Publications by Eleuterio F. TORO (Updated: 25th Sept. 2016)

————————————–2016—————————–

References

[1] Eleuterio F. Toro. Brain Venous Haemodynamics, Neurological Diseases and MathematicalModelling. A Review. Applied Mathematics and Computation. Vol. 272, pp 542-579,2016. doi:10.1016/j.amc.2015.06.066

[2] L. O. Muller, E. F. Toro, E. M. Haacke and D. Utriainen. Impact of CCSVI on cerebralhaemodynamics: a mathematical study. Phlebology, Vol. 31, No 5, pp 305-324, 2016, doi:10.1177/0268355515586526.

[3] Christian Contarino, Gino I. Montecinos, Raul Borsche, Jochen Kall, Eleuterio F. Toro.Junction-Generalized Riemann Problem for Stiff Hyperbolic Balance Laws in Networks: anImplicit Solver and ADER Schemes. Journal of Computational Physics. Vol. 315, pages409-433, 2016.

[4] Dinshaw S. Balsara, Gino Montecinos, and Eleuterio F. Toro. Exploring Various Flux VectorSplittings for the Magnetohydrodynamic System. Journal of Computational Physics, Vol.311, pages 1-21, 2016.

[5] Laura Facchini, Alberto Bellin and Eleuterio F. Toro. Modeling Loss of Microvascular WallHomeostasis During Glycocalyx Deterioration and Hypertension that Impacts Plasma Filtra-tion and Solute Exchange. Current Neurovascular Research , Volume 13, Number 2,pages 147-155, 2016.

[6] G. I. Montecinos, J. C. Lopez, R. Lecaros, J. Ortega and E. F. Toro. An ADER-type schemefor a class of equations arising from the water-wave theory. Computers and Fluids. Vol.132, pp 76-93, 2016.

[7] Davide Vanzo, Annunziato Siviglia and Eleuterio F. Toro. Pollutant transport by shallowwater equations on unstructured meshes: hyperbolization of the model and numerical solutionvia a novel flux splitting scheme Journal of Computational Physics. Volume 321, Pages1-20, 15 September 2016.

[8] Svetlana Tokareva and Eleuterio F. Toro. A flux vector splitting method for the Baer-Nunziatoequations of compressible two-phase flow. Journal of Computational Physics. Vol. 323,pp 45-74, 2016.

[9] Saray Bustos, M. Elena Vazquez-Cendon and Eleuterio F. Toro. Design and analysis ofADER-type schemes for model advection-diffusion-reaction equations. Journal of Compu-tational Physics. Available online 22 September.

[10] Eleuterio F. Toro. The Riemann Problem: Solvers, Uses and Generalisations. Invited chapterfor Elsevier Handbook of Numerical Methods for Hyperbolic Problems. To appear2016.

[11] A. Caiazzo, F. Caforio, G. I. Montecinos, L. O. Muller, P. J. Blanco and E. F. Toro. Assess-ment of unscented reduced-order Kalman filter for parameter identification in one-dimensionalblood flow models using experimental data. International Journal for Numerical Meth-ods in Biomedical Engineering. Under review, 2016.

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[12] M. Strocchi, C. Contarino, Q. Zhang, R. Bonmassari and E. F. Toro. A global mathematicalmodel for the simulation of stenoses and bypass placement in the human arterial system.Journal of Applied Mathematics and Computation. Submitted, 2016.

[13] F Caforio, E F Toro, L O Muller, E M Haacke, D T Utriainen and S K Sethi. UnilateralExtracranial Venous Anomalies, Intracranial Hypertension, Multiple Sclerosis and IdiopathicParkinsons Disease: a Mathematical and MRI study. Current Neurovascular Research.Submitted, 2016.

[14] Chiara Spiller, Eleuterio F Toro, M. Elena Vazquez-Cendon and Christian Contarino. On theRiemann problem for blood flow in human veins, including collapse. Journal of AppliedMathematics and Computation. Submitted, 2016.

————————————–2015—————————–

[15] Eleuterio F. Toro, Cristobal Castro and Bok Jick Lee. A novel numerical flux for the 3DEuler equations with general equation of state. Journal of Computational Physics. Vol.303, pages 80-94, 2015.

[16] Eleuterio F. Toro and Gino I. Montecinos. Implicit, semi-analytical solution of the generalizedRiemann problem for stiff hyperbolic balance laws. Journal of Computational Physics.Volume 303, Pages 146-172, 2015.

[17] Eleuterio F. Toro, Lucas O. Muller, Mariapaola Cristini, Erica Menegatti and PaoloZamboni. Impact of Jugular Vein Valve Function on Cerebral Venous Haemodynam-ics. Current Neurovascular Research. Vol. 12, No. 4, pages 384-397, 2015. DOI:10.2174/1567202612666150807112357

[18] Jun-Bo Cheng, Eleuterio F. Toro, Song Jiang, Ming Yu. A second-order cell-centered La-grangian scheme for one-dimensional elastic-plastic problems. Computers and Fluids. Vol.122, pp 136-152, 2015.

[19] Francesco Sisini, Eleuterio Toro, Mauro Gambaccini and Paolo Zamboni. The oscillatingcomponent of the internal jugular vein flow: the overlooked element of the cerebral circulation.Behavioural Neurology. Special Issue on: Blood and Fluid Circulation of theBrain: The Neurovascular Component of Neurodegeneration. Volume 2015, ArticleID 170756, 9 pages, 2015.

————————————–2014—————————–

[20] Eleuterio F. Toro and Gino I. Montecinos. Advection-diffusion-reaction equations: hyperboli-sation and high-order ADER discretizations. SIAM Journal of Scientific Computing.Vol. 36, No. 5, pp. A2423-A2457, 2014.

[21] Gino I. Montecinos, Lucas O. Muller and Eleuterio F. Toro. Hyperbolic reformulation of a 1Dviscoelastic blood flow model and ADER finite volume schemes. Journal of ComputationalPhysics. Volume 266, Pages 101123, 1 June, 2014.

[22] Lucas O. Muller and Eleuterio F. Toro. Enhanced global mathematical model for studyingcerebral venous blood flow. Journal of Biomechanics. Volume 47, Issue 13, 17 October2014, Pages 3361-3372.

Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences, University ofCambridge, UK. http://www.newton.ac.uk/preprints2014.html

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[23] Lucas O. Muller and Eleuterio F. Toro. A global multi-scale model for the human circulationwith emphasis on the venous system. International Journal for Numerical Methods inBiomedical Engineering. Volume 30, Issue 7, pages 681725, July 2014.

[24] Laura Facchini, Alberto Bellin and Eleuterio F. Toro. A model for filtration and macro-molecule transport across capillary walls. Microvascular Research. Vol. 94, pp 52-63, 2014.

[25] Alfonso Caiazzo, Gino I. Montecinos, Lucas O. Muller, E. Mark Haacke and Eleuterio F. Toro.Computational Haemodynamics in Stenotic Internal Jugular Veins. Journal of Mathemat-ical Biology. Vol. 7, No 4, pp 745-72, 2015. doi: 10.1007/s00285-014-0778-7.

Also published on line as pre-print: WIAS Institute, Berlin, Germany. http://www.wias-berlin.de/publications/wias-publ/run

[26] Arturo Hidalgo, Lourdes Tello and Eleuterio F. Toro. Numerical and analytical study of anatherosclerosis inflammatory disease model. Journal of Mathematical Biology. Vol. 68,Pages 1785-1814, 2014. DOI 10.1007/s00285-013-0688-0.

[27] Cristobal E. Castro and Eleuterio F. Toro. Roe-type Riemann solver for general hyperbolicsystems. International Journal for Numerical Methods in Fluids. Article first pub-lished online: 1 April 2014. DOI: 10.1002/fld.3903.

[28] Gino I. Montecinos and Eleuterio F. Toro. Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. Journal of ComputationalPhysics. Volume 275, 15 October, Pages 415-442, 2014.

[29] Han E, Warneche G, Toro E F and Siviglia A. On Riemann solutions to weakly hyperbolicsystems: Part 1. Modelling subcritical flows in arteries. SIAM Journal of MathematicalAnalysis (Submitted).

Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences, University ofCambridge, UK. NPA-NI15003 https://www.newton.ac.uk/science/publications/preprints

[30] Han E, Warneche G, Toro E F and Siviglia A. On Riemann solutions to weakly hyperbolicsystems: Part 2. Modelling supercritical flows in arteries. SIAM Journal of Mathemati-cal Analysis. (Submitted).

Also published as Pre-print. Isaac Newton Institute for Mathematical Sciences, University ofCambridge, UK. NPA-NI15004 https://www.newton.ac.uk/science/publications/preprints

————————————–2013—————————–

[31] Lucas O. Muller and Eleuterio F. Toro. Well-balanced high-order solver for blood flow in net-works of vessels with variable properties. International Journal for Numerical Methodsin Biomedical Engineering. Vol. 29, pages 1388-1411, 2013. DOI: 10.1002/cnm.2580

[32] Lucas O. Muller, Carlos Pares, Eleuterio F. Toro. Well-balanced high-order numerical schemesfor one-dimensional blood flow in vessels with varying mechanical properties. Journal ofComputational Physics. Volume 242, pages 53-85, 2013.

[33] E F Toro and A Siviglia. Flow in collapsible tubes with discontinuous mechanical properties:mathematical model and exact solutions. Communications in Computational Physics.Vol. 13, Number 2, pp 361-385, Feb. 2013.

