NUMERICAL ANALYSIS

AND APPLIED MATHEMATICS

ICNAAM 2012

International Conference of Numerical Analysis and Applied Mathematics

Kos, Greece 19-25 September 2012

Volume B

EDITOR

Theodore E. SimosEuropean Society of Computational Methods in Sciences, Engineering, and Technology (ESCMSET),

European Academy of Sciences; European Academy of Sciences and Arts

European Academy of Arts, Sciences and Literature; King Saud University, Saudi Arabia

University of Peloponnese. Greece

CO-EDITORS

George PsihoyiosEuropean Society of Computational Methods in Sciences, Engineering, and Technology (ESCMSET);

Fellow of the IMA; Greece

Ch.Tsitouras

Technological Educational Institute ofChalkis, Greece

Zacharias AnastassiSchool of Pedagogical & Technological Education (ASPETE), Athens, Greece

All papers have been peer reviewed.

SPONSORING ORGANIZATIONS

European Society of Computational Methods in Sciences, Engineering and Technology (ESCMSET)The R, M. Santilli Foundation

AlPAmerican institute Melville' NeW Y°'k'2

of Physics AlP I CONFERENCE PROCEEDINGS 1479

VOLUME B

Preface of the "Symposium on structure-preserving numerical methods for differential

equations"

Elena Cclledoni and Takayasu Matsuo 1259

An alternating discrete variational derivative method

T. Matsuo and H. Kuramae 1260

A new technique to design numerical schemes with weak nonlinearity based on discrete

variational derivative method

Daisuke Furihata 1264

xxviii

Energy conservative/dissipative //'-Galerkin semi-discretizations for partial differential

equations

Yuto Miyatakc and Takayasu Matsuo 1268

Energy-preserving sine collocation method tor Klein-Gordon-Schrodingcr equations

Jingjing Zhang 1272

Comparison of two equivalent multisymplectic numerical methods for nonlinear wave equationsYao Chen, Hui Duan, and Yajuan Sun 1276

Solvability of the central box scheme for a kind of nonlinear partial differential equationsJialin Hong, Xiuling Yin, and Choi Sim 1280

Conservative properties analysis of multi-symplectic integrator for the Schrodinger equationwith wave operator

Linghua Kong, Lan Wang, Xiuling Yin, and Yali Duan 1283

Application of the Lagrangian approach of the discrete gradient method to scleronomic

holonomic systems

Takaharu Yaguchi 1287

A new approach to construct Runge-Kutta type methods and geometric numerical integrators

Wcnshcng Tang and Yajuan Sun 1291

On an integrable discretisation of the Lotka-Volterra system

Yang He and Yajuan Sun 1295

On conservative discretization of the Kepler problemRoman Kozlov 1299

Preface of the "Symposium on biomathematics VI"

Maira Aguiar, Nico Stollenwerk, and Ezio Vcnturino 1303

Describing dengue epidemics: Insights from simple mechanistic models

Maira Aguiar, Nico Stollenwerk, and Bob W. Kooi 1307

A meta-epidemic model with steady state demographics and migrations saturation

Veronica Aimar, Sara Borlengo, Silvia Motto, and Ezio Venturino 1311

A model for which toxic and non-toxic phytoplankton are indistinguishable by the zooplantkon

Moitri Sen and Ezio Venturino 1315

Understanding the effect of vector dynamics in epidemic models using center manifold analysisFilipe Rocha, Maira Aguiar, Max Souza, and Nico Stollenwerk 1319

xxix

Modelling targets for anticancer drug control optimization in physiologically structured cell

population models

Frederique Billy, Jean Clairambault, Olivier Fercoq, Tommaso Lorenzi, Alexander Lorz,

and Bcnoit Perthame 1323

Parameter estimation and model comparison for stochastic epidemiological processes in a

Baycsian framework

Luis Mateus, Nieo StoHcnwerk, and Jean Claude Zambrini 1327

Evolution of N-species Kimura/voter models towards criticality, a surrogate for general models

of accidental pathogens

Pcyman Ghaffari and Nico StoHcnwerk 1331

Landmark-based image registration using Gneiting's compactly supported functions

Roberto Cavoretto and Alcssandra De Rossi 1335

Applications of fractional calculus to epidemiological models

Urszula Skwara, Jose Martins, Peyman Ghaffari, Maira Aguiar, Joao Boto, and Nieo StoHcnwerk 1339

A viability analysis for a stock/price model

Chakib Jerry and Nadia Raissi 1343

Preface of the "Mini symposium on symmetry methods and applications for differential

equations"

Maria Luz Gandarias, Maria Santos Bruzon, Mariano Torrisi, and Rita Tracina 1350

Symmetry properties and reduction procedures for ODE's

Giampaolo Cicogna 1352

Classical Lie point symmetry analysis and exact solutions for the two-dimensional fin problemRaseclo Joel Moitsheki 1354

Nonlinear self-adjointness of a class of generalized diffusion equationsRita Tracina 1358

Symmetries and nonlinear self-adjointness for a generalized fisher equationM. L. Gandarias, M. S. Bruzon, and M. Rosa 1361

Symmetry reductions for a generalized Dullin-Gottwald-Holm equationM. S. Bruzon, M. L. Gandarias, J. C. Camacho, and J. Ramirez 1365

