carlo Functional’ Methods for Estimating k-Eigenvalues andEigenfunctions,” Trans. Am. Nucl. Soc. 97, 469 (2007).

265. E.W. Larsen and A. Prinja, “A New Derivation of Akcasu’s ‘MLP’ Equations for 1-D Particle Trans-port in Stochastic Media,” Ann. Nucl. Energy 35, 620 (2008).

266. M.M. Matuszak, R.K. Ten Haken, E.W. Larsen, and B.A. Fraass, “Uniform Radiobiological Tar-geting with Adaptive Diffusion Smoothing During IMRT Optimization,” Proc. XVth InternationalConference on the Use of Computers in Radiation Therapy, J-P. Bissonnette (Editor), June 4-7, 2007,Toronto, Ontario, Canada, Novel Digital Publishing (2007).

267. M.M. Matuszak, E.W. Larsen, K.-W. Jee, D.L. McShan, and B.A. Fraass, “Adaptive Diffusion Smooth-ing: A Diffusion-Based Method to Reduce IMRT Field Complexity,” Med. Phys. 35, 1532 (2008).

268. E.W. Larsen and A.B. Wollaber, “A Quantitative Theory of Angular Truncation Errors in 3-D SN

Calculations,” Nucl. Sci. Eng. 160, 267 (2008).269. E.W. Larsen and J. Yang, “A ’Functional Monte Carlo’ Method for k-Eigenvalue Problems,” Nucl.

Sci. Eng. 159, 107 (2008).270. T.L. Becker and E.W. Larsen, “The Application of Weight Windows to “Global” Monte Carlo Prob-

lems,” Proc. 2009 International Conference on Advances in Mathematics, Computational Methods,and Reactor Physics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM, American NuclearSociety (2009).

271. G. Davidson and E.W. Larsen, “Sweepless Time-Dependent Transport Calculations Using the Stag-gered Block Jacobi Method,” Proc. 2009 International Conference on Advances in Mathematics,Computational Methods, and Reactor Physics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM, American Nuclear Society (2009).

272. R. Vasques and E.W. Larsen, “Anisotropic Diffusion in Model 2-D Pebble-Bed Reactor Cores,” Proc.2009 International Conference on Advances in Mathematics, Computational Methods, and ReactorPhysics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM, American Nuclear Society (2009).

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273. A.B. Wollaber and E.W. Larsen, “A Time-Dependent Fleck Factor to Enhance the Accuracy of theImplicit Monte Carlo Equations,” Proc. 2009 International Conference on Advances in Mathematics,Computational Methods, and Reactor Physics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM, American Nuclear Society (2009).

274. A.B. Wollaber and E.W. Larsen, “A Hybrid Monte Carlo-Deterministic Approach to Improve the Ac-curacy and Efficiency of Monte Carlo Calculations for Thermal Radiative Transfer,” Proc. 2009 In-ternational Conference on Advances in Mathematics, Computational Methods, and Reactor Physics,May 3-7, 2009, Saratoga Springs, New York, CD-ROM, American Nuclear Society (2009).

275. A.B. Wollaber and E.W. Larsen, “A Linear Stability Analysis for Nonlinear, 1-D, Gray Implicit MonteCarlo Calculations,” Proc. 2009 International Conference on Advances in Mathematics, Computa-tional Methods, and Reactor Physics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM, Amer-ican Nuclear Society (2009).

276. E.R. Wolters, E.W. Larsen, and W.R. Martin, “A Hybrid Monte Carlo-S2 Method for PreservingNeutron Transport Effects,” Proc. 2009 International Conference on Advances in Mathematics, Com-putational Methods, and Reactor Physics, May 3-7, 2009, Saratoga Springs, New York, CD-ROM,American Nuclear Society (2009).

277. J. Yang and E.W. Larsen, “Application of the ‘Functional Monte Carlo’ Method to Estimate Continu-ous Energy k-Eigenvalues and Eigenfunctions,” Proc. 2009 International Conference on Advances inMathematics, Computational Methods, and Reactor Physics, May 3-7, 2009, Saratoga Springs, NewYork, CD-ROM, American Nuclear Society (2009).