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[34] Bok Jik Lee, Eleuterio F. Toro, Cristobal E. Castro and Nikos Nikiforakis. Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. Journal ofComputational Physics. Vol. 246, Pages 165-183, August 2013.

[35] Jun-Bo Cheng, Eleuterio F. Toro, Song Jiang and Wei-Jun Tang. A sub-cell WENO recon-struction method for spatial derivatives in the ADER scheme. Journal of ComputationalPhysics. Volume 251, Pages 53-80, 15 October 2013.

[36] Annunziato Siviglia, Guglielmo Stecca, Davide Vanzo, Guido Zolezzi, Eleuterio F. Toro andMarco Tubino. Numerical modelling of two-dimensional morphodynamics with applicationsto river bars and bifurcations. Advances in Water Resources. Volume 52, Pages 243-260,2013.

[37] Riadh Ata, Sara Pavan, Sofiane Khelladi and Eleuterio F. Toro. A Weighted Average Flux(WAF) scheme applied to shallow water equations for real-life applications. Advances inWater Resources. Volume 62, Pages 155-172, 2013.

[38] E F Toro. The Riemann problem in computational science. Numerical Methods for Hy-perbolic Equations: Theory and Applications. An international conference tohonour Professor E. F. Toro. M. E. Vazquez-Cendon, A. Hidalgo, P. Garcıa-Navarro andL. Cea (editors). Pages 87-106. CRC Press, Taylor-Francis Group, ISBN 978-0-415-62150-2,2013.

[39] L Facchini, A Bellin and E F Toro. A simple model of filtration and macromolecule transportthrough microvascular walls. Numerical Methods for Hyperbolic Equations: Theoryand Applications. An international conference to honour Professor E. F. Toro.M. E. Vazquez-Cendon, A. Hidalgo, P. Garcıa-Navarro and L. Cea (editors). Pages 339-346.CRC Press, Taylor-Francis Group, ISBN 978-0-415-62150-2, 2013.

[40] L O Muller, G I Montecinos and E F Toro. Some issues in modelling venous haemodynamics.Numerical Methods for Hyperbolic Equations: Theory and Applications. Aninternational conference to honour Professor E. F. Toro. M. E. Vazquez-Cendon, A.Hidalgo, P. Garcıa-Navarro and L. Cea (editors). Pages 347-354. CRC Press, Taylor-FrancisGroup, ISBN 978-0-415-62150-2, 2013.

[41] M E Vazquez-Cendon and E F Toro. A framework for flux-vector splitting schemes. Numer-ical Methods for Hyperbolic Equations: Theory and Applications. An interna-tional conference to honour Professor E. F. Toro. M. E. Vazquez-Cendon, A. Hidalgo,P. Garcıa-Navarro and L. Cea (editors). Pages 379-387. CRC Press, Taylor-Francis Group,ISBN 978-0-415-62150-2, 2013.

————————————–2012—————————–

[42] G Montecinos and E F Toro. Solver for the Generalized Riemann Problem for Balance Lawswith Stiff Source Terms: the Scalar Case. Hyperbolic Problems. Theory, Numerics andApplications. Tatsien Li and Song Jian (Editors). Vol. 2, Pages 576-583. Higher EducationPress. 2012.

[43] G Stecca, E F Toro and A Siviglia A finite volume upwind-biased centred scheme for hyperbolicsystems of conservation laws. Applications to shallow water equations. Communications inComputational Physics. Vol. 12, No. 4, pp. 1183-1214; doi: 10.4208/cicp.180511.071211aOctober 2012.

[44] E F Toro and M E Vazquez-Cendon. Flux splitting schemes for the Euler equations. Com-puters and Fluids. Vol. 70, Pages 1-12, 2012.

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[45] G I Montecinos, C E Castro, M Dumbser and E F Toro. Comparison of solvers for the general-ized Riemann problem for hyperbolic systems with source terms. Journal of ComputationalPhysics. Vol. 231, pp 6472-6494, 2012. DOI: http://dx.doi.org/10.1016/j.jcp.2012.06.011

[46] C E Castro, E F Toro and M Kaeser. ADER scheme on unstructured meshes for shallowwater: simulation of tsunami waves. Geophysics Journal International. Vol. 189, pages1505-1520, 2012. doi: 10.1111/j.1365-246X.2012.05471.x

[47] C E Zambra, M Dumbser, E F Toro and N O Moraga. A novel numerical method of highorder accuracy for flow in unsatured porous media. International Journal for NumericalMethods in Engineering. Vol. 89, No 2, pp 227–240, 2012.

[48] V Casulli, M Dumbser and E F Toro. Semi-implicit numerical modelling of axially symmet-ric flows in compliant arterial systems. International Journal for Numerical Meth-ods in Biomedical Engineering. Volume 28, Issue 2, pages 257-272, 2012. DOI:10.1002/cnm.1464.

————————————–2011—————————–

[49] E F Toro. High-order accuracy: monotonicity and non-linear methods. Lecture Noteson Numerical Methods for Hyperbolic Equations: Short Course Book. ElenaVazquez-Cendon (Editor). Pages 53-83. CRC Press, Taylor and Francis Group,2011.

[50] E F Toro and A Siviglia. Simplified blood flow model with discontinuous vessel properties:analysis and exact solutions. Modelling Physiological Flows Series: Modelling, Sim-ulation and Applications. Editors: D. Ambrosi, A. Quarteroni and G. Rozza.Springer-Verlag, 2011, ISBN 978-88-470-1934-8.

[51] Alberto Canestrelli and Eleuterio F. Toro. Restoration of the contact surface in FORCE-type centred schemes I: homogeneous two-dimensional shallow water equations. Advancesin Water Resources. Volume 47, Pages 88-99, 2012.

[52] Alberto Canestrelli and Eleuterio F. Toro. Restoration of the contact surface in FORCE-type centred schemes II: non conservative one- and two-layer two-dimensional shallow waterequations. Advances in Water Resources. Volume 47, Pages 76-87, 2012.

[53] Carlos E. Zambra, Michael Dumbser, Eleuterio F. Toro, Nelson Moraga. Finite VolumeSchemes of High Order of Accuracy in Time and Space for Flows in Unsaturated PorousMedia. International Journal for Numerical Methods in Engineering. Volume 89,Issue 2, pages 227-240, 2012.

[54] B Tian, E F Toro and C E Castro. A path-conservative method for a five-equation model oftwo-phase flow with an HLLC-type Riemann solver. Computers and Fluids, Vol. 46, pp122-132, 2011.

[55] Michael Dumbser and Eleuterio Toro. A simple extension of the Osher Riemann solver togeneral non-conservative hyperbolic systems. Journal of Scientific Computing. Volume48, Pages 70-88, 2011.

[56] Michael Dumbser and Eleuterio Toro. On universal Osher-type schemes for general nonlinearhyperbolic conservation laws. Communications in Computational Physics. Vol. 10, pp635-671, 2011.

[57] E F Toro and M Dumbser. Reformulated Osher-type Riemann solver. Computational FluidDynamics 2010. Springer-Verlag, Alexander Kuzmin (editor), 2011, pp 131-136.

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[58] S A Tokareva and E F Toro. HLLC-type Riemann solver for the Baer-Nunziato equationsof compressible two-phase flow. Computational Fluid Dynamics 2010. Springer-Verlag,Alexander Kuzmin (editor), 2011, pp 99-104.

[59] G Stecca, E F Toro and A Siviglia Upwind-biased FORCE schemes on unstructured mesheswith applications to free-surface shallow flows. In Proceedings of the First EuropeanIAHR Congress, Edinburgh, UK, May 4-6 2010.

————————————–2010—————————–

[60] E F Toro. Riemann solvers in aerospace engineering. In Encyclopedia of Aerospace En-gineering. R Blockey and W Shyy (Editors). John Wiley and Sons Ltd, Chichester, UK, pp525-532, 2010.

[61] E F Toro and M Dumbser. ADER schemes for time-dependent PDEs: review and applicationsto astrophysics. Keynote invited paper. Numerical Modelling of Space Plasma Flows.ASTRONUM-2009. N V Pogorelov, E Audit and G P Zank (editors). Astronomical Societyof the Pacific Conference Series, Vol. 429, pages 281-293, 2010.

[62] S A Tokareva and E F Toro. HLLC-type Riemann solver for the Baer-Nunziato equations ofcompressible two-phase flow. Journal of Computational Physics. Vol. 229, pages 3573-3604, 2010.

[63] Guglielmo Stecca, Annunziato Siviglia and Eleuterio Toro. Upwind-biased FORCE schemeswith applications to free-surface shallow flows. Journal of Computational Physics. Vol.229, pages 6362-6380, 2010.

[64] Eugene Romenski, Dimitris Drikakis and Eleuterio Toro. Conservative models and numericalmethods for compressible two-phase flow. Journal of Scientific Computing. Vol. 42, pages68-95, 2010. DOI 10.1007/s10915-009-9316-y.

[65] Giovanna Grosso, Matteo Antuono and Eleuterio Toro. The Riemann problem for the disper-sive non-linear shallow water equations. Communications in Computational Physics.Vol. 7, No. 1, pp. 64-102, 2010. doi: 10.4208/cicp.2009.08.181

[66] A M Canestrelli, M Dumbser, A Siviglia and E F Toro. Well-balanced high-order centredschemes on unstructured meshes for multi-dimensional non-conservative hyperbolic systems.Advances in Water Resources. Vol. 33, No. 3, pages 291-303. 2010.