Alternative sets of multisoliton solutions of some integrable KdV type equations via direct

methods

Georgy I. Burde 1369

xxx

On a model for Aedes Aegypti

I. L. Freire and M. Torrisi 1373

Preface of" the "Symposium on the numerical solution of differential equations and their

applications"

Z. Anastassi, Z. Kalogiratou, and Th. Monovasilis 1377

Adaptive solution of the biharmonic problem with shortly supported cubic spline-wavelets

Dana Ccrna and Vaclav Finek 1379

Stability analysis for spatial attrition with n forces

Eduardo Gonzalez and Marcelo J. Villena 1383

Diagonally implicit symplectic Runge-Kutta methods with special propertiesZ. Kalogiratou, Th. Monovasilis, and T. E. Simos 1387

Multi-dimensional linear stability analysis of S-ROCK methods for Ito stochastic differential

equations

Yoshio Komori and Kevin Burrage 1391

Exponentially fitted symplectic Runge-Kutta-Nystrom methods

Th. Monovasilis, Z. Kalogiratou, and T. E. Simos 1395

A Runge-Kutta method with zero phase-lag and derivatives for the numerical solution of orbital

problems

D. F. Papadopoulos and T. E. Simos 1399

Spectral method for pricing options in illiquid markets

Edson Pindza and Kailash C. Patidar 1403

Deriving numerical techniques with zero phase-lag and derivatives for initial value problems of

second order

D. F. Papadopoulos, O. T. Kosmas, and T. E. Simos 1407

Preface of the "Symposium on fractional calculus and applications"Manuel D. Ortigueira 1411

Difference fractional linear initial value problems

Dorota Mozyrska 1412

Two-sided discrete fractional derivatives and systems

Manuel D. Ortigueira 1416

xxxi

Preface of the "Symposium on dynamics of complex systems & networks: Modelling,

computational analysis and control"

Constantinos L Siettos 1420

Stopping times in cessation flows of Bingham plastics with slip at the wall

Maria Philippou, Yiolanda Damianou, George Kaoullas, and Georgios C. Georgiou 1422

Low k-shells identify bridge elements critical to disease flow in small-world networks

A. I. Reppas and G. Lawyer 1426

Systematic bifurcation analysis of a planar diffusion flame model with radiative heat losses

Michail E. Kavousanakis, Lucia Russo, Francesco Saverio Marra, and Constantinos Siettos 1430

Randomness switches the dynamics in a biophysical model for Parkinson Disease

Konstantinos G. Spiliotis, Hari Radhakrishnan, and George C. Georgiou 1434

A computational approach for approximating center manifolds of black-box simulators

Constantinos I. Siettos 1438

Preface of the "Symposium on linearization of control systems: New developmentand applications"

Issa Amadou Tall 1442

Partial feedback linearization of control systems

Issa Amadou Tall 1443

Feedback linearization of impulsive nonlinear control systems

L. Menini and A. Tornambe 1447

Bilinear control systems with forced integrable nitration

Basile Graf and Philippe Mullhaupt 1450

Local transverse feedback linearization with partial information for single-input systemsChristopher Nielsen and Manfredi Maggiorc 1454

Numerical algorithm for feedback linearizable systems

S. S. Willson, Philippe Mullhaupt, and Dominique Bonvin 1458

Preface of the "Symposium on fractal geometry, quantization dimension and related topics"Mrinal K. Roychowdhury 1462

Commute times of random walks on trees

Mokhtar Konsowa 1463

Cubic hermite and cubic spline fractal interpolation functions

A. K. B. Chand and P. Viswanathan 1467

xxxii

Preface of the "Symposium on analysis of wave-induced response and instability of seabed"

M. B. Can Olker 1471

Three-dimensional model for wave-induced dynamic pore pressure around monopile foundation

Ji-Sheng Zhang, Chi Zhang, and Dong-Sheng Jeng 1472

Dynamic soil response of poroelastic seabed to nonlinear water waves and uniform currents

C. C. Liao and D.-S. Jcng 1476

Dynamic pore pressure response of two-layer seabed under nonlinear waves

M. B. Can Olker 1480

Instantaneous liquefaction in a multi-layer seabed under nonlinear progressive waves

M. B. Can Olker 1484

Preface of the symposium: Numerical solutions to problems in matrix operationsIra J. Walker 1488

Matrix singular value decomposition to a linear combination of rank one partial isometries

Pctero Kwizera 1489

Preface of the "Workshop on computational intelligence and cyber security"

Jiankun Hu and Frank Jiang 1492

A cancellable and fuzzy fingerprint scheme for mobile computing security

Wencheng Yang, Kai Xi, and Cai Li 1494

Double layer secure sketch

Cai Li 1500

The application of extreme learning machines to the network intrusion detection problemGideon Creech and Frank Jiang 1506

Email user ranking based on email networks

Quang Anh Tran, Minn Tuan Vu, Michael Frater, and Frank Jiang 1512

Semantics based multi-layered networks for spam email detection

Gideon Creech and Frank Jiang 1518

Comparative study of key exchange and authentication methods in application, transport

and network level security mechanisms

Iraj Fathirad, John Devlin, and Frank Jiang 1524

A comparison of two IPv4/IPv6 transition mechanisms - OpenVPN and IVI

Cong Tuan Vu, Quang Anh Tran, and Frank Jiang 1532

xxxiii

Preface of the "Symposium on statistical analyses of gene expression and transcriptional

regulation"Liaofu Luo 1539

A proposal on quantum histone modification in gene expression

Liaofu Luo 1541

Distance conservation of transcriptional and splicing regulatory motifs

Jun Lu and Changjiang Ding 1545

Recognition of protein phosphorylation site based on amino acids sequence features

