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Page 1: RECENT ADVANCES in APPLIED - WSEAS · Application of Computational Fluid Dynamics to Address Environmental and Buildings Design ... Computational Prediction of Binding Affinity between
Page 2: RECENT ADVANCES in APPLIED - WSEAS · Application of Computational Fluid Dynamics to Address Environmental and Buildings Design ... Computational Prediction of Binding Affinity between

RECENT ADVANCES in APPLIED MATHEMATICS, MODELLING and

SIMULATION

Proceedings of the 8th International Conference on Applied Mathematics, Simulation, Modelling (ASM '14)

Florence, Italy November 22-24, 2014

Series: Mathematics and Computers in Science and Engineering Series | 34

ISSN: 2227-4588 ISBN: 978-960-474-398-8

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RECENT ADVANCES in APPLIED MATHEMATICS, MODELLING and SIMULATION

Proceedings of the 8th International Conference on Applied Mathematics, Simulation, Modelling (ASM '14) Florence, Italy November 22-24, 2014

Published by WSEAS Press www.wseas.org Copyright © 2014, by WSEAS Press All the copyright of the present book belongs to the World Scientific and Engineering Academy and Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy and Society Press. All papers of the present volume were peer reviewed by no less that two independent reviewers. Acceptance was granted when both reviewers' recommendations were positive.

ISSN: 2227-4588 ISBN: 978-960-474-398-8

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RECENT ADVANCES in APPLIED MATHEMATICS, MODELLING and

SIMULATION

Proceedings of the 8th International Conference on Applied Mathematics, Simulation, Modelling (ASM '14)

Florence, Italy November 22-24, 2014

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Editors: Prof. Nikos E. Mastorakis, Technical University of Sofia, Bulgaria Prof. Metin Demiralp, Istanbul Technical University, Turkey Prof. Nitis Mukhopadhyay, University of Connecticut, USA Prof. Francesco Mainardi, University of Bologna & INFN, Italy Committee Members-Reviewers: Elena Bautu Ankit Patel Claudio Guarnaccia Arion Felix Nikos Loukeris Takuya Yamano Petr Hajek Valeriy Perminov M. M. Noor Yu Zhang Sorinel Oprisan Hime Aguiar Valeriu Prepelita Satish Kumar Duraiswamy Mohamed Zahran Zengshi Chen Eleazar Jimenez Serrano Kevin Kam Fung Yuen Huashui Zhan Jiri Hrebicek Hongjun Liu Mahdi Faraji Hamed Ziaeipoor Guoxiang Liu Diego Pinto Roa Amjad Mahmood David Nicoleta Claudia-Georgeta Carstea Al Emran Ismail Snezhana Georgieva Gocheva-Ilieva Ahmed Zeeshan Ali Sadeghi Alina Adriana Minea Anton V. Doroshin Calin Ciufudean Carlos E. Formigoni Cleopatra Florentina Cuciumita Dana Anderson Daniela Cristiana Docan Dean Teneng Gabriel Frumusanu Gheorghe Mugurel Radulescu Gheorghe Badea Huashui Zhan Zhan Ibrahim Canak Ioana Adrian Jose Manuel Mesa Fernández Lungu Mihai Aureliu Majid Mohammed Ali Maria Dobritoiu Maria Wenisch

Mehmet Emir Köksal Mihaela Neamtu Mihaiela Iliescu Muhammad Raheel Mohyuddin Naveen G. Ramunigari Nazir Ahmad Nicolae Ungureanu Noor Fadiya Mohd Noor Panagiotis Gioannis Petras Rupšys Roman Prokop Roots Larissa Rosli Abu Bakar Santhosh Kumar.B B Swapnadip De Tiberiu Socaciu Zaharia Sebastian Zahéra Mekkioui Zakaria Zubi

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Table of Contents

Keynote Lecture 1: Most Recent Developments within Enhanced Multivariance Products Representation (EMPR) Perspective

12

Metin Demiralp

Plenary Lecture 1: Fractional Diffusive Waves Generated by Evolution Equations of Fractional Order

14

Francesco Mainardi

Plenary Lecture 2: On Fundamental Sequential Confidence Interval Estimation Problems Revisited

15

Nitis Mukhopadhyay

Plenary Lecture 3: On Maximum Likelihood Clustering via a Multimodal Probability Model 16

Miin-Shen Yang

Plenary Lecture 4: Geometrical Numerical Techniques for the Approximation of Ecological Models Described by Nonlinear Differential Equations