[67] Michael Dumbser, Manuel Castro, Carlos Pares, Eleuterio Toro and Arturo Hidalgo. FORCEschemes on unstructured meshes II: non-conservative hyperbolic systems. Computer Meth-ods in Applied Mechanics and Engineering. Vol. 199, Issue 9-12, pages 625-647, 2010.

[68] A Ferrari, L Fraccarollo, M Dumbser, E F Toro and A Armanini. Three-dimensional flowevolution after a dam break. Journal of Fluid Mechanics. Vol. 663, pp. 456-477, 2010.

[69] A Ferrari, M Dumbser, E F Toro and A Armanini. A new 3D parallel SPH scheme for free-surface flows. In book High Performance Computing on Vector Systems. Springer-Verlag, pages 179-188, 2010.

————————————–2009—————————–

[70] Eleuterio Toro. Riemann solvers and numerical methods for fluid dynamics. A practical intro-duction. Third edition. Springer-Verlag, Berlin Heidelberg, 2009. BOOK (724 pages).ISBN 978-3-540-25202-3, 2009. http://link.springer.com/book/10.1007%2Fb79761

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[71] E F Toro, A Hidalgo and M Dumbser. FORCE schemes on unstructured meshes I: conserva-tive hyperbolic systems. Journal of Computational Physics. Vol. 228, pages 3368-3389,2009.

[72] Eleuterio Toro and Arturo Hidalgo. ADER finite volume schemes for non-linear reaction-diffusion equations. Applied Numerical Mathematics. Vol. 59, pages 73-100, 2009.

[73] C E Castro, M Kaeser and E F Toro. Space-time adaptive numerical methods for geophys-ical applications. Phil. Trans. Royal Soc. London A. Vol. 367, pages 4613-4631, 2009.doi:10.1098/rsta.2009.0158.

[74] Alberto Canestrelli, Annunziato Siviglia, Michael Dumbser and Eleuterio Toro. Well-balancedhigh-order centred schemes for non-conservative hyperbolic systems. Applications to shallowwater equations with fixed and mobile bed. Advances in Water Resources. Vol. 32, pages834-844, 2009.

[75] A Siviglia and E F Toro. The WAF method and splitting procedures for simulating hydro andthermal peaking waves in open channel flows. Journal of Hydraulic Engineering. Vol.135, No 8, pages 651-662, 2009.

[76] A Ferrari, M Dumbser, E F Toro and A Armanini. A new 3D parallel SPH scheme forfree-surface flows. Computers and Fluids. Vol. 38, pages 1203-1217, 2009.

[77] M Dumbser, M Castro, C Pares and E F Toro. ADER schemes on ustructured meshes for non-conservative hyperbolic systems: applications to geophysical flows. Computers and Fluids.Vol. 38, Number 9, pages 1731-1748, 2009.

[78] M Castro, A Pardo, C Pares and E F Toro. On some fast well-balanced first order solvers fornonconservative systems. Mathematics of Computation. Vol. 79, pages 1427-1472, 2009.

[79] A Canestrelli, A Siviglia, M Dumbser and E F Toro. Well-balanced high-order centredschemes for non-conservative hyperbolic systems. Applications to shallow water equations withfixed and mobile bed. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI09023-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.ac.uk/preprints2009.html.

————————————–2008—————————–

[80] C E Castro and E F Toro. Solvers for the high-order Riemann problem for hyperbolic balancelaws. Journal of Computational Physics. Vol. 227, pages 2481-2513, 2008.

[81] M Dumbser, C Enaux and E F Toro. Finite volume schemes of very high order of accuracyfor stiff hyperbolic balance laws. Journal of Computational Physics. Vol. 227, pages3971-4001, 2008.

[82] M Dumbser, D Balsara, E F Toro and C D Munz.A unified framework for the construction ofone-step finite-volume and discontinuous Galerkin schemes on unstructured meshes. Journalof Computational Physics. Vol. 227, pages 8209-8253, 2008.

[83] G Vignoli, V A Titarev and E F Toro. ADER schemes for the shallow water equations inchannel with irregular bottom elevation. Journal of Computational Physics. Vol. 227,pages 2463-2480, 2008.

[84] R Bernetti, V A Titarev and E F Toro. Exact solution of the Riemann problem for the shallowwater equations with discontinuous bottom geometry. Journal of Computational Physics.Vol. 227, pages 3212-3243, 2008.

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[85] V A Titarev, E Romenski and E F Toro. MUSTA-type upwind fluxes for non-linear elasticity.International Journal for Numerical Methods in Engineering. Vol. 73, pages 897-926,2008.

[86] A Ferrari, M Dumbser, E F Toro and A Armanini. A new stable SPH scheme in Lagrangiancoordinates. Communications in Computational Physics. Vol. 4, No 2, pages 378-404,2008.

[87] E F Toro. Computational methods for hyperbolic equations. Invited contribution. In Jetsfrom Young Stars: Numerical MHD and Instabilities. Springer Lecture Notes inPhysics. Vol. 754. S Massaglia, G Bodo, A Mignone and P Rossi (editors). 2008.

[88] E F Toro and C E Castro. The derivative Riemann problem for the Baer-Nunziato equations.In Hyperbolic Problems: Theory, Numerics and Applications. Vol. 1, pages 1045-1052, Sylvie Benzoni-Gavage and Denis Serre (editors). Springer, 2008.

[89] G Russo, V A Titarev and E F Toro. ADER-Runge-Kutta schemes for conservation laws inone space dimension. In Hyperbolic Problems: Theory, Numerics and Applications.Vol. 1, pages 929-936, Sylvie Benzoni-Gavage and Denis Serre (editors). Springer, 2008.

[90] E F Toro, A Hidalgo and M Dumbser. FORCE schemes on unstructured meshes I: conserva-tive hyperbolic systems. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI09005-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.ac.uk/preprints2008.html

[91] Manuel Castro, Carlos Pares, Eleuterio Toro, Michael Dumbser and Arturo Hidalgo. FORCEschemes on unstructured meshes II: non-conservative hyperbolic systems. Isaac NewtonInstitute for Mathematical Sciences Preprint Series NI09017-MPA. University ofCambridge, UK. Available in pdf format at: http://www.newton.ac.uk/preprints2008.html

[92] M J Castro, C Pares, A Pardo and E F Toro. Well-balanced high-order MUSTA schemes fornon-conservative hyperbolic systems. Numerical Mathematics and Advanced Applications,Springer, pages 249-256, 2008

————————————–2007—————————–

[93] E F Toro and P Garcia-Navarro. Godunov-type methods for free-surface shallow flows: areview. Journal of Hydraulic Research. Vol. 45, pages 736-751, 2007.

[94] M Dumbser, M Kaeser, V A Titarev and E F Toro. Quadrature-free non-oscillatory finitevolume schemes on unstructured meshes for non-linear hyperbolic systems. Journal of Com-putational Physics. Vol. 221, pages 693-723, 2007.

[95] M Dumbser, M Kaeser and E F Toro. An arbitrary high order discontinuous Galerkin methodfor elastic waves on unstructured meshes V: local time stepping and p-adaptivity. Geophys-ical Journal International. Vol. 171, pages 695-717, 2007.

[96] V A Titarev and E F Toro. Analysis of ADER and ADER-WAF schemes. IMA Journal ofNumerical Analysis. Vol. 27, pages 616-630, 2007.

[97] D Zeidan, A Slaouti, E Romenski and E F Toro. Numerical solution for hyperbolic conservativetwo-phase flow equations. International Journal of Computational Methods. Vol. 4,No. 2, pages 299-333, 2007.

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[98] D Zeidan, E Romenski, A Slaouti and E. F. Toro. Numerical study of wave propagation incompressible two-phase flow. International Journal for Numerical Methods in Fluids.Vol. 54, pages 393-417, 2007.

[99] E Romensky, A D Resnyanski and E F Toro. Conservative hyperbolic formulation for com-pressible two-phase flow with different phase pressures and temperatures. Quarterly of Ap-plied Mathematics. Vol. 6, pages 259-279, 2007.

[100] E F Toro, C E Castro and M Dumbser. ADER high-order schemes for evolutionary PDEs: abrief review. Keynote invited paper. In Proceedings of Japanese Conference on Com-putational Fluid Dynamics. Tokyo, Japan, June 2007. Aiso H (editor).

[101] E F Toro, M Dumbser, V A Titarev and M Kaeser. The derivative Riemann problem: the basisfor high order ADER schemes. In Proceedings of ECCOMAS CFD 2006 Conference.Egmond aan Zee, The Netherlands. September 5-8, 2006. P Wesseling, E Onate and JPeriaux (editors). 2006.

[102] G Vignoli, E F Toro and V A Titarev. ADER schemes for the shallow water equationsin channels with irregular bottom elevation. In Proceedings of ECCOMAS CFD 2006Conference. Egmond aan Zee, The Netherlands. September 5-8, 2006. P Wesseling, EOnate and J Periaux (editors). 2006.

[103] V A Titarev, E Romenski and E F Toro. Development and application of generalized MUSTAschemes. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee,The Netherlands. September 5-8, 2006. P Wesseling, E Onate and J Periaux (editors).2006.