Ying Zhang, Changjiang Ding, and Jun Lu 1549

The relationship between gene transcription and combinations of histone modifications

Xiangjun Cui, Hong Li, and Liaofu Luo 1553

Recombination spots prediction using DNA physical properties in the saccharomyces cerevisiae

genome

Shou-Hui Guo, Li-Qin Xu, Wei Chen, Guo-Qing Liu, and Hao Lin 1556

Relationship of ORF length and mRNA degradation in Escherichia coli genome

Mengwen Jia and Yong Zhan 1560

Influence of intron length on interaction characters between post-spliced intron and its CDS in

ribosomal protein genes

Xiaoqing Zhao, Hong Li, Tonglaga Bao, and Zhiqiang Ying 1564

Preface of the "Symposium on integrated computational tools for advanced manufacturing"NunoAlves 1568

Optimalmould-part I: Multi-objective optimization to moulds design for injection ofpolymersCarina Ramos, Pedro Carreira, Paulo Bartolo, and Nuno Alves 1569

Optimalmould - part II: Global optimization of the injection moulding cycle time

Carina Ramos, Pedro Carreira, Paulo Bartolo, and Nuno Alves 1574

Thermo-kinetic curing model for stereolithographic applicationsPaulo Bartolo 1579

Computational fluid dynamics of reaction injection mouldingArtur Mateus, Geoffrey Mitchell, and Paulo Bartolo 1584

xxxiv

Maximizing the placement of congruent polyhedrain a parallelepiped container

M. Belbut Gaspar and N. Martins-Ferreira 1588

Advanced engineering tools for design and fabrication of a custom nasal prosthesisInes Oliveira, Nuno Leal, Pedro Silva, A. da Costa Ferreira, Rui J. Neto, F. Jorge Lino,

and Ana Reis 1592

Custom hip prostheses by integrating CAD and casting technologyPedro F. Silva, Nuno Leal, Rui J. Neto, F. Jorge Lino, and Ana Reis 1596

Damage prediction in incremental forming by using Lemaitre damage model

Shenghua Wu, Ana Reis, Pedro Teixeira, A. Barata da Rocha, and Jorge Lino 1600

Preface of the "Symposium on numerical analysis of irreversible deformation, micro- and

macro- fracture of isotropic and anisotropic materials under shock loading conditions"

Alexander A. Lukyanov and Evgeny Romenski 1606

Modelling the shock response of a damageable anisotropic composite material

Alexander A. Lukyanov 1607

Parallel program systems for modeling elastic-plastic waves in structurally inhomogeneous

materials

Vladimir M. Sadovskii and Oxana V. Sadovskaya 1611

Preface of the symposium on state of the art of modeling and numerical analysis for design,

determining the performances and controls of wind turbines

Alcxandru Dumitrache and Florin Frunzulica 1615

Simulation and experiment of a fuzzy logic based MPPT controller for a small wind turbine

system

Diana Petrila and Nicolae Muntean 1619

Unsteady computational simulation for active aerodynamic control of a horizontal axis wind

turbine

A. Bobonea 1623

Physical mechanism of rotational stall for HAWTs

H. Dumitrescu, F. Frunzulica, and V. Cardos 1627

Modeling stall-delay using corrected BEM

F. Frunzulica, H. Dumitrescu, and V. Cardos 1631

A free wake method for performance prediction of VAWT

S. 11 in, H. Dumitrescu, V. Cardos, and A. Dumitrache 1635

xxxv

An aeroelastic model for horizontal axis wind turbines

A. Dumitrache and H. Dumitrescu 1639

A complementary review ofmaximum power point tracking methods for wind generators

Aurelian Craciuncscu, Claudia Popescu, and Mihai Popescu 1643

Design, analysis and testing of small, affordable HAWT rotors

Mihai V. Pricop, Mihai L. Niculescu, Marius G. Cqjocaru, and Dorin Barsan 1646

Preface of the "Symposium on geometry of Kenmotsu manifolds and their submanifolds"

SibelSular 1650

Geometry of lightlike hypersurfaces of an indefinite cosymplectic manifolds

Ram Shankar Gupta 1651

Preface of the "Symposium on statistical inference in linear models"

Francisco Carvalho 1655

Commutative orthogonal block structure: Orthogonal features

Francisco Carvalho, Joao T. Mexia, and Ricardo Covas 1656

Statistical coupling between winter cold days / warm nights in Europe and the underlying

atmospheric flow

Cristina Andrade and J. A. Santos 1661

Models of symmetric stochastic matrices

Cristina Dias, Manuela Olivcira, and Joao T. Mexia J 666

Transversal analysis in matched series of studies

Anibal Areia and Manuela M. Oliveira 1670

Joining models with stair nestingCelia Fernandes and Paulo Ramos 1674

One-way random effects ANOVA: An extension to samples with random size

Celia Nunes, Dario Ferreira, Sandra S. Ferreira, Manuela M. Oliveira, and Joao T. Mexia 1678