17

Fasma Diele

The gamma-Transform: A New Approach to the Study of a Discrete and Finite Random Variable

19

Fabio Grandi

Valuation of Discretely-Sampled Variance Swaps under Correlated Stochastic Volatility and Stochastic Interest Rates

27

Teh Raihana Nazirah Roslan, Wenjun Zhang, Jiling Cao

A Viscoelastic Model for Transient Waves in Fluid-Filled Elastic Tubes 35

Andrea Giusti, Francesco Mainardi

Approximate Confidence Sets for Adaptive Generalised Linear Models 40

D. S. Coad

Small Noise Asymptotic Expansion for the Infinite Dimensional Van der Pol Oscillator 43

Francesco Cordoni, Luca Di Persio

On Investigation and Approximate Solution of One Nonlinear Partial Integro-Differential Equation with Source Term

50

Temur Jangveladze, Zurab Kiguradze

Low-Velocity Impact Response of Non-Linear Doubly Curved Shallow Shells with Rectangular Base under 2:1 Internal Resonance

56

Y. A. Rossikhin, M. V. Shitikova, Muhammed Salih Khalid J. M.

Recent Advances in Applied Mathematics, Modelling and Simulation

ISBN: 978-960-474-398-8 7

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A Simplified Method for Finding Confidence Intervals through Sequential Monte Carlo Simulation

65

Ivair Ramos Silva

A Grunwald–Letnikov Scheme for Fractional Operators of Havriliak–Negami Type 70

Roberto Garrappa

Local and Nonlocal Symmetries and Inverse Problems for Ordinary Differential Equations 77

Valentin Zaitsev, Lidiya Linchuk, Alexander Flegontov

Mean Density of Random Closed Sets and their Estimation: Some Results and Applications 84

Elena Villa

Linking Lamda-Boolean Theory and the Coppo-Dezani Type-Assignment System 91

Seref Mirasyedioglu

General Conditional Information with an Aim 96

Doretta Vivona, Maria Divari

Computation Eigenvalues and Eigenfunctions of Mixed BVP for Helmholtz Equation 101

Vitaliy Lukinov

Asymptotic Behaviour for an Electromagnetic Differential System with a Memory Dissipative Boundary Condition

105

Mauro Fabrizio

Application of Computational Fluid Dynamics to Address Environmental and Buildings Design Challenges

109

Neihad Hussen Al-Khalidy

Mathematical Analysis of Glioblastoma Invasion in 3D 117

Akisato Kubo, Katsutaka Kimura

Stochastic Models for Ordinal Panel Data with Individual and Time-Varying Latent Effects 123

Fulvia Pennoni, Giorgio Vittadini

A Debt Behavior Model 127

Wenjun Zhang

Computational Prediction of Binding Affinity between Psychotropic Drugs and Neural Cytoskeleton Elements

132

R. Pizzi, T. Rutigliano, A. Ferrarotti, M. Pregnolato

Robustness of Normal-Based Multi-Stage Sequential Sampling Procedures 139

H. I. Hamdy, M. S. Son, A. S. Yousef

Functional Nonparametric Classification of Random Surfaces 143

Javier Álvarez-Liébana, M. Dolores Ruiz-Medina

Recent Advances in Applied Mathematics, Modelling and Simulation

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Ecological Modelling for Next Generation Sequencing Data 153

C. Sala, S. Vitali, E. Giampieri, D. Remondini, I. F. Do Valle, G. Castellani

Mathematical Modeling of Crown Forest Fires Spread With Firebreaks 157

Valeriy Perminov

An Impulse-Based Algorithm for Dynamical Systems with Multiple Simultaneous Collisions 164

Razvan Andrei Oprea, Cornelia Stan

Parametric Methods for Fault Analysis Applied to a Servomechanism Affected by Multiple Failures

171

P. Maggiore, M. D. L. Dalla Vedova, L. Pace

Causality in Continuous Time and Applications 183

Ljiljana Petrovic, Dragana Valjarevic

Corridor Size Variation in Spatially Explicit/implicit Models 188

Fasma Diele, Carmela Marangi, Stefania Ragni

The Solution of Time Fractional Heat Equation With New Fractional Derivative Definition 195

Yücel Çenesiz, Ali Kurt

Approximation in Variation for Nonlinear Mellin Integral Operators in Multidimensional Setting