[104] V A Titarev and E F Toro. ADER schemes for hyperbolic conservation laws with reactiveterms. In Proceedings of ECCOMAS CFD 2006 Conference. Egmond aan Zee, TheNetherlands. September 5-8, 2006. P Wesseling, E Onate and J Periaux (editors). 2006.

[105] C E Castro and E F Toro. New numerical approaches to multiphase flow modelling. In Ad-vancements in Energetic Materials and Chemical Propulsion. 6-ISICP. Redding,Connecticut, USA. K K Kuo and J D Rivera (editors). ISBN/ISSN: 978-1-56700-239-3, 2007

[106] C E Castro and E F Toro. ADER DG and FV schemes for shallow water flows. In Pro-ceedings 14th European Conference on Mathematics for Industry. ECMI, Madrid,Spain, 10-14 July, 2007.

[107] A Ferrari, M Dumbser, E F Toro and A Armanini. A new stable and consistent version of theSPH method in Lagrangian coordinates. In Proceedings of SPHERID: 2nd InternationalWorkshop. Vol. 1, pages 79-82. Caica Ediciones, ISBN: 978-84-690-6159-6, 2007.

[108] E F Toro and A Hidalgo. ADER finite volume schemes for non-linear diffusion-reactionequations. Isaac Newton Institute for Mathematical Sciences Preprint Se-ries NI07011-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2007.

[109] M Dumbser, D Balsara, C D Munz and E F Toro. A unified framework for theconstruction of one-step finite-volume and discontinuous Galerkin schemes on unstruc-tured meshes. Isaac Newton Institute for Mathematical Sciences Preprint Se-ries NI07084-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2007.

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[110] M Dumbser, C Enaux and E F Toro. Explicit finite volume schemes of arbitrary high orderof accuracy for hyperbolic systems with stiff source terms. Isaac Newton Institute forMathematical Sciences Preprint Series NI07007-NPA. University of Cambridge,UK. Available in pdf format at: http://www.newton.cam.ac.uk/preprints2007.

————————————–2006—————————–

[111] E F Toro and V A Titarev. Derivative Riemann solvers for systems of conservation laws andADER methods. Journal of Computational Physics. Vol. 212, pages 150-165, 2006.

[112] E F Toro. Riemann solvers with evolved initial conditions. International Journal for Nu-merical Methods in Fluids. Vol. 52, pages 433-453, 2006.

[113] E F Toro. A multi-stage numerical flux. Applied Numerical Mathematics. Vol. 56, Issues10-11, pages 1464-1479, 2006.

[114] E F Toro and V A Titarev. MUSTA fluxes for systems of conservation laws. Journal ofComputational Physics. Vol. 216, pages 403-429, 2006.

[115] E Romenski, V A Titarev and E F Toro. Perfectly matched layers with high rate damping forhyperbolic systems. International Journal of Computational Fluid Dynamics. Vol. 15,pages 240-246, 2006.

[116] C E Castro and E F Toro. A Riemann solver and upwind methods for a two-phase flow modelin non-conservative form. International Journal for Numerical Methods in Fluids.Vol. 60, pages 275-307, 2006.

[117] E F Toro, M Kaeser, M Dumbser and C E Castro. ADER shock-capturing schemes and geo-physical applications. Invited inaugural lecture of the 25th International Symposium on ShockWaves, Bangalore, India, July, 2005. In Shock Waves: Proceedings of the 25th Interna-tional Symposium on Shock Waves-ISSW25, July 17-22, 2005, Bangalore, India.G Jagadeesh, E Arunan and K P J Reddy (editors). Universities Press (India). Distributedby Orient Longman. ISBN: 8173715718, 2006.

[118] R Bernetti, V A Titarev and E F Toro. Exact solution of the Riemann problem for theshallow water equations with discontinuous bottom geometry. Isaac Newton Institute forMathematical Sciences Preprint Series NI06020-NPA. University of Cambridge,UK. Available in pdf format at: http://www.newton.cam.ac.uk/preprints2006.

[119] G Vignoli, V A Titarev and E F Toro. ADER schemes for the shallow water equationsin channel with irregular bottom elevation. Isaac Newton Institute for MathematicalSciences Preprint Series NI06051-NPA. University of Cambridge, UK. Availablein pdf format at: http://www.newton.cam.ac.uk/preprints2006.

[120] C E Castro, E F Toro. Alternative solvers for the derivative Riemann problem for hy-perbolic balance laws. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI06053-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2006.

————————————–2005—————————–

[121] E F Toro and V A Titarev.ADER schemes for scalar hyperbolic conservation laws with sourceterms in three space dimensions. Journal of Computational Physics. Vol. 202, pages 196-215, 2005.

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[122] V A Titarev and E F Toro. ADER schemes for three-dimensional non-linear hyperbolic sys-tems. Journal of Computational Physics. Vol. 204, pages 715-736, 2005.

[123] V A Titarev and E F Toro. ENO and WENO schemes based on upwind and centred TVDfluxes. Computers and Fluids. Vol. 3, pages 705-720, 2005.

[124] V A Titarev and E F Toro. MUSTA schemes for multi-dimensional hyperbolic systems: anal-ysis and improvements. International Journal for Numerical Methods in Fluids. Vol.49, pages 117-147, 2005.

[125] H. Stadtke, G. Franchello, B. Worth, U. Graf, P. Romstedt, A. Kumbaro, J. Garcıa-Cascales,H. Paillere, H. Deconinck, M. Ricchiuto, B. Smith, F. De Cachard, E. F. Toro, E. Romenski,S. Mimouni Advanced three-dimensional two-phase flow simulation tools for application toreactor safety (ASTAR). Nuclear Engineering Design. Vol. 235, pages 379-400, 2005.

[126] E F Toro and V A Titarev. TVD fluxes for the high-order ADER schemes. Journal ofScientific Computing. Vol. 24, pages 285-309, 2005.

[127] E F Toro. Conventional and derivative Riemann solvers. In Finite Volumes for Com-plex Applications IV. Problems and Perspectives. Benkhaldoun, Ouazar and Raghay(editors). Pages 101-110. Hermes Science P. London, Great Britain.

[128] E F Toro, V A Titarev and M Dumbser. Recent developments on high-order numerical methodsfor the shallow water equations. Pages 231-259, Catellon, Spain. J Castello and V Martinez(editors), 2005.

[129] E F Toro Riemann solvers with evolved initial conditions. Isaac Newton Institute forMathematical Sciences Preprint Series NI05003-NPA. University of Cambridge,UK. Available in pdf format at: http://www.newton.cam.ac.uk/preprints2005.

[130] E F Toro, V A Titarev. Derivative Riemann solvers for systems of conservation lawsand ADER methods. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI05004-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2005.

[131] C E Castro and E F Toro. A Riemann solver and upwind methods for a two-phase flowmodel in non-conservative form. Isaac Newton Institute for Mathematical SciencesPreprint Series NI05001-NPA. University of Cambridge, UK. Available in pdf for-mat at: http://www.newton.cam.ac.uk/preprints2005.

[132] C Woodley, D Finbow, V A Titarev and E F Toro. Two-Dimensional modelling of mortarinternal ballistics. Proceedings of the 22nd International Symposium on Ballistics.Pages 307-314. Vancouver, Canada, 14-18th November 2005. William Flis and Brian Scott(editors). DEStech Publications, Inc.

[133] C Woodley, S J Billett, C Lowe and E F Toro. The FHIBS Internal Ballistics Code. Proceed-ings of the 22nd International Symposium on Ballistics. Pages 322-329. Vancouver,Canada, 14-18th November 2005. William Flis and Brian Scott (editors). DEStech Publica-tions, Inc.

————————————–2004—————————–

[134] G Q Chen and E F Toro. Centered difference schemes for non-linear hyperbolic equations.Journal of Hyperbolic Equations. Vol. 1, pages 531-566, 2004.

11

[135] V A Titarev and E F Toro. Finite volume WENO schemes for three-dimensional conservationlaws. Journal of Computational Physics. Vol. 201, pages 238-260, 2004.

[136] E Romenski and E F Toro. Hyperbolicity and one-dimensional waves in compressible two-phase flow models. Shock Waves. Vol. 13, pages 473-487, 2004.

[137] E Romenski and E F Toro. Compressible two-phase flows: two-pressure models and numericalmethods. Computational Fluid Dynamics Journal. Vol. 13, pages 403-416, 2004.

[138] E F Toro. Conservative hyperbolic model for two-phase flow and one-dimensional waves.In Proceedings of the 10th International Conference on Hyperbolic Problems:Theory, Numerics, Applications. Osaka, Japan, 2004.

[139] E F Toro. MUSTA: A multi-stage numerical flux. Isaac Newton Institute for Mathe-matical Sciences Preprint Series NI04008-NPA. University of Cambridge, UK.Available in pdf format at: http://www.newton.cam.ac.uk/preprints2004.

[140] E Romenski, E Resnyanski and E F Toro. Conservative hyperbolic model for compressible two-phase flow with different phase pressures and temperatures, Isaac Newton Institute forMathematical Sciences Preprint Series NI04034-NPA. University of Cambridge,UK. Available in pdf format at: http://www.newton.cam.ac.uk/preprints2004.

[141] V A Titarev and E F Toro. MUSTA schemes for multi-dimensional hyperbolic systems: anal-ysis and improvements. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI04032-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2004.