278. E.W. Larsen and T.J. Trahan, “2-D Anisotropic Diffusion in Optically Thin Channels, Trans. Am.Nucl. Soc. 101, 387 (2009).

279. E.R. Wolters, E.W. Larsen, and W.R. Martin, “A Hybrid Monte Carlo-S2 Method with No SpatialTruncation Error,” Trans. Am. Nucl. Soc. 101, 714 (2009).

280. Y. Jing, E.W. Larsen, and N. Xiang, “One-Dimensional Transport Equation Models for Sound EnergyPropagation in Long Spaces: Theory, J. Acoustical Soc. Am. 127, 2312 (2010).

281. E.W. Larsen, “Asymptotic Analysis in Nuclear Reactor Theory,” Trans. Am. Nucl. Soc. 101, 711(2009).

282. E.W. Larsen and R. Vasques, “A Generalized Boltzmann Equation for Non-Classical Particle Trans-port,” J. Quant. Spect. Radiat. Transfer 112, 619 (2011).

283. A.K. Prinja and E.W. Larsen, “General Principles of Neutron Transport,” in Handbook of NuclearEngineering, Vol. 1: Nuclear Engineering Fundamentals, edited by D.G. Cacuci, Springer (2010).

284. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “Time-Dependent Simulation of Neutron Detec-tor Response Using MCNP,” Trans. Am. Nucl. Soc. 102, 119 (2010).

285. J. Yang and E.W. Larsen, “Calculation of k-Eigenvalues and Multigroup Eigenfunctions Using theHybrid ‘Functional Monte Carlo’ Method,” Proc. Physor 2010 – Advances in Reactor Physics toPower the Nuclear Renaissance, May 9-14, 2010, Pittsburgh, CD-ROM, American Nuclear Society(2010).

286. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “Time-Dependent Neutron Detector ResponseSimulation for Shielded 252Cf,” 2010 IEEE Nuclear Science Symposium, Conference Record N31-5(2010).

287. E.W. Larsen, “New Asymptotic Diffusion and Simplified PN Approximations for Deep PenetrationProblems. Part 1: Theory,” Transport Theory Statist. Phys. 39, 110 (2010).

288. A.B. Wollaber and E.W. Larsen, “On the Stability of the Ahrens-Larsen or SMC Equations for Ther-mal Radiative Transfer,” Trans. Am. Nucl. Soc. 103 (2010).

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289. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “A Response-Matrix Method for the Calculationof Neutron Pulse Height Distributions in MCNP,” Trans. Inst. Nucl. Mat. Mgt., 51st Annual Meeting,July 11-15, 2010, Baltimore, MD, CD-ROM (2010).

290. A.B. Wollaber and E.W. Larsen, “A Linear Stability Analysis for Nonlinear, Gray, Thermal RadiativeTransfer Problems,” J. Comp. Phys. 230, 1528 (2011).

291. E.W. Larsen, “Problems in Nuclear Engineering,” Proc. Int. Conf. on Mathematics and ComputationalMethods Applied to Nuclear Science and Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May8-12, 2011, on CD-ROM, American Nuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

292. E.R. Wolters, E.W. Larsen, and W.R. Martin, “Generalized Hybrid Monte Carlo-CMFD Methods forFission Source Convergence,” Proc. Int. Conf. on Mathematics and Computational Methods Appliedto Nuclear Science and Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May 8-12, 2011, onCD-ROM, American Nuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

293. A.B. Wollaber, E.W. Larsen, and J.D. Densmore, “Towards a Frequency-Dependent Discrete Maxi-mum Principle for the Implicit Monte Carlo Equations,” Proc. Int. Conf. on Mathematics and Com-putational Methods Applied to Nuclear Science and Engineering (M&C 2011), Rio de Janeiro, RJ,Brazil, May 8-12, 2011, on CD-ROM, American Nuclear Society (ANS), ISBN 978-85-63688-00-2(2011).

294. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “A Response-Matrix Method for the Calculationof Neutron Pulse Height Distributions in MCNP,” Proc. Int. Conf. on Mathematics and ComputationalMethods Applied to Nuclear Science and Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May8-12, 2011, on CD-ROM, American Nuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

295. S.R. Johnson and E.W. Larsen, “An Anisotropic Diffusion Approximation to Thermal RadiativeTransfer,” Proc. Int. Conf. on Mathematics and Computational Methods Applied to Nuclear Scienceand Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May 8-12, 2011, on CD-ROM, AmericanNuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

296. T.J. Trahan and E.W. Larsen, “3-D Anisotropic Neutron Diffusion in Optically Thick Media withOptically Thin Channels,” Proc. Int. Conf. on Mathematics and Computational Methods Applied toNuclear Science and Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May 8-12, 2011, on CD-ROM, American Nuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

297. T.L. Becker and E.W. Larsen, “A General Transform for Variance Reduction in Monte Carlo Sim-ulations,” Proc. Int. Conf. on Mathematics and Computational Methods Applied to Nuclear Scienceand Engineering (M&C 2011), Rio de Janeiro, RJ, Brazil, May 8-12, 2011, on CD-ROM, AmericanNuclear Society (ANS), ISBN 978-85-63688-00-2 (2011).

298. S.R. Johnson and E.W. Larsen, “Boundary Conditions for the Anisotropic Diffusion Approximation,”Trans. Am. Nucl. Soc. 105 (2011).

299. S.R. Johnson and E.W. Larsen, “Diffusion Boundary Conditions in Flatland Geometry,” Trans. Am.Nucl. Soc. 105 (2011).

300. E.W. Larsen, Conference Report: “International Conference on Mathematics and Computational Meth-ods Applied to Nuclear Science and Engineering (MC 2011),” Transport Th. Statist. Phys. 40, 225(2011).

301. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “Simulation of Neutron Pulse Height Distribu-tions with a Response Matrix Method,” Nucl. Sci. Eng. 172, 78 (2012).

302. E.W. Larsen and B.W. Kelley, “CMFD and Coarse-Mesh DSA,” Proc. PHYSOR 2012, Advances inReactor Physics Linking Research, Industry, and Education, Knoxville, Tennessee, April 15-20, 2012,on CD-ROM, American Nuclear Society, LaGrange Park, IL (2012).

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303. B.W. Kelley and E.W. Larsen, “CMFD Acceleration of Spatial Domain-Decomposed Neutron Trans-port Problems,” Proc. PHYSOR 2012, Advances in Reactor Physics Linking Research, Industry, andEducation, Knoxville, Tennessee, April 15-20, 2012, on CD-ROM, American Nuclear Society, La-Grange Park, IL (2012).

304. T.J. Trahan and E.W. Larsen, “An Asymptotic Homogenized Neutron Diffusion Approximation I.Theory,” Proc. PHYSOR 2012, Advances in Reactor Physics Linking Research, Industry, and Educa-tion, Knoxville, Tennessee, April 15-20, 2012, on CD-ROM, American Nuclear Society, LaGrangePark, IL (2012).

305. T.J. Trahan and Edward W. Larsen, “An Asymptotic Homogenized Neutron Diffusion ApproximationII. Numerical Comparisons,” Proc. PHYSOR 2012, Advances in Reactor Physics Linking Research,Industry, and Education, Knoxville, Tennessee, April 15-20, 2012, on CD-ROM, American NuclearSociety, LaGrange Park, IL (2012).

306. A.B. Wollaber, E.W. Larsen, and J.D. Densmore, “A Discrete Maximum Principle for the ImplicitMonte Carlo Equations,” Nucl. Sci. Eng., 173, 259 (2013).