199

Laura Angeloni, Gianluca Vinti

The Use of Analytic Hierarchy Process for the Life Extension Analysis of Air Defense Integrated Systems

204

Vasile Şandru, Cristian-George Constantinescu, Mircea Boscoianu

A Comparison of a Dynamic Compilation and Mathematic Parser Libraries in .NET for Expression Evaluation

212

Petr Čápek, Erik Král

Convective Instability in a Horizontal Annular Porous Duct with Conducting Walls 219

Eugenia Rossi di Schio

Study Concerning the Influence of the Engine Mounting System on the Vibration Transmissibility to the Truck Cab

225

Cornelia Stan, Daniel Iozsa, Razvan Oprea

Modelling and Simulation in Environmental Data Analysis 229

Claudio Guarnaccia, Joseph Quartieri

A Comparison of the Performance of a Composite Pattern and a Mathematic Expression Parser and Interpreter

239

Erik Král, Petr Čápek

Equilibrium-Based Simulation of Lignocellulosic Biomass Pyrolysis via Aspen Plus® 242

Alessandro Visconti, Michele Miccio, Dagmar Juchelková

Recent Advances in Applied Mathematics, Modelling and Simulation

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Analytical Solution for Evaporating Sessile Drops on Solid Substrates 252

Stanislav Z. Dunin, Oleg V. Nagornov, Nikolay V. Starostin, Vladimir P. Trifonenkov

Sampling Kantorovich Operators and their Applications to Approximation Problems and to Digital Image Processing

256

Danilo Costarelli, Gianluca Vinti

Optimisation of Factory Floor Layout in a Complex Manufacturing Process 261

Tadej Kanduč, Blaž Rodič

Energetic Considerations on the Effects of Inelastic Stiffness on Nonlinear Seismic Response 270

Rita Greco

Simulations of Absorption and Emission Spectra for LH4 Ring - Full Hamiltonian Model 286

Pavel Herman, David Zapletal, Jan Slegr

3D Expression Recognition using Geometrical Surface Properties 295

Krasimir Tonchev, Strahil Sokolov

A Contravariant Formulation of Non-Linear Shallow Water Equations 299

Giovanni Cannata, Francesco Lasaponara, Francesco Gallerano

The Intelligent Identification Technique with Associative Search for Large-Scale Industrial Facilities

307

Nataliya N. Bakhtadze, Evgeny M. Maximov, Vladimir A. Lototsky

Estimation Accuracy of an Inequality Index 318

Bhargab Chattopadhyay, Shyamal K. De

The Cell Method as a Case of Bialgebra 322

Elena Ferretti

Design of Intelligent Knowledge Engine for Decision Support Systems in Agriculture 332

František Kožíšek, Petr Hanzlík

Finite Velocity Planar Random Motions Driven by Inhomogeneous Fractional Poisson Distributions

337

Roberto Garra, Enzo Orsingher

An Indicator of an Individual’s Professional Quality 342

Amelia Bucur

Molecular Cooperation to Reinforce Immune Response during Carcinoma: A Structural Bioinformatics Analysis

346

R. Pizzi, T. Rutigliano, P. Guadalupi, M. Pregnolato

Multi-Observer for Uncertain Output Nonlinear Systems 354

Hassene Bedoui, Kamel Ben Othman

Recent Advances in Applied Mathematics, Modelling and Simulation

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Understanding the Diffusion of a Mobile Application for Supply Chain Management: A System Dynamics Approach

360

Anna Corinna Cagliano, Alberto De Marco, Carlo Rafele

The Jet-To-Channel Reynolds Number Ratio Effect on the Flow Around a Wall-Mounted Cube Cooled Simultaneously by a Jet in a Crossflow

370

Nemdili Saleha, Nemdili Fadela, Azzi Abbes

An Alternating Least Squares Algorithm with Application to Image Processing 379

Lorenzo Piazzo

Computational Information Conservation Theory: An Introduction 385

Rodolfo A. Fiorini

Generating Random Samples from the Generalized Pareto Mixture Model 395

Mustafa Çavuş, Ahmet Sezer, Berna Yazici

Incentive Design and Manager Performances: An ABM Approach 401

Concetta Sorropago

Performance of the Simulation Method with Gumbel Distribution 411

Mustafa Çavuş, Özer Özdemir

Authors Index 418

Recent Advances in Applied Mathematics, Modelling and Simulation

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Keynote Lecture 1

Most Recent Developments within Enhanced Multivariance Products Representation (EMPR) Perspective