[142] V A Titarev and E F Toro. ADER schemes for shallow water equations with pollutant trans-port. In Proceedings of the XXIX Convegno di Idraulica e Costruzioni Idrauliche.Trento, Italy, 7-10 September, 2004.. Vol. 1, pages 909-914, 2004.

————————————–2003—————————–

[143] E F Toro and A Siviglia. PRICE: primitive centred schemes for hyperbolic systems. Inter-national Journal for Numerical Methods in Fluids. Vol. 42, pages 1263-1291, 2003.

[144] M J Ivings, E F Toro and D M Webber. Numerical schemes for 2D shallow layer equationsincluding dry fronts. International Journal of Computational Fluid Dynamics. Vol.12, No 1, pages 41-52, 2003.

[145] V A Titarev and E F Toro. High order ADER schemes for scalar advection-diffusion-reactionequations. International Journal of Computational Fluid Dynamics. Vol. 12, No 1,pages 1-6, 2003.

[146] Y Takakura and E F Toro. Arbitrarily accurate non-oscillatory schemes for non-linear scalarconservation laws with source terms II. In Proceedings of the 2nd International Con-ference on Computational Fluid Dynamics. Springer-Verlag. S Armfield, P Morgan andK Srinivas (editors), pages 247-252, 2003.

[147] G Q Chen and E F Toro. Centred schemes for non-linear hyperbolic equa-tions. Isaac Newton Institute for Mathematical Sciences Preprint SeriesNI 03046-NPA. University of Cambridge, UK. In pdf format available in:http://www.newton.cam.ac.uk/preprints2003.html.

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[148] E F Toro and V A Titarev. TVD fluxes for the high-order ADER schemes.Isaac Newton Institute for Mathematical Sciences Preprint SeriesNI03011-NPA. University of Cambridge, UK. In pdf format available at:http://www.newton.cam.ac.uk/preprints2003.html.

[149] E F Toro. Multi-stage predictor-corrector fluxes for hyperbolic equations. IsaacNewton Institute for Mathematical Sciences Preprint Series NI03037-NPA. University of Cambridge, UK. Also available in pdf format at:http://www.newton.cam.ac.uk/preprints2003.html.

[150] E I Romenski and E F Toro. Shock waves in compressible two-phase flows.Isaac Newton Institute for Mathematical Sciences Preprint SeriesNI03026-NPA. University of Cambridge, UK. In pdf format available at:http://www.newton.cam.ac.uk/preprints2003.html.

[151] E I Romenski, D Zeidan, A Slaouti and E F Toro. Hyperbolic conservative model for com-pressible two-phase flow. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI03022-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2003.

[152] V A Titarev and E F Toro. ENO and WENO schemes based on upwind and centredTVD fluxes. Isaac Newton Institute for Mathematical Sciences Preprint Se-ries NI03052-NPA. University of Cambridge, UK. In pdf format available at:http://www.newton.cam.ac.uk/preprints2003.html.

[153] V A Titarev and E F Toro. Finite volume WENO schemes for three-dimensional con-servation laws. Isaac Newton Institute for Mathematical Sciences Preprint Se-ries NI03057-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2003.

[154] V A Titarev and E F Toro. ADER schemes for scalar hyperbolic conservation laws inthree space dimensions. Isaac Newton Institute for Mathematical Sciences PreprintSeries NI03063-NPA. University of Cambridge, UK. Available in pdf format at:http://www.newton.cam.ac.uk/preprints2003.

[155] R Bernetti, E F Toro and M Brocchini. An operator-splitting method for long waves. InProceedings of Long Waves Symposium. Tessaloniki, Greece. Vol. 1, pages 49-56, 2003.

[156] F De Cachard, H Deconinck, G Franchello, U Graf, A Kumbaro, S Mimouni, H Paillere,E Romenski, P Romstedt, JM Rovarche, B Smith, H Staedtke, EF Toro, B Worth. TheASTAR Project-Status and Perspective. In Proc. 10th International Topical Meetingon Nuclear Reactor Thermal Hydraulics (NURETH-10), pp 5-9, 2003.

————————————–2002—————————–

[157] E F Toro and V A Titarev. Solution of the generalised Riemann problem for advection-reaction equations. Proceedings of the Royal Society of London. Series A. Vol. 458,pages 271-281, 2002.

[158] V A Titarev and E F Toro. ADER: arbitrary high order Godunov approach. Journal ofScientific Computing. Vol. 17, pages 609-618, 2002.

[159] T Schwartzkopff, C D Munz and E F Toro. ADER: High-order approach for linear hyperbolicsystems in 2D. Journal of Scientific Computing. Vol. 17, pages 231-240, 2002.

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[160] Y Takakura and E F Toro. Arbitrarily accurate non-oscillatory schemes for a non-linearconservation law. International Journal of Computational Fluid Dynamics. Vol. 11,No 1, pages 7-18, 2002.

[161] E F Toro. Anomalies of conservative methods: analysis, numerical evidence and possiblecures. International Journal of Computational Fluid Dynamics. Vol. 11, pages 128-143, 2002.

[162] M E Vazquez-Cendon and E F Toro. Exact solution of some hyperbolic systems with sourcesterms. Proceedings of the Royal Society of London. Series A. Vol. 459, pages 263-271,2002.

[163] D Zeidan, E F Toro and A Slaouti. Numerical simulation of compressible two-phase flowmodel based on the Riemann problem. In Proceedings of the 2nd Annual EuropeanMultiphase Systems Institute Meeting and the 40th European Two-Phase FlowGroup Meeting. Stockholm. June 10-13, 2002.

[164] D Zeidan, E F Toro and A Slaouti. On the Riemann problem for a hyperbolic two-phase flowmodel. In Proceedings ACOMEN Conference. Belgium. May 28-31, 2002.

————————————–2001—————————–

[165] E F Toro. Shock-capturing methods for free-surface shallow flows. Wiley and Sons Ltd.(UK). Chichester, New York. First Edition (book, 309 pages). ISBN: 0-471-98766-2.2001.

[166] T Schwartzkopff, C S Munz, E F Toro and R C Millington. ADER-2D: a high-order approachfor linear hyperbolic systems in 2D. In Proceedings of ECCOMAS ComputationalFluid Dynamics Conference. Swansea, Wales 4-7 September, 2001.

[167] T Schwartzkopff, C D Munz, E F Toro and R C Millington. The ADER approach in 2D.In Discrete Modelling and Discrete Algorithms in Continuum Mechanics. Berlin,Germany. T Sonar (editor). Vol. 1, pages 207-216, 2001.

[168] B Zanutigh, A Lamberti and E F Toro. Exact solution of the Riemann problem for a power-law channel section. In Proceedings of ECCOMAS Computational Fluid DynamicsConference. Swansea, UK, September 4-7, 2001.

[169] B Zanutigh, A Lamberti and E F Toro. Weighted average flux method including source termsfor a power-law channel. In Proceedings of ECCOMAS Computational Fluid Dy-namics Conference. Swansea, UK, September 4-7, 2001.

[170] E F Toro and V A Titarev. Very-high order Godunov-type schemes for non-linear scalarconservation laws. In Proceedings of ECCOMAS Computational Fluid DynamicsConference. Swansea, UK, September 4-7, 2001.

[171] E F Toro and R C Millington. The ADER approach to linear advection. In Proceedings ofECCOMAS Computational Fluid Dynamics Conference. Swansea, UK, September4-7, 2001.

[172] E F Toro and V A Titarev. ADER: Towards arbitrary order non-oscillatory schemes foradvection-diffusion-reaction. Proceedings of 8th Taiwan National Conference onComputational Fluid Dynamics. Keynote Lecture. E-Land, Taiwan, August 18-20, 2001.

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[173] E F Toro, R C Millington and L A M Nejad. Towards very high-order Godunov schemes. InGodunov Methods: Theory and Applications. Edited Review. E F Toro (Editor).Kluwer Academic/Plenum Publishers. Conference in Honour of S K Godunov. Vol. 1, pages897-902. New York, Boston and London, 2001.

[174] E F Toro and M E Vazquez-Cendon. Model hyperbolic systems with source terms: exactand numerical solutions. In Godunov Methods: Theory and Applications. EditedReview. E F Toro (Editor). Kluwer Academic/Plenum Publishers. Conference in Honour ofS K Godunov. Vol. 1, pages 897-902. New York, Boston and London, 2001.

[175] W Hu and E F Toro. Centred unsplit finite volume schemes for hyperbolic conservation laws.In Godunov Methods: Theory and Applications. Edited Review. E F Toro (Editor).Kluwer Academic/Plenum Publishers. Conference in Honour of S K Godunov. Vol. 1, pages897-902. New York, Boston and London, 2001.

[176] E F Toro. (editor) Godunov Methods: Theory and Applications. Book (1077 pages) contain-ing 97 refereed articles from conference in honour of S K Godunov, University of Oxford,UK, October 1999. Kluwer Academic/Plenum Publishers. New York, Boston andLondon. 2001.

————————————–2000—————————–

[177] E F Toro and S J Billett. Centred TVD schemes for hyperbolic conservation laws. IMAJournal of Numerical Analysis. Vol. 20, pages 47-79, 2000.

[178] E F Toro. The Lax-Wendroff method. In Encyclopaedia of Mathematics. Invited Article,Supplement II. pages 301-304, 2000.