307. E. Olbrant, E.W. Larsen, M. Frank, and B. Seibold, “Asymptotic Derivation of Time-Dependent Sim-plified PN Equations,” J. Comp. Phys., 238, 315 (2013).

308. S. Prasad, S.D. Clarke, S.A. Pozzi, and E.W. Larsen, “Organic Scintillation Detector Response Sim-ulation Using Non-Analog MCNPX-POLIMI,” Proc. PHYSOR 2012, Advances in Reactor PhysicsLinking Research, Industry, and Education, Knoxville, Tennessee, April 15-20, 2012, on CD-ROM,American Nuclear Society, LaGrange Park, IL (2012).

309. E.R. Wolters, E.W. Larsen, and W.R. Martin, “Hybrid Monte Carlo-CMFD Methods for AcceleratingFission Source Convergence,” Nucl. Sci. Eng., 174, 286 (2013).

310. E.W. Larsen, A. Kumar, and J.E. Morel, “Properties of the Implicitly Time-Differenced Equations ofThermal Radiation Transport,” J. Comp. Phys., 238, 82 (2013).

311. R.P. Drake, F.W. Doss, R.G. McClarren, M.L. Adams, et. al., “Radiative Effects in Radiative Shocksin Shock Tubes,” High Energy Density Physics, 7, 130 (2011).

312. K.P. Keady and E.W. Larsen, “A New Biasing Parameter for the Local Importance Function TransformMethod,” Proc. Int. Conf. on Math. & Comp. Methods Applied to Nucl. Sci. & Eng., Sun Valley, Idaho,May 5-9, 2013, on CD-ROM, American Nuclear Society, Lagrange Park, IL (2013).

313. M. Farlotti and E.W. Larsen, “Fission Matrix-Based Monte Carlo Criticality Analysis of Fuel StoragePools,” Proc. Int. Conf. on Math. & Comp. Methods Applied to Nucl. Sci. & Eng., Sun Valley, Idaho,May 5-9, 2013, on CD-ROM, American Nuclear Society, Lagrange Park, IL (2013).

314. B.W. Kelley and E.W. Larsen, “2D/1D Approximations to the 3D Neutron Transport Equation. I:Theory,” Proc. Int. Conf. on Math. & Comp. Methods Applied to Nucl. Sci. & Eng., Sun Valley, Idaho,May 5-9, 2013, on CD-ROM, American Nuclear Society, Lagrange Park, IL (2013).

315. B.W. Kelley, B. Collins, and E.W. Larsen, “2D/1D Approximations to the 3D Neutron TransportEquation. II: Numerical Comparisons,” Proc. Int. Conf. on Math. & Comp. Methods Applied to Nucl.Sci. & Eng., Sun Valley, Idaho, May 5-9, 2013, on CD-ROM, American Nuclear Society, LagrangePark, IL (2013).

316. M.J. Marcath, S.A. Pozzi, E.W. Larsen, and S.D. Clarke, “A New Method for Cross-CorrelationSampling in MCNPX-PoliMi,” Proc. Int. Conf. on Math. & Comp. Methods Applied to Nucl. Sci. &Eng., Sun Valley, Idaho, May 5-9, 2013, on CD-ROM, American Nuclear Society, Lagrange Park, IL(2013).

317. E.W. Larsen and B.W. Kelley, “The Relationship Between the Coarse-Mesh Finite Difference and theCoarse-Mesh Diffusion Synthetic Acceleration Methods,” Nucl. Sci. Eng., 178, 1-15 (2014).

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318. R. Vasques and E.W. Larsen, “Non-classical Particle Transport with Angular-Dependent Path-LengthDistributions. I: Theory,” Ann. Nucl. Energy, 70, 292-300 (2014).

319. R. Vasques and E.W. Larsen, “Non-classical Particle Transport with Angular-Dependent Path-LengthDistributions. II: Application to Pebble Bed Reactor Cores,” Ann. Nucl. Energy, 70, 301-311 (2014).