Confidence regions for variance components using inducing pivot variables

Dario Ferreira, Sandra S. Ferreira, and Celia Nunes 1682

Discriminant analysis in models with structured mean and covariance

M. Fonseca and Anuradha Roy 1686

Study of the interactions in a three-way crossed classification model

Paulo Ramos and Celia Fernandes 1690

xxxvi

Linear and quadratic sufficiency and commutativity

Sandra S. Fcrreira, Dario Ferreira, and Celia Nunes 1694

Structured families of stochastic symmetric matrices

Dina Salvador, Sandra Monteiro, and J. Tiago Mexia 1698

Binary operations on Jordan algebras: An application to statistical inference in linear models

Ricardo Covas, Roman Zmyslony, and Francisco Carvalho 1701

Inference for the interclass correlation in familial data using small sample asymptotics

M. Fonseca, Thomas Mathew, and Roman Zmyslony 1704

Preface of the "Symposium on BE-SMART- biometry and extremes: Statistical modelling and R

techniques"

Teresa A. Oliveira 1707

A non-parametric double-bootstrap method for an adaptive MOP EVI-estimation

M. Fatima Brilhante, M. Ivette Gomes, and Dinis D. Pestana 1708

How bootstrap can help in forecasting time series with more than one seasonal pattern

Clara Cordeiro and M. Manucla Neves 1712

Two-way MANCOVA: An application to public health

M. R. Ramos, E. Carolino, T. Oliveira, and M. Bicho 1716

Joint regression analysis and AMMI model applied to oat improvementA. Oliveira, T. A. Oliveira, and S. Mejza 1720

A statistical model for the demand of undergraduate engineering courses in Portugal: A first

study of Bologna Process impact

Raquel Oliveira, A. Manuela Goncalvcs, and Rosa M. Vasconcelos 1724

Tucker3 method in biometrical research: Analysis of experiments with three factors, using R

Lucio B. de Araiijo, Manuela M Oliveira, Carlos Tadeu dos S. Dias, Amilcar Oliveira, and Teresa

A. Oliveira 1728

Preface of the "1st symposium on numerical methods of boundary value problems (BVPs):

Analysis, algorithms and real world applications"

Suheil A. Khoury and Ali Sayfy 1732

A fourth-order spline collocation approach for the numerical solution of a generalized system of

second-order boundary-value problems

Ali Sayfy and S. Khoury 1734

xxxvii

A fourth-order adaptive collocation approach for the solution of generalized Emden-Fowler type

equations

S. Khoury and Ali Sayfy 1739

On total variation flows with H1penalty

Thomas Wunderli 1744

Longitudinally cracked orthotopic strip with hinged boundaries

Elcin Yusufoglu and ilkem Turhan 1747

Preface of the "Symposium on numerical methods for stochastic differential equations and their

applications"

Shanshan Jiang, Lijin Wang, and Jingjing Zhang 1751

Stochastic multi-symplectic wavelet collocation method for stochastic Hamiltonian Maxwell's

equationsJialin Hong and Lihai Ji 1753

Stochastic multisymplectic integrator for stochastic KdV equation

Shanshan Jiang, Lijin Wang, and Jialin Hong 1757

The third kind of generating functions of stochastic symplectic integrators

Lijin Wang and Tong Zhao 1761

A class of numerical methods with one parameter for backward stochastic differential equations

Dongsheng Xu, Peng Wang, and Xiuling Yin 1765

The well-posedness of a special partial differential equationJialin Hong and Xiuling Yin 1769

A new symplectic method for a linear stochastic oscillator via stochastic variational integrators

Jingjing Zhang and Lijin Wang 1772

Preface of the "Minisymposium on mathematical modeling in hydrology"Lucio Ubertini 1776

LBM method for roughness effect in open channel flows

S. Di Francesco, G. Falcucci, C. Biscarini, and P. Manciola 1777

An entropy method for floodplain monitoring network designE. Ridolfi, K. Yan, L. Alfonso, G. Di Baldassarre, F. Napolitano, F. Russo, and Paul D. Bates 1780

Assessment of an adjustment factor to model radar range dependent error

S. Sebastianelli, F. Russo, F. Napolitano, and L. Baldini 1784

xxxviii

Empirical solution of Green-Ampt equation using soil conservation service - curve number

values

S. Grimaldi, A. Pctrosclli, and N. Romano 1788

Soil conservation service curve number: How to take into account spatial and temporal

variability

M. Rianna, D. Orlando, V. Montesarchio, F. Russo, and F. Napolitano 1792

A comparison of two rainfall disaggregation models

V. Montesarchio, F. Napolitano, E. Ridolfi, and L. Ubcrtini 1796

Convolution of linear system using geomorphological watershed information

S. Grimaldi, A. Petrosclli, and F. Nardi 1800

Preface of the "Symposium on modelling, computers and interactive environments in science

and mathematics education"

Rui Gomes Neves and Vitor Duarte Teodoro 1804

Improving science and mathematics education with computational modelling in interactive

engagement environments

Rui Gomes Neves and Vftor Duarte Teodoro 1806

Preface of the "Symposium on computational nanomaterials"

YakupHundur 1810

Secret of nanomaterials

SuleCelasun 1811

Thermal effects on nickel

Yakup Hundur and Burcin Danaci 1814

Preface of the "Seismic waveform analysis and inversion problems (SWAIP): Overview of