[179] E F Toro. NUMERICA: a library of source codes for teaching, research and applications.HYPER-WAT. Methods for the shallow water equations. Numeritek Limited UK. ISBN:9536483-5-4. Software. 2000.

————————————–1999—————————–

[180] E F Toro. Riemann solvers and numerical methods for fluid dynamics: A practical intro-duction. Second edition. Springer-Verlag. Berlin Heidelberg 1999. Book (624 pages).ISBN: 3-540-65966-8, 1999.

[181] E F Toro, M Olim and K Takayama. Unusual increase in tsunami wave amplitude at theOshukiri island: Mach reflection of shallow water waves. In Proceedings of 22th Inter-national Symposium on Shock Waves. G J Ball, R Hillier and G T Roberts (editors).Published by the University of Southampton, UK. Vol. 2, pages 1207-1212, 1999.

[182] E F Toro. NUMERICA: A Library of Source Codes for Teaching, Research and Applications.HYPER-EUL. Methods for the Euler equations. Numeritek Limited UK. ISBN 0-9536483-3-8. Software. 1999.

[183] E F Toro. NUMERICA: A Library of Source Codes for Teaching, Research and Applications.HYPER-LIN. Methods for model hyperbolic equations. Numeritek Limited UK. ISBN 0-9536483-0-3. Software. 1999.

————————————–1998—————————–

[184] M J Ivings, D M Causon and E F Toro. On Riemann solvers for compressible liquids. Inter-national Journal for Numerical Methods in Fluids. Vol. 28, pages 395-418, 1998.

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[185] S J Billett and E F Toro. Unsplit WAF-type schemes for three-dimensional hyperbolic con-servation laws. In Numerical Methods for Wave Propagation. Kluwer AcademicPublishers. E F Toro and J F Clarke (editors). Pages 75-124, 1998.

[186] E F Toro. Primitive, conservative and adaptive schemes for hyperbolic conservation laws.In Numerical Methods for Wave Propagation. Kluwer Academic Publishers. E FToro and J F Clarke (editors). Pages 323-385, 1998.

[187] E F Toro. Anomalies of conservative methods: the shear wave problem. In ProceedingsInternational Conference on Numerical Methods for Fluid Dynamics VI. M JBaines (editor). Pages 531-537, 1998.

[188] E F Toro, R C Millington and L A M Nejad. Primitive upwind numerical methods for hyper-bolic partial differential equations. In Sixteenth International Conference on Numeri-cal Methods for Fluid Dynamics. Lecture Notes in Physics. C H Bruneau (editor).Springer-Verlag, 1998.

[189] E F Toro and J F Clarke. Numerical methods for wave propagation. Book containing 14refereed research articles (385 pages). Kluwer Academic Publishers. London, 1998.

————————————–1997—————————–

[190] E F Toro. Riemann solvers and numerical methods for fluid dynamics: A practical introduc-tion. First edition. Springer-Verlag. Berlin Heidelberg New York 1997. Book (592pages). ISBN: 3-540-61676-4. 1997.

[191] S J Billett and E F Toro. On the accuracy and stability of explicit schemes for multi-dimensional linear homogeneous advection equations. Journal of Computational Physics.Vol. 131, pages 247-250, 1997.

[192] S J Billett and E F Toro. On WAF-type schemes for multidimensional hyperbolic conservationlaws. Journal of Computational Physics. Vol. 130, pages 1-24, 1997.

[193] E F Toro and S J Billett. A unified Riemann-problem based extension of the Warming-Beamand Lax-Wendroff schemes. IMA Journal of Numerical Analysis. Vol. 17, pages 61-102,1997.

[194] E P Boden and E F Toro. A combined CHIMERA-AMR technique for computing hyperbolicPDEs. In Proceedings of the Fifth Annual Conference of the CFD Society ofCanada. Pages 5.13-5.18, 1997.

[195] E P Boden and E F Toro. Centred TVD schemes for hyperbolic conservation laws. Tech-nical Report. MMU-9603. Department of Mathematics and Physics ManchesterMetropolitan University, UK. 1997.

[196] E F Toro. On two Glimm-related schemes for hyperbolic conservation laws. In Proceedingsof the Fifth Annual Conference of the CFD Society of Canada. Pages 3.49-3.54,1997.

[197] E F Toro. Exact and approximate Riemann solvers for the artificial compressibility equations.Technical report. MMU-9702. Department of Mathematics and Physics Manch-ester Metropolitan University. UK. 1997.

————————————–1996—————————–

[198] J Shi and E F Toro. Fully-discrete high-order shock-capturing numerical schemes. Interna-tional Journal for Numerical Methods in Fluids. Vol. 23, pages 241-269, 1996.

16

[199] J Shi and E F Toro. Fully discrete high resolution schemes for hyperbolic conservation laws.International Journal for Numerical Methods in Fluids. Vol. 23, pages 309-323, 1996.

[200] E F Toro, S J Billett and E P Boden. Advanced modelling techniques for propulsion systems.In Proceedings of Conference on Energetic Materials and Propulsion Technology.Salisbury, Australia. April 18-19, 1996.

[201] E F Toro. On Glimm-related schemes for conservation laws. Technical Report. Depart-ment of Mathematics and Physics. Manchester Metropolitan University, UK.1996.

[202] S J Billett and E F Toro. Implementing a three-dimensional finite volume WAF-type schemefor the Euler equations. In Proceedings of ECCOMAS. Vol. 96, pages 732-738. Paris,September 9-13, 1996.

[203] M J Ivings, D M Causon and E F Toro. Riemann solvers for compressible water. In Pro-ceedings of ECCOMAS. Vol. 96, pages 944-949. Paris, September 9-13, 1996.

————————————–1995—————————–

[204] L Fraccarollo and E F Toro. Experimental and numerical assessment of the shallow watermodel for two-dimensional dam-break type problems. Journal of Hydraulic Research.Vol. 33, pages 843-864, 1995.

[205] E F Toro. Direct Riemann solvers for the time dependent Euler equations. Shock Waves.Vol. 5, pages 75-80, 1995.

[206] W Speares and E F Toro. An adaptive gridding approach to the computation of reactive two-phase flows in two dimensions. In Proceedings of 19th International Symposium onShock Waves. Brun and Dumitrescu (editors). Springer, Vol. 3, pages 155-160, 1995.

[207] S J Billett and E F Toro. TVD limiter functions for multidimensional schemes. In Proceed-ings of 6th International Symposium on Computational Fluid Dynamics. LakeTahoe, Nevada, USA. September 4-8, 1995.

[208] P Batten, C Lambert, R Saunders, D M Causon and E F Toro. A temporal refinementalgorithm for unstructured mesh methods. In Proceedings of ICFD Conference on Nu-merical Methods for Fluid Dynamics. Oxford University, April 3-6, 1995.

[209] N Nikiforakis and E F Toro. Evaluation of the WAF method for kinematic and dynamicatmospheric modelling problems. In Proceedings of ICFD Conference on NumericalMethods for Fluid Dynamics. Oxford University, April 3-6, 1995.

[210] J Shi and E F Toro. A new approach for steady incompressible flows. In Proceedings of9th International Conference on Numerical Methods in Laminar and TurbulentFlow. Atlanta, USA. July 10-14, 1995.

[211] E F Toro. Some IVPs for which conservative methods fail miserably. In Proceedings of 6thInternational Symposium on Computational Fluid Dynamics. Lake Tahoe, Nevada,USA. September 4-8, 1995.

[212] E F Toro. On adaptive primitive-conservative schemes for conservation laws. In Proceedingsof 6th International Symposium on Computational Fluid Dynamics. Lake Tahoe,Nevada, USA. September 4-8, 1995.

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[213] S J Billett and E F Toro. Numerical methods for overlapping grids and moving boundaries. InProceedings of 6th International Symposium on Computational Fluid Dynamics.Lake Tahoe, Nevada, USA. September 4-8, 1995.

[214] E F Toro, W Heilig and M Jochims. A numerical and experimental study of blast wavephenomena in channels. In Proceedings of 19th International Symposium on ShockWaves. Brun and Dumitrescu (editors). Vol. 4, pages 373-377. Springer, 1995.

[215] E F Toro. Multi-dimensional WAF-type schemes for conservation laws. In Proceedings of1st Asian Computational Fluid Dynamics Conference. Vol. 1, pages 347-352. HongKong, January 16-19, 1995.

[216] C Lowe, J F Clarke and E F Toro. Numerical methods for propellant systems. In Proceedingsof 1st Asian Computational Fluid Dynamics Conference. Vol. 2, pages 541-548. HongKong, January 16-19, 1995.

[217] J Shi and E F Toro. A family of fully discrete high-order TVD methods for hyperbolic conserva-tion laws. In Proceedings of 1st Asian Computational Fluid Dynamics Conference.Vol. 3, pages 949-956. Hong Kong, January 16-19, 1995.

[218] E F Toro. MUSCL-type primitive variable schemes. Technical Report. Department ofMathematics and Physics. Manchester Metropolitan University. Manchester,UK. 1995.

————————————–1994—————————–

[219] E F Toro, M Spruce and W Speares. Restoration of the contact surface in the Harten-Lax-vanLeer Riemann solver. Shock Waves. Vol. 4, pages 25-34, 1994.

[220] A Chakraborty and E F Toro. Development of an approximate Riemann solver for the steadysupersonic Euler equations. The Aeronautical Journal. Vol. 98, pages 325-339, 1994.