320. S.A. Pozzi, B. Wieger, A. Enqvist, S.D. Clarke, M. Flaska, M. Marcath, and E. Larsen, “CorrelatedNeutron Emissions from 252Cf,” Nucl. Sci. Eng., 178, 1-11 (2014).

321. T.G. Saller, E.W. Larsen, and T. Downar, “An Asymptotic Homogenized SP2 Approximation to theBoltzmann Equation. I. Derivation,” Proc. PHYSOR 2014, Kyoto, Japan, Sept. 28-Oct. 3, 2014, onCD-ROM, American Nuclear Society (2014).

322. T.G. Saller, E.W. Larsen, and T. Downar, “An Asymptotic Homogenized SP2 Approximation to theBoltzmann Equation. II. Discontinuity Factors and Numerical Testing,” Proc. PHYSOR 2014, Kyoto,Japan, Sept. 28-Oct. 3, 2014, on CD-ROM, American Nuclear Society (2014).

323. K.P. Keady and E.W. Larsen, “Stability of Monte Carlo k-Eigenvalue Simulations with CMFD Feed-back,” J. Comp. Phys., submitted.

324. M. Frank, K. Krycki, E.W. Larsen, and R. Vasques, “The Non-Classical Boltzmann Equation, andDiffusion-Based Approximations to the Boltzmann Equation,” SIAM J. Appl. Math., 75, 1329 (2015).

325. M.J. Marcath, S.D. Clarke, B.M. Wieger, E. Padovani, E.W. Larsen, and S.A. Pozzi, “An ImplicitCorrelation Method for Cross-Correlation Sampling, with MCNPX-PoliMi Validation,” Nucl. Sci.Eng., 181, 1 (2015).

326. K.P. Keady and E.W. Larsen, “Stability of SN K-Eigenvalue Iterations Using CMFD Acceleration,”Proc. MC2015, Nashville, Tennessee, April 19-23, 2015, on CD-ROM, American Nuclear Society(2015).

327. T.J. Trahan and E.W. Larsen, “Variationally-Derived Discontinuity Factors for the Asymptotic, Ho-mogenized Diffusion Equation,” Proc. MC2015, Nashville, Tennessee, April 19-23, 2015, on CD-ROM, American Nuclear Society (2015).

328. B.C. Yee and E.W. Larsen, “A New Multiple Balance Method for Spatially Discretizing the SN Equa-tions,” Proc. MC2015, Nashville, Tennessee, April 19-23, 2015, on CD-ROM, American NuclearSociety (2015).

329. M. Jarrett, B.W. Kelley, B. Kochunas, T. Downar, and E. Larsen, “Stabilization Methods for CMFDAcceleration,” Proc. MC2015, Nashville, Tennessee, April 19-23, 2015, on CD-ROM, American Nu-clear Society (2015).

330. T.G. Saller, E.W. Larsen, and T. Downar, “An Asymptotic Scaling Factor for Multigroup Cross Sec-tions,” Proc. MC2015, Nashville, Tennessee, April 19-23, 2015, on CD-ROM, American NuclearSociety (2015).

331. T.J. Trahan and E.W. Larsen “Asymptotic, Multigroup Flux Reconstruction and Consistent Disconti-nuity Factors,” J. Nucl. Sci. & Technol., 52, 917 (2015).

332. K.P. Keady and E.W. Larsen, “A Modified Monte Carlo ‘Local Importance Function Transform’Method,” Nucl. Eng. Design, submitted.

333. B.W. Kelley and E.W. Larsen, “A Consistent 2D/1D Approximation to the 3D Neutron TransportEquation,” Nucl. Eng. Design, submitted.

334. B. Collins, S. Stimpson, B.W. Kelley, M.T.H. Young, B. Kochunas, E.W. Larsen, T. Downar, and A.Godfrey, “Three-Dimensional Nuclear Reactor Core Simulations of the Boltzmann Transport Equa-tion with the 2D/1D Method Using MPACT,” J. Comp. Phys., submitted.

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