SGRAPH tools and applications"Mohamed F. Abdelwahed 1817

Solving seismological problems using SGRAPH program: I-source parameters and hypocentrallocation

Mohamed F. Abdelwahed 1818

Solving seismological problems using sgraph program: II-waveform modelingMohamed F. Abdelwahed 1823

Preface of the "Symposium on the latest development in the theory of the homotopy analysismethod and its applications"

Fathi M. Allan and Mohamed A. Hajji 1827

xxxix

Solving nonlinear boundary value problems using the homotopy analysis method

Mohamed A. Hajji and Fathi M. Allan 1829

On the similarity solution of nano-fluid flow over a moving flat plate using the homotopy

analysis method

Fathi M. Allan and Mohamed A. Hajji 1833

On the quartet resonance of gravity waves in water of finite depth

Dali Xu, Zhiliang Lin, and Shijun Liao 1838

On the HAM-based mathematica package BVPh for coupled nonlinear ODEs

Yinlong Zhao and Shijun Liao 1842

Three-dimensional boundary-layer flow and heat transfer of a C«-water nanotluid over a

stretching surface

Hang Xu, Tao Fan, and Xiang Cheng You 1845

Application of Homotopy analysis method for mechanical model of deepwater SCR installation

Xiangchcng You and Hang Xu 1850

A study of the initial guess in Homotopy analysis method

Li Zou, Wang Zhen, Zong Zhi, and Tian Shoufu 1856

On the dispersion relation of nonlinear wave current interaction by means of the HAM

Zeng Liu, Zhiliang Lin, and Shijun Liao 1866

A homotopy analysis method for the option pricing PDE in illiquid markets

YoussefE-Khatib 1870

Preface of the "Symposium on memristor-based neuromorphic circuits and unconventional

computing"

Victor Erokhin 1874

Aspects of computing with locally connected networks

V. Beiu, M. Calame, G. Cuniberti, C. Gamrat, Z. Konkoli, D. Vuillaume, G. Wendin,

and S. Yitzchaik 1875

Organic electrochemical transistors operating with electrolytes of increasing complexity for

(Bio)sensing

Giuseppe Tarabella, Nicola Coppede, Roberto Mosca, Fabio Cicoira, and Salvatore lannotta 1880

Creating unorganised machines from memristors

Gerard Howard, Larry Bull, Ben De Lacy Coslello, and Andrew Adamatzky 1884

Chains of organic memristive devices: Cross-talk of elements

Tatiana Berzina, Konstantin Gorshkov, and Victor Erokhin 1888

xl

Towards fully analog hardware reservoir computing for speech recognitionAnteo Smericri, Francois Duport, Yvan Paquot, Marc Haeltcrman, Benjamin Schrauwen,

and Serge Massar 1892

Memristors based on Polyaniline-Nafion interpolyelectrolyte complexesO. Bogomolova, J. Boeva, V. Sereyev, and D. Godovsky 1896

Observation and characterization of memristor current spikes and their application to

neuromorphic computation

Ella Gale, Ben De Lacy Costello, and Andrew Adamatzky 1898

Preface of the "Symposium on metaheuristic and numerical analysis"Gebrail Bekdas and Sinan Mclih Nigdeli 1902

Metaheuristic algorithms in structural dynamics: An application of tuned mass damper

optimization

Gebrail Bekdas and Sinan Mclih Nigdeli 1903

Investigation of earthquake factor for optimum tuned mass dampersSinan Melih Nigdeli and Gebrail Bekdas 1907

Dynamic absorber design for experimental two storey building model

Hasan Omur Ozer and Nurkan Yagiz 1911

Preface of the "Symposium on the numerical analysis and applied mathematics in geodynamics"

BojingZhu 1915

Laboratory experiment of the rock anelastic strain recovery compliances

Lu Gao and Lianj ie Wang 1916

Estimation of co-seismic stress change of the 2008 Wenchuan Ms8.0 earthquake

Dongsheng Sun, Hongcai Wang, Yinsheng Ma, and Chunjing Zhou 1919

Mineral content prediction for unconventional oil and gas reservoirs based on logging data

Tan Maojin, Zou Youlong, and Guoyue 1923

Numerical simulation and fracture identification of dual laterolog in organic shale

Tan Maojin, Wang Peng, and Liu Qiong 1930

What is the main mechanism for the Yanshanian magmatism?

Qiao Yanchao, Tian Ye, Guo Ziqi, and Shi Yaolin 1937

Preface of the "Symposium on helix fitting by a total least squares method"

Norio Matsushima and Purevjav Enkhbayar 1941

xli

HELFIT: Algorithm and applications

Purcvjav Enkhbayar and Norio Matsushima 1942

Structural features of helical secondary structures and leucine-rich repeat superhelix in proteins

as revealed by HELFIT analyses

Norio Matsushima and Purevjav Enkhbayar 1948

Spectrum analysis for non-uniform sampling based on least squares fitting a sinusoid

Shintaro Takastuka 1954

Preface of the "Symposium on modeling and intelligent approaches to packing problems"

Jiamin Liu 1959

Effectively handling three-dimensional spaces for container loading

Jiamin Liu, Xiaorui Zhang, Yong Yuc, and Carstcn Maple 1960

Preface of the "Symposium on computational methods in actuarial and financial risk

evaluations"