Professor Metin Demiralp Istanbul Technical University

Informatics Institute TURKEY

E-mail: [email protected]

Abstract: A few years ago, Metin Demiralp has constructed an extension to High Dimensional Model Representation (HDMR) by inserting certain given univariate functions, support functions, to the formulation. This extension has been called “Enhanced Multivariance Products Representation (EMPR)” because of the additive terms with unique common multivariance same as the number of the target function’s independent variables. After this construction, during the time period, from then until now, he and his group (Group for Science and Methods of Computing in ˙Istanbul Tehcnical University Informatics Institute) members performed various applications and created new developments. EMPR preserves the orthogonal geometry of HDMR. It also uses the product type overall weight functions which are composed of univariate factors, each of which depends on a different independent variable argument of the target function; even though quite recently nonproduct type overall weights are succesfully introduced to the formulation of HDMR. Beyond these preservations, the basic extension is to multiply each HDMR component with certain univariate support functions such that the resulting form of the component becomes dependent of all independent variables of target function. The support functions are given entities and, depending on how they are defined, the EMPR truncations show different level of approximation qualities. Hence, the support function selection is perhaps the most important component of EMPR. EMPR has born from the image processing via HDMR upon noticing its certain in sufficiencies within technicalities. The bivariate HDMR has been used therein and soon it has been noticed that the all of the three different type HDMR truncations were giving almost nothing and the bivariate remainder term was involving overdominating pixel information about the target image with slightly depending on which kind of weight has been used. This motivated us to change, or truely speaking, extend HDMR philosophy by importing support functions. The result has been really more acceptable when the dimensionality grows. Even though there has been a noticable quality increase even in the case of bivariance, bivariate EMPR has appeared to be quite limited and urged us to seek more than one sets of support functions to extend HDMR. The result has been quite succesfull and TMEMPR (Tridiagonal Matrix EMPR) for discrete set domains and TKEMPR (Tridiagonal Kernel EMPR) for continuous functions which can be considered as the kernel of an appropriate univariate integral operator have born after these efforts. The presentation focuses on these and some related issues in somehow chronological order. Brief Biography of the Speaker: Metin Demiralp was born in Türkiye (Turkey) on 4 May 1948. His education from elementary school to university was entirely in Turkey. He got his BS, MS degrees and PhD from the same institution, ˙Istanbul Technical University. He was originally chemical engineer, however, through theoretical chemistry, applied mathematics, and computational science years he was mostly working on methodology for computational sciences and he is continuing to do so. He has a group (Group for Science and Methods of Computing) in Informatics Institute of ˙Istanbul Technical University (he is the founder of this institute). He collaborated with the Prof. Herschel A. Rabitz’s group at Princeton University (NJ, USA) at summer and winter semester breaks during the period 1985-2003 after his 14 month long postdoctoral visit to the same group in 1979-1980. He was also (and still is) in collaboration with a neuroscience group at the Psychology Department in the University of Michigan at Ann Arbour in last three years (with certain publications in journals and proceedings). Metin Demiralp has more than 100 papers in well known and prestigious scientific journals, and, more than 230 contributions together with various keynote, plenary, and, tutorial talks to the proceedings of various international conferences. He gave many invited talks in various prestigious scientific meetings and academic institutions. He has a good scientific reputation in his country and he was one of the principal members of Turkish Academy of Sciences since 1994. He has resigned on June 2012 because of the governmental decree changing the structure of the

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academy and putting politicial influence possibility by bringing a member assignation system. Metin Demiralp is also a member of European Mathematical Society. He has also two important awards of turkish scientific establishments. The important recent foci in research areas of Metin Demiralp can be roughly listed as follows: Probabilistic Evolution Method in Explicit ODE Solutions and in Quantum and Liouville Mechanics, Fluctuation Expansions in Matrix Representations, High Dimensional Model Representations, Space Extension Methods, Data Processing via Multivariate Analytical Tools, Multivariate Numerical Integration via New Efficient Approaches, Matrix Decompositions, Multiway Array Decompositions, Enhanced Multivariate Product Representations, Quantum Optimal Control.