[221] L. Fraccarollo and E F Toro. Experimental and numerical analysis for two-dimensional dam-break type-problems. Technical report IDR 2. Dipartimento di Ingegneria Civile edAmbientale. Universita degli Studi di Trento. Trento, Italia. 1994.

[222] K Takayama, Y Miura, M Olim, T Saito and E F Toro. Mach reflection of water waves inconjunction with tsunami at the Okushiri Island. In Proceedings of Japanese Symposiumon Shock Waves. (In Japanese), pages 487-490. January 20-22, 1994.

[223] E F Toro. Defects of conservative approaches and adaptive primitive-conservative schemesfor computing solutions to hyperbolic conservation laws. Technical report. Departmentof Mathematics and Physics. Manchester Metropolitan University. Manchester,UK. December, 1994.

————————————–1993—————————–

[224] C C Chou and E F Toro. A linearised Riemann solver for the steady supersonic Euler equa-tions. International Journal for Numerical Methods in Fluids. Vol. 16, pages 173-186,1993.

[225] J F Clarke, S Karni, J J Quirk, L G Simmons, P L Roe and E F Toro. Numerical com-putation of two-dimensional, unsteady detonation waves in high energy solids. Journal ofComputational Physics. Vol. 106, pages 215-233, 1993.

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[226] L Fraccarollo and E F Toro. A shock-capturing computational method for two-dimensionaldam break type problems. In Proceedings of the 5th International Symposium onComputational Fluid Dynamics. Published by the Japan Society of Computa-tional Fluid Dynamics. Daiguji (Editor). Pages 178-183, 1993.

[227] E F Toro and S J Billett. A unified Riemann-problem based extension of the Warming-Beamand Lax-Wendroff schemes. In Proceedings of the 5th International Symposium onComputational Fluid Dynamics. Published by the Japan Society of Computa-tional Fluid Dynamics. Daiguji (Editor). Pages 243-248, 1993.

[228] E F Toro and S J Billett. A unified extension of the Warming-Beam and Lax-Wendroffschemes. Technical report CoA 9302. Department of Aerospace Science, Collegeof Aeronautics, Cranfield Institute of Technology. UK. February, 1993.

[229] E F Toro. Riemann solvers: Linearisations and adaptation. In Numerical Methods forFluid Dynamics IV. Oxford University Press. M J Baines and K W Morton (Editors).Pages 373-382, 1993.

[230] E F Toro. Multi-dimensional WAF-type schemes for model conservation laws. Technicalreport CoA 9312. Department of Aerospace Science, College of Aeronautics,Cranfield Institute of Technology. UK. 1993.

[231] J Shi and E F Toro. Fully discrete arbitrary-order schemes for a model hyperbolic conservationlaw. Technical report CoA 9308. Department of Aerospace Science, College ofAeronautics, Cranfield Institute of Technology. UK. August, 1993.

[232] J Shi and E F Toro. Fully discrete high-order TVD schemes for a scalar hyperbolic conserva-tion law. Technical report CoA 9307. Department of Aerospace Science, Collegeof Aeronautics, Cranfield Institute of Technology. UK. August, 1993.

————————————–1992—————————–

[233] E F Toro. Riemann problems and the WAF method for solving the two dimensional shallowwater equations. Philosophical Transactions of the Royal Society of London SeriesA: Physical Sciences and Engineering. Vol. 338, pages 43-68, 1992.

[234] E F Toro. The Weighted Average Flux method applied to the Euler equations. PhilosophicalTransactions of the Royal Society of London Series A: Physical Sciences andEngineering. Vol. 341, pages 499-530, 1992.

[235] E F Toro and R E Brown. The WAF method and splitting procedures for viscous, shockedflows. In Proceedings of the 18th International Symposium on Shock Waves. TohokuUniversity, Sendai, Japan. Springer-Verlag. K Takayama (Editor). Vol. 2, pages 1119-1126,1992.

[236] E F Toro. Riemann-solver adaptation for gas dynamics. In Proceedings of the 10th Inter-national Conference on Computing Methods in Applied Sciences and Engineer-ing. Paris, France. February 11th to 14th, 1992. Glowinski (Editor), Nova Science PublishersInc. New York. Pages 489-500. 1992.

[237] E F Toro, J Orozco, N Hill and C C Chou. Riemann solver adaptation for the steady super-sonic Euler equations. In Proceedings of the First European Computational FluidDynamics Conference. Elsevier Science Publishers. Brussels, September 7th to 11th,1992, Hirsch, Periaux and Kordulla (Editors). Vol. 2, pages 719-726. 1992.

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[238] G Watson, D H Peregrine and E F Toro. Numerical solution of the shallow water equations ona beach using the Weighted Average Flux method. In Proceedings of the First EuropeanComputational Fluid Dynamics Conference. Elsevier Science Publishers. Brussels,September 7th to 11th, 1992, Hirsch, Periaux and Kordulla (Editors). Vol. 1, pages 495-502.1992.

[239] W Speares and E F Toro. A high-resolution approach to multiphase reactive flows in twodimensions. In Proceedings of the First European Computational Fluid DynamicsConference. Elsevier Science Publishers. Brussels, September 7th to 11th, 1992, Hirsch,Periaux and Kordulla (Editors). Vol. 1, pages 565-572, 1992.

[240] E F Toro. Viscous flux limiters. In Notes on Numerical Fluid Mechanics. Vieweg. Vos,Rizzi and Rhyming (Editors). Vol. 35, pages 592-600. 1992

[241] E F Toro and S J Billett. Restoring monotonicity of slowly-moving shocks computed withGodunov-type schemes. Technical report CoA 9207. Department of Aerospace Sci-ence, College of Aeronautics, Cranfield Institute of Technology. UK. March 1992.

[242] E F Toro. Approximate Riemann solvers for one-dimensional magneto-gasdynamics. Techni-cal report CoA 9206. Department of Aerospace Science, College of Aeronautics,Cranfield Institute of Technology. UK. March, 1992.

[243] E F Toro. Direct Riemann solvers for one-dimensional non-equilibrium hypersonic flows.Technical report XXX. Department of Aerospace Science, College of Aeronautics,Cranfield Institute of Technology. UK. May 1992.

[244] E F Toro and D T Elsworth. A numerical investigation of the artificial compressibility methodfor the solution of the Navier-Stokes equations. Technical report CoA 9213. Departmentof Aerospace Science, College of Aeronautics, Cranfield Institute of Technology.UK. June 1992.

[245] E F Toro and D T Elsworth. Riemann solvers for solving the incompressible Navier-Stokesequations using the artificial compressibility method. Technical report CoA 9208. De-partment of Aerospace Science, College of Aeronautics, Cranfield Institute ofTechnology. UK. June, 1992.

[246] E F Toro, M Spruce and W Speares. Restoration of the contact surface in the HLL Riemannsolver. Technical report CoA 9204. Department of Aerospace Science, College ofAeronautics, Cranfield Institute of Technology. UK. June, 1992.

————————————–1991—————————–

[247] E F Toro. A linearised Riemann solver for the time-dependent Euler equations of gas dynam-ics. Proceedings of the Royal Society of London. Series A. Vol. 434, pages 683-693,1991.

[248] E F Toro. Numerical dissipation functions based on artificial and physical dissipation. Tech-nical report CoA 9103. Department of Aerospace Science, College of Aeronautics,Cranfield Institute of Technology. UK. February, 1991.

[249] E F Toro. Some aspects of shock-capturing methods for gas dynamics. Technical reportCoA 9112. Department of Aerospace Science, College of Aeronautics, CranfieldInstitute of Technology. UK. August, 1991.

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[250] E F Toro. A linearised Riemann solver for Godunov-type methods. Technical report. Re-port CoA 9116. Department of Aerospace Science, College of Aeronautics, Cran-field Institute of Technology. UK. September, 1991.

[251] E F Toro. Viscous flux limiters. Technical report CoA 9115. Department of AerospaceScience, College of Aeronautics, Cranfield Institute of Technology. UK. August,1991.

————————————–1990—————————–

[252] E F Toro. Applications of the Weighted Average Flux method to the shallow water equations.In Proceedings of the 3rd International Conference on Hyperbolic Problems. Up-psala, Sweden, June 1990. Engquist and Gustafsson (Editors). Volume 2, pages 874-887,1990.

[253] E F Toro. Numerical solution of the Euler equations by the Weighted Average Flux method:Part I. Technical report CoA 9001. Department of Aerospace Science, College ofAeronautics, Cranfield Institute of Technology. UK. March 1990.

[254] E F Toro. Non-iterative, non-linear Riemann solvers for the shallow water equations. Tech-nical report CoA 9015. Department of Aerospace Science, College of Aeronautics,Cranfield Institute of Technology. UK. August 1990.

[255] E F Toro. Riemann problems and the WAF method for the two-dimensional shallow waterequations. Technical report CoA 9005. Department of Aerospace Science, Collegeof Aeronautics, Cranfield Institute of Technology. UK. 1990

[256] E F Toro. Riemann problems and the WAF method for the two-dimensional shallow waterequations. Technical report UTM 314. Dipartimento di Matematica, Universitadegli Studi di Trento, Italia. 1990.

[257] E F Toro. The dry-bed problem in shallow-water flows. Technical report. CoA 9007.Department of Aerospace Science, College of Aeronautics, Cranfield Institute ofTechnology. UK. 1990.