Riccardo Gatto 1964

An importance sampling algorithm for estimating extremes of perpetuity sequences

Jeffrey F. Collamore 1966

A minimum-entropy-production criterion to compare credit risk models

Fernando Baltazar-Larios and Pablo Padilla Longoria 1970

Saddlepoint approximations to distributions and measures of risk of aggregate losses

Riccardo Gatto 1973

Measures of risk for the classical risk process using saddlepoint approximation techniques

Benjamin Baumgartner 1977

Preface of the "Third ICNAAM symposium on recent developments in Hilbert space tools and

methodology for scientific computing"Metin Demiralp 1981

Green's function to the forced Duffing equation involving nonlocal integral conditions byGreen's functional concept

KemalOzen 1982

Probabilistic evolutions in classical dynamics: Conicalization and block triangularization of

Lcnnard-Jones systemsBurcu Tunga and Metin Demiralp 1986

xlii

Multinomialization of the classical three body problem before applying probabilistic evolution

approach

Ercan Giirvit and N. A. Baykara 1990

A perturbative approach to high dimensional model representation (HDMR) under nonproduct

type weight and over orthogonal geometry

Derya Bodur and Metin Demiralp 1994

Fundamental elements of vector enhanced multivariance product representation

Berfin Kalay and Metin Demiralp 1998

Probabilistic evolution approach to ODEs with Laurent series expandable descriptive functions

Zeynep Gtindogar and N. A. Baykara 2002

Fluctuation suppression to optimize initial data to increase the quality of truncation

approximates in probabilistic evolution approach for ODEs: Basic philosophy

Ayla Okan, N. A. Baykara, and Metin Demiralp 2007

Unidirectional semi-analytic continuation in the probabilistic evolution approach to Van der Pol

equation

Fatih Hunutlu and N. A. Baykara 2011

A new multiway array decomposition via enhanced multivariance product representation

Evrim K.orkmaz Ozay 2015

Space extension possibilities for probabilistic evolution with multinomial right hand side

functions

Cosar Goziikirmizi 2019

GENERAL SESSION

Approximation of solutions to an abstract Cauchy problem for a system of parabolic equationsMohammed Al-Kadhi 2023

Robust preview control for uncertain discrete-time systems

Di Wang and Fucheng Liao 2028

Heat transfer in turbulent channel flow over protrusionsYu Chen, Y. T. Chew, and B. C. Khoo 2032

A simple procedure for higher-order derivatives of the inverse function

M. Itskov, R. Dargazany, and K. Homes 2037

Computational analysis of a modified guarded hot plate experimentVaclav Koci, Jiff Madera, Milos Jerman, Anton Trm'k, and Robert Cerny 2040

xliii

Exact solutions of the nonlinear ZK-MEW and the potential YTSF equations using the modified

simple equation method

E. M. E. Zayed and A. H. Arnous 2044

The functional variable method and its applications for finding the exact solutions of nonlinear

PDEs in mathematical physics

E. M. E. Zayed and S. A. Hoda Ibrahim 2049

Computational simulation of salt transport and crystallization in surface layers of building

envelopes

Vaclav Kocf, Jin Madera, and Robert Ccrny 2054

Trajectory classification of random motion with stochastic self-acceleration and its anomalous

properties

lhor Lubashcvsky 2058

Effect of hysteresis on moisture transport in porous building materials

Jin Madera, Kamil Durana, Jan Koci, and Robert Cerny 2062

Lateral-torsional buckling analysis of I-beams using shell finite elements and nonlinear

computation methods

Zdenek Kala and J iff Kala 2066

Fuzzy stochastic analysis of serviceability and ultimate limit states oftwo-span pedestrian steel

bridge

Zdenek Kala and Giedre Sandovic 2070

The interaction of local buckling and stability loss of a thin-walled column under compression

Jin Kala and Zdenek Kala 2074

Construction of difference equations from symmetries of ODEs

Toshiaki Itoh 2078

Verification of design procedures of structural stability using probabilistic methods of reliability

analysis

Abayomi Omishore 2082

Linear programming using symmetric triangular intuitionistic fuzzy numbers

R. Parvathi and C. Malathi 2086

A note on prediction bias for state space models with estimated parameters

Magda Monteiro and Marco Costa 2090

Optimal homotopy perturbation method for solving a nonlinear problem in elasticity

R.-D. Ene, V. Marinca, and B. Caruntu 2094

xliv

//-rank as a control tool for discrete dynamical systems

Mantas Landauskas, Jurate Ragulskiene, and Minvydas Ragulskis 2098

Numerical analysis of coupled heat and moisture transport with discontinuities

J. Kruis and J. Madera 2102

Analysis techniques for fractional order systems: A survey

Umair Siddique and Osman Hasan 2106

On models of design optimization with bounded-but-unknown uncertainty

PingYi 2110

Discretization of mass forces and its impact on drop break-up in stirrers

Dominik Staab, Tomasz Waclawczyk, Dorte C. Sternel, and Michael Schafer 2114

On the numerical solution of a boundary value problem which rises in the prediction of

meteorological parameters

Ioannis Th. Famelis, George Galanis, and Dimitrios Triandafyllou 2118

A macroscopic model for crossing pedestrian streams

Hartmut Schwandt, Frank Huth, Gunter Barwolff, and Stefan Berres 2122

A new placement optimization method for viscoelastic dampers: Energy dissipation method