Recent Advances in Applied Mathematics, Modelling and Simulation

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Plenary Lecture 1

Fractional Diffusive Waves Generated by Evolution Equations of Fractional Order

Professor Francesco Mainardi Department of Physics University of Bologna

& INFN Italy

E-mail: [email protected]

Abstract: In this lecture we discuss some properties of the Cauchy and signaling problems for the one-dimensional time-fractional diffusion-wave equation with the time fractional derivative of order beta (1< beta <2) . In particular, their response to a localized disturbance of the initial data is studied. It is known that whereas the diffusion equation describes a process where the disturbance spreads infinitely fast, the propagation velocity of the disturbance is a constant for the wave equation. We show that the time-fractional diffusion-wave equation interpolates between these two different responses in the sense that the propagation velocities of the maximum points, centers of gravity, and medians of the fundamental solutions to both the Cauchy and the signaling problems are allfinite. On the other hand, the disturbance spreads infinitely fast and the time-fractional diffusion-wave equation is non-relativistic like the classical diffusion equation. Furthermore, the maximum locations, the centers of gravity, and the medians of the fundamental solution to the Cauchy and signaling problems and their propagation velocities are described analytically and calculated numerically. The obtained results for the Cauchy and the signalling problems are interpreted and compared to each other. Brief Biography of the Speaker: Presently Francesco MAINARDI is retired professor of Mathematical Physics from the University of Bologna where has taught this course since 40 years. His fields of research concern several topics of applied mathematics, including diffusion and wave problems, asymptotic methods, integral transforms, special functions, fractional calculus and non-Gaussian stochastic processes. At present his H-index is > 40 For a full biography, list of references on author's papers and books see: Home Page: http://www.fracalmo.org/mainardi/index.htm and http://scholar.google.com/citations?user=UYxWyEEAAAAJ&hl=en&oi=ao

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Plenary Lecture 2

On Fundamental Sequential Confidence Interval Estimation Problems Revisited

Professor Nitis Mukhopadhyay Department of Statistics

University of Connecticut Storrs, CT

USA E-mail: [email protected]

Abstract: The literature on fundamental sequential confidence interval estimation problems had major breakthroughs with significant richness after the appearance of pioneering contributions of Dantzig (1940, Annals of Mathematical Statistics), Stein (1945, Annals of Mathematical Statistics), Anscombe (1952, Proceedings of Cambridge Philosophical Society), and Chow and Robbins (1965, Annals of Mathematical Statistics). This area was elegantly synthesized along with new directions for research by Ghosh and Mukhopadhyay (1976, Sankhya, Series B). The literature has since grown tremendously in many directions with incorporation of operationally convenient multi-stage and computer-intensive sampling methods having first-, and often second-order, asymptotic properties. One will find many important directions from the texts of Mukhopadhyay and Solanky (Multistage Selection and Ranking Procedures, 1994, Dekker), Ghosh, Mukhopadhyay, and Sen (Sequential Estimation, 1997, Wiley), Mukhopadhyay, Datta, and Chattopadhyay (Applied Sequential Methodologies, 2004, Dekker), Mukhopadhyay and de Silva (Sequential Methods and Their Applications, 2009, CRC Press), and others. In this plenary lecture, I will begin by summarizing the original contributions of Dantzig, Stein, Anscombe, and Chow and Robbins. Then, I will move to emphasize a clear roadmap linking some of the major methodological and theoretical developments from past 40 years. Real applications will be highlighted when appropriate. Brief Biography of the Speaker: Professor Nitis Mukhopadhyay received his PhD degree awarded by the Indian Statistical Institute-Calcutta based on a dissertation dated 1975. He has been a full professor in the Department of Statistics at the University of Connecticut-Storrs, USA since 1985. He served as the Head of this department during 1987-1990. He has made prolific contributions in many areas including statistical inference -parametric and nonparametric, multiple comparisons, clinical trials, applied probability, and applications. Professor Mukhopadhyay is especially revered for path-breaking contributions in sequential analysis as well as selection and ranking. His honors include elected Fellows of the Institute of Mathematical Statistics (2002), the American Statistical Association (2003), the American Association for the Advancement of Science (2012), elected Ordinary Member of the International Statistical Institute (2007), elected Member of the Connecticut Academy of Arts and Sciences (2014), and the Abraham Wald Prize in Sequential Analysis (2008). He is the Editor-in-Chief for the premier journal, Sequential Analysis, and serves as an Associate Editor for a number of leading international journals. Professor Mukhopadhyay is the author or co-author of 6 books, 14 book chapters, more than 215 research papers, and editor or co-editor of 6 special volumes. He has supervised 22 PhD students as their major adviser. For more details, one may visit the website: http://www.stat.uconn.edu/~nitis/.