[258] V Casulli and E F Toro. Preliminary results on a semi-lagrangian extension of the WAFmethod. Technical report CoA 9018. Department of Aerospace Science, College ofAeronautics, Cranfield Institute of Technology. UK. 1990.

————————————–1989—————————–

[259] E F Toro. A fast Riemann solver with constant covolume applied to the random choice method.International Journal for Numerical Methods in Fluids. Vol. 9, pages 1145-1164, 1989.

[260] E F Toro. A CFL condition for characteristic-based methods. Applied Mathematics Let-ters. Vol. 2, pages 57-60, 1989.

[261] E F Toro. A Weighted Average Flux method for hyperbolic conservation laws. Proceedingsof the Royal Society of London. Series A. Mathematical and Physical Sciences.Vol. 423, pages 401-418, 1989.

[262] E F Toro, A B Crawley A D Fitt and J A Ashton. Contrasting numerical methods for two-dimensional two-phase internal ballistics test problems. Proceedings of the 11th Interna-tional Symposium on Ballistics. Brussels, Belgium, May 1989.

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[263] E F Toro. A numerical technique for reactive two-phase flows with strong shocks. Proceed-ings of the 17th International Symposium on Shock Tubes and Waves. LehighUniversity, USA, July 19th to 21st, 1989.

[264] E F Toro. Riemann-problem based techniques for computing reactive two-phase flows. LectureNotes in Physics. Numerical Combustion. Springer-Verlag. Vol. 351, pages 472-481.Dervieux and Larrouturrou (Editors), 1989.

[265] E F Toro. TVD regions for the weighted average flux (WAF) method as applied to a modelhyperbolic conservation law. Technical report CoA 8907. Department of AerospaceScience, College of Aeronautics, Cranfield Institute of Technology. UK. June, 1989.

[266] E F Toro. Random choice based hybrid schemes for one and two-dimensional gas dynamics.Notes on Numerical Fluid Mechanics. Vol. 24, pages 630-639. Vieweg, Braunschweig.

[267] E F Toro and P L Roe. A hybrid scheme for the Euler equations using the random choice andRoe’s methods. Numerical Methods for Fluid Dynamics III. The Institute of Mathe-matics and its Applications Conference Series. Vol. 17, pages 391-402. K W Morton and MBaines (Editors). 1989.

————————————–1988—————————–

[268] E F Toro. Random choice-based hybrid methods for one and two dimensional gas dynamics.Technical report CoA 8801. Department of Aerospace Science, College of Aero-nautics, Cranfield Institute of Technology. UK. January, 1988.

[269] E F Toro and L G Simmonds. Development of numerical techniques for computing detona-tions in solids modelled by the reactive Euler equations. Technical report CoA NFP8801.College of Aeronautics, Cranfield Institute of Technology. UK. January, 1988.

[270] E F Toro. Riemann problems associated with two-phase flows: Part I. Technical reportCoA 8815. College of Aeronautics, Cranfield Institute of Technology. UK. January,1988.

————————————–1987—————————–

[271] E F Toro. Towards two-dimensional high-resolution codes for interior ballistics. In Proceed-ings of the Anglo-German Data Exchange Conference. Fort Halstead, UK. July, 1987.

[272] E F Toro and P L Roe. A hybridised higher-order random choice method for quasi-linearhyperbolic systems. In Proceedings of the 16th International Symposium on ShockTubes and Waves. Aachen, Germany, July, 1987. Pages 701-708. Groenig (Editor), 1987.

[273] E F Toro and J F Clarke. On the flow produced by massive gasification in a tube. In Proceed-ings of the 16th International Symposium on Shock Tubes and Waves. Aachen,Germany, July, 1987. Pages 701-708, 1987.

[274] E F Toro. The random choice method on a non-staggered grid utilising an efficient Riemannsolver. Technical report CoA 8708. College of Aeronautics, Cranfield Institute ofTechnology. UK. May, 1987.

[275] E F Toro. A fast Riemann solver with constant covolume applied to the random choice method.Technical report CoA 8719. College of Aeronautics, Cranfield Institute of Tech-nology. UK. October, 1987.

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[276] E F Toro, J F Clarke, P L Roe and L G Simmonds. Numerical studies of a detonationanalogue. Paper presented at the First Detonics Meeting, Shrivenham. UK. September23rd to 24th, 1987.

————————————–1986—————————–

[277] J F Clarke, P L Roe, L G Simmonds and E F Toro. Numerical studies of a detonationanalogue. Technical report CoA NFP86/26. College of Aeronautics, Cranfield In-stitute of Technology. UK. November, 1986.

[278] E F Toro and M J O’Carroll. Transition bifurcation branches in non-linear water waves.International Journal for Numerical Methods in Fluids. Vol. 6, pages 219-228, 1986.

[279] E F Toro. Mesh effects on the computation of non-linear gravity waves of arbitrary discharge.International Journal for Numerical Methods in Fluids. Vol. 6, No. 7, pages 479-494,1986.

[280] E F Toro. Numerical studies of interior ballistic behaviour. In Proceedings of the Anglo-German Data Exchange Conference. Nuremberg, W. Germany, June 2nd to 6th, 1986.

[281] E F Toro. A new numerical technique for quasi-linear hyperbolic systems of conservationlaws. Technical report CoA 8626. College of Aeronautics, Cranfield Institute ofTechnology. UK. December, 1986.

————————————–1985—————————–

[282] E F Toro and M J O’Carroll. Mesh effects on the computation of small amplitude water waves.International Journal for Numerical Methods in Fluids. Vol. 5, No. 6, 1985.

[283] E F Toro. Numerical simulation of early-phase propellant burning. In Proceedings of theAnglo-German Data Exchange Conference. Fort Halstead, UK. June, 1985.

[284] E F Toro and J F Clarke. Flows generated by burning of solid propellants. Lecture Notes inPhysics. Springer-Verlag. Glowinski, Larrouturou and Teman (Editors). Vol. 241, pages192-205, 1985.

[285] E F Toro. Mesh effects on the computation of non-linear gravity waves of arbitrary discharge.Technical report CoA 8501. College of Aeronautics, Cranfield Institute of Tech-nology. UK. 1985.

[286] E F Toro. Notes on the random choice method. Technical report CoA NFP85/6. Collegeof Aeronautics, Cranfield Institute of Technology. UK. 1985.

[287] E F Toro and J F Clarke. Application of the random choice method to computing problems ofsolid propellant combustion in a closed vessel. Technical report CoA NFP85/16. Collegeof Aeronautics, Cranfield Institute of Technology. UK. October, 1985.

[288] E F Toro. Roe’s method in gas dynamical problems associated with the combustion of high-energy solids in a closed tube. Technical report. CoA NFP86/18. College of Aeronau-tics, Cranfield Institute of Technology. UK. March, 1985.

————————————–1984—————————–

[289] M J O’Carroll and E F Toro. Numerical computations of critical flow over a weir. Interna-tional Journal for Numerical Methods in Fluids. Vol. 4, No. 6, pages 499-509, 1984.

[290] E F Toro and M J O’Carroll. A simple variational approximation of shallow water type.Applied Mathematical Modelling. Vol. 8, pages 261-264, 1984.

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[291] E F Toro and M J O’Carroll. A Kantorovich computational method for free surface gravityflows. International Journal for Numerical Methods in Fluids. Vol. 4, No. 12, 1984.

[292] E F Toro and M J O’Carroll. Types of stationary points in a variational formulation of shallowwater flows. Journal of Engineering Mathematics. Vol. 18, pages 195-205, 1984.

[293] E F Toro. Transition bifurcation branches in non-linear water waves. Technical report CoA8414. College of Aeronautics, Cranfield Institute of Technology. UK. 1984.

[294] E F Toro and J F Clarke. The flow created by rapid gasification in an enclosed space. Tech-nical report CoA NFP84/11. College of Aeronautics, Cranfield Institute of Tech-nology. UK. June, 1984.

————————————–1982—————————–

[295] E F Toro. Finite element computation of free surface problems. PhD Thesis. Mathemat-ics Department, Teesside Polytechnic, Middlesbrough, UK. Supervisor: Prof. M JO’Carroll. April, 1982.

————————————–1981—————————–

[296] E F Toro and M J O’Carroll. On the nature of the stationary point in finite element deter-mination of open channel flows. In Proceedings of the International Conference onNumerical Methods in Laminar and Turbulent Flows. Venice, Italy, July, 1981. Pages1111-1118, 1981.

[297] E F Toro On the nature of solutions of two-dimensional open channel flows. Technicalreport. TMPR 81-1. Department of Mathematics, Teesside Polytechnic, Mid-dlesbrough, UK. 1981.

————————————–1980—————————–

[298] E F Toro. Two-dimensional open channel flows, II. Technical report. TPMR 80-87.Department of Mathematics, Teesside Polytechnic, Middlesbrough, UK. 1980.

————————————–1979—————————–

[299] E F Toro. Two-dimensional open channel flows, I. Technical report. TPMR 79-8. De-partment of Mathematics, Teesside Polytechnic, Middlesbrough, UK. 1979

————————————–1978—————————–

[300] E F Toro. On the support of solutions to a class of non-linear parabolic equations. MastersThesis. Department of Mathematics, University of Dundee, UK. Supervisor: Prof.B D Sleemann, FRSE. September, 1978.

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