Ji-TingQu 2126

Numerical analyses of fluid flow in Joule-heated cavity of low-Prandtl number fluid

Zhang Xiaohui, Zhang Mingjie, and Zhong Qigang 2130

Steady state heat simulator using generalized AOR scheme

M. K. Hasan and Y. H. Ng 2134

Mathemimetics I: Self-computational prime-number line and three-dimensional Diophantine

equation matrix

ErikTrell 2138

Mathemimetics II. Demonstratio Mirabilis of FLT by infinitely ascending cubical crystal growthErikTrell 2143

Quenching phenomena for fourth-order nonlinear parabolic equationsNiu Yi, Qiu Xiaotong, and Xu Runzhang 2147

Quenching phenomena for second-order nonlinear parabolic equation with nonlinear source

Zhang Mingyou, Xu Huichao, and Xu Runzhang 2151

Local well-posedness for nonlinear Klein-Gordon equation with weak and strong damping terms

Wang Shuo, Ding Yunhua, and Xu Runzhang 2155

xlv

Identification of water vapour transport properties of gypsum using evolutionary algorithmsJan Koci, Jifi Madera, Zbysek Pavlik, and Robert Ccrny 2158

Strain energy diagram for characterizing fatigue behavior

Zihai Shi, Yukari Nakamura, and Masaaki Nakano 2162

Generalizing block FSAI preconditioning to unsymmetric indefinite matrices

Massimiliano Ferronato, Carlo Janna, Giorgio Pini, and Giuseppe Gambolati 2166

On cyclomatic complexity and decision graphsRobert Gold 2170

Mathematical and physical modelling of atherosclerosis in terms of the alterations of the

dynamic electrical impedance of the arteries

Gcorgios Giannoukos 2174

Stability of central finite difference schemes on non-uniform grids for the Black-Scholes PDE

with Neumann boundary condition

K. Voldcrs 2178

A numerical method for creating and reconstructing computer-generated hologramsLotfi Abdelhakim 2182

A Laplace transform piecewise linearized method for a second order hyperbolic equationAderito Araujo, Cidalia Neves, and Ercilia Sousa 2187

To the identification of an inverse boundary-value problem for the biharmonic equationLyubov Voloshko and Olena Kiselyova 2191

AD1 FD schemes for the numerical solution of the three-dimensional Heston-Cox-Ingersoll-Ross PDE

Tinne Haenljens 2195

The extraction of edges and ridges from potential field data using gradient vector information

Gordon R. J. Cooper 2200

Evaluation of thermal resistance of building insulations with reflective surfaces

S. St'astnik 2204

Nondestructive identification of engineering properties of metal fibre compositesJ. Vala and M. Horak 2208

On 2-element fuzzy and mimic fuzzy hypergroupsCh. G. Massouros and G. G. Massouros 2213

xlvi

Parallel computations based on modified numerical integration methods

Jifi Kunovsky, Michal Kraus, Vaclav Satck, and Alexandr Szollos 2217

Stiffness in technical initial problemsJiff Kunovsky, Vaclav Satek, Vaclav Vopenka, and Alexander Schirrer 2221

Computational modeling of" monoenergetic neutral particle inverse transport problems in slab

geometry

Rodrigo R. Gomes and Ricardo C. Barros 2225

Y-dependent perturbation analysis of wave growth for 2D volume of fluid model

Stamatis Kalogerakos, Mustapha Gourma, and Chris P. Thompson 2229

Data analysis unveils a new stylized fact in foreign currency markets

J. C. Nacher and T. Ochiai 2233

Controlling chaos in a defined trajectory using adaptive fuzzy logic algorithm

Maryam Sadeghi and Bagher Menhaj 2237

Newton interpolation and the nonautonomous discrete KP equation

Ryosuke Miyaura and Atsushi Mukaihira 2241

A stability result for the MCS scheme applied to 2D convection-diffusion equations with mixed

derivative

Chittaranjan Mishra 2245

Optimal control of coupled PDE networks with automated code generationD. Papadopoulos 2249

On the microeconomic problems studied by portfolio theory

Oleg Nikonov and Marina Medvedeva 2253

Lyapunov exponent for aging process in induction motor

Duygu Bayram, Sezcn Yidinm Unnii, and Serhat $ekcr 2257

Induction of belief decision trees from data

Khalil AbuDahab, Dong-ling Xu, and John Keane 2262

Feedback options in nonlinear numerical finance

Jens Hugger and Sima Mashayckhi 2266

Energy stable, collocated high order schemes for incompressible Hows on distorted gridsJulius Reiss 2270

A discretized surface representation: Approximation on 3D meshes

Wieme Gadacha and Faouzi Ghorbel 2274

xlvii

Dynamic characteristics of a cable-stayed bridge measured from traffic-induced vibrations

Yun-Chc Wang and Chern-Hwa Chen 2278

Comparison of quadrature rules for the Wielandt-Nystrom method with statistical applicationsRaffaello Seri and Christine Choirat 2282

Algorithms for multicriteria location problemsShaghaf Alzorba and Christian Giinther 2286