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Plenary Lecture 3

On Maximum Likelihood Clustering via a Multimodal Probability Model

Professor Miin-Shen Yang Department of Applied Mathematics

Chung Yuan Christian University Chung-Li 32023, Taiwan

E-mail: [email protected]

Abstract: Clustering is a method for finding structure in a data set. Clustering methods can be generally categorized as either having a (probability) model-based approach or a nonparametric approach. For a model-based approach, there are two ways to use a probability model for clustering. One is based on the expectation & maximization (EM), and the other is based on the classification maximum likelihood (CML). For a nonparametric approach, clustering methods are generally based on an objective function of similarity or dissimilarity measures, and partitional methods are popularly used, such as k-means and fuzzy c-means, etc. In this lecture, we first consider the maximum likelihood (ML) estimation for the proposed multimodal probability model (MPM) to establish an ML clustering approach. According to the ML clustering, the relationships between most clustering algorithms and the MPM are established. We find that the MPM is actually a good basic probability model for most clustering methods. This ML clustering approach can lead to most clustering algorithms, such as EM, CML, k-means, fuzzy c-means, possibilistic c-means, mean shift, and latent class methods. We then construct two ML clustering frameworks based on the MPM for developing new clustering algorithms. One framework can develop penalized-type clustering algorithms. Another framework induces entropy-type clustering algorithms, especially with sample-weighted clustering. Several numerical and real data sets are made for comparisons. These experimental results show that these new constructions based on the ML clustering can produce useful and effective clustering algorithms. Brief Biography of the Speaker: Prof. Miin-Shen Yang received the BS degree in mathematics from the Chung Yuan Christian University, Chung-Li, Taiwan, in 1977, the MS degree in applied mathematics from the National Chiao-Tung University, Hsinchu, Taiwan, in 1980, and the PhD degree in statistics from the University of South Carolina, Columbia, USA, in 1989. In 1989, he joined the faculty of the Department of Mathematics in the Chung Yuan Christian University (CYCU) as an Associate Professor, where, since 1994, he has been a Professor. From 1997 to 1998, he was a Visiting Professor with the Department of Industrial Engineering, University of Washington, Seattle. During 2001-2005, he was the Chairman of the Department of Applied Mathematics in CYCU and now, he is the Director of Chaplain’s Office in CYCU. His research interests include applications of statistics, fuzzy clustering, neural fuzzy systems, pattern recognition and machine learning. Dr. Yang was an Associate Editor of the IEEE Transactions on Fuzzy Systems (2005-2011), and is an Associate Editor of the Applied Computational Intelligence & Soft Computing and Editor-in-Chief of Advances in Computational Research. He was awarded with 2008 Outstanding Associate Editor of IEEE Transactions on Fuzzy Systems, IEEE; 2009 Outstanding Research Professor of Chung Yuan Christian University; 2010 Top Cited Article Award 2005-2010, Pattern Recognition Letters; 2012 Distinguished Professor of Chung Yuan Christian University; 2014 overseas academic scholar for The 111 Plan of China.

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Plenary Lecture 4

Recent Advances in Applied Mathematics, Modelling and Simulation

ISBN: 978-960-474-398-8 17

Geometrical Numerical Techniques for the Approximation of Ecological Models Described

by Nonlinear Differential Equations

Dr. Fasma Diele IAC-CNR researcher via Amendola 122/D

Bari, Italy E-mail: [email protected]

Abstract: A major neglected weakness of many current (non trivial) ecological models is the numerical method used to solve the governing systems of differential equations (DEs). Indeed, the discrete dynamics of the approximations of DEs may provide spurious numerical behaviour. This indicates that many problems widely believed to be endemic to the models, are frequently merely artifacts of their numerical implementation. The approach represented by the geometric numerical integration, by preserving qualitative properties of the solution, leads to improved long-time numerical behaviour. Therefore geometric integration methods should be used for preserving one or more of the properties (positivity of the phase space, Poisson structure, invariants) that characterize the continuous ecological models. The effectiveness of this approach will be shown with some examples of population dynamics. Brief Biography of the Speaker: Dr. Fasma Diele (female), Master degree in Mathematics, researcher at Istituto per Applicazioni del Calcolo "M.Picone" of the Consiglio Nazionale delle Ricerche (CNR) since 1998, she is the Head of the IAC Research Unit located in Bari. She is author of several papers in numerical analysis and scientific computing. She