Fully conservative finite-difference schemes of arbitrary order for compressible HowJens Brouwer, Julius Reiss, and Jorn Sesterhenn 2290

Toward an isotropic representation of 3D triangulated surface objectMchdi Hajji, Tarak Bannour, and Faouzi Ghorbel 2294

Analytical solutions of one-dimensional Stokes' problems for infinite and finite domains with

generally periodic boundary conditions

Danilo Durante and Riccardo Broglia 2298

Using finite difference to solve heat removal in metallic sections industrially producedA. Ramirez-Lopez, D. Munoz-Negron, M. Palomar-Pardeve, M. A. Romero-Romo,and V. Cruz-Morales

2302

A method of plaiting hair

Ikuo Saitoh2306

A spatio-temporal extension to the map cube operatorJuan C. Alzate, Francisco J. Moreno, and Jaime Echevcrri 2310

A model for Huanglongbing spread between citrus plants including delay times and humanintervention

Raphael G. d'A. Vilamiu, Sonia Ternes, Guilherme A. Braga, and Francisco F. Laranjeira 2315

Modelling the behaviour of ceramics under various modes of mechanical loading with movablecellular automata

Dorota Aniszewska and Marek Rybaczuk 2320

Duality concept in curve and surface modellingMaria Kmetova and Tibor Kmet

2324

Solution of three-dimensional electromagnetic scattering problems by interior source methodsUrve Kangro

2328

xlviii

On parameter choice in the regularization of ill-posed problems with rough estimate of the noise

level of the data

U. Hamarik, U. Kangro, R. Palm, and T. Raus 2332

A variational formulation for the diffusion equation

R. Guirardcllo 2336

Two-phase flow in a fissurized-porous media

P. 0. Andersen and S. Evje 2340

Genetic algorithms for multicriteria shape optimization ofinduction furnace

Pavel Kus, Frantisek Mach, Pavel Karban, and Ivo Dolezel 2344

A custom flexible experimental setup to test air source heat pump for smart buildings

Vasile S. Cracium, Carsten Bojesen, and Viorel Trifa 2348

Investigation of charge weight and shock factor effect on non-linear transient structural

response of rectangular plates subjected to underwater explosion (UNDEX) shock loading

Ozgur Demir, Abdurrahman Sahin, and Tamer Yilmaz 2352

On the structural law of exoplanetary systems

P. Lara, A. Poveda, and C. Allen 2356

Issues of one kind of integro-differential equations

Shihchung Chiang and Wei-Chun Wu 2360

Approximate solutions of vector optimization problem with variable ordering structure

Behnam Soleimani and Christiane Tammer 2363

Multicriteria approaches for a private equity fund

Christiane Tammer and Johannes Tannert 2367

Relations between strictly robust optimization problems and a nonlinear scalarization method

Elisabeth Kobis and Christiane Tammer 2371

Numerical modeling of a tinned PCM heat sink

Y. Kozak and G. Ziskind 2375

Some explicit solutions for a class of one-phase Stefan problems

Olawanle P. Layeni and Jesse V. Johnson 2379

An optimal homotopy perturbation approach to thin film flow of a fourth grade fluid

Vasile Marinca and Nicolae Herisanua 2383

An approximate solution for the nonlinear Lane-Emden type equation on a semi-infinite domain

Vasile Marinca and Nicolae Herisanu 2387

xlix

Construction of the multi-wave solutions for nonlinear evolution equations

Changfu Liu, Yanke Wu, and Bingtao Wei 2391

Three-dimensional spatiotemporal solitons in self-defocusing media

Changfu Liu, Yan Zhu, and Zhixin Zhang 2395

Fast but chaotic artificial time integration

Uri Ascher and Kees van den Doel 2399

Phase fitted variational integrators using interpolation techniques on non regular grids

O. T. Kosmas and S. Leycndccker 2402

Kinetic advantage of controlled intermediate nuclear fusion

Xiaoming Guo 2407

Adomian series solution for computing the effect of size dependency of material characteristics

on the internal stress field of cantilever nano-actuators in the presence of intermolecular force

Alireza Vahdati, Ahmad Khani, Masoud Jandaghian, and Fakhrodin Alimoradi 2411

Decomposition method for simulating the size effect on distribution of stress resultants in

beam-type NEMS considering Casimir attraction

Rahman Soroush, Masoud Jandaghian, Ahmad Khani, and Fakhrodin Alimoradi 2415

Comparison between two analytical techniques for simulating the pull-in behavior of

nano-structures

Fakhrodin Alimoradi, Masoud Jandaghian, Ahmad Khani, and Mohammadamin Moghimi Zand 2419

Construction and analysis of biochemical networks

Michael Binns and Constantinos Theodoropoulos 2423

Determining biochemical reaction network structures for kinetic polynomial models with

uncertain coefficients

Gabor Szederkenyi, Z. A. Tuza, and Katalin M. Hangos 2427

Validation of a solid oxide fuel cell model

Christina Charalampidou and Ioannis K. Kookos 2431

Wave equations and reaction-diffusion equations with several nonlinear source terms with

critical energy

Yu Tao, Tang Liqiang, Liu Bowei, and Xu Runzhang 2435

On existence and uniqueness of the solution of stationary flow in a profile cascade with natural

boundary condition involving Bernoulli's pressure on the outflow

Tomas Neustupa 2439

Author Index 2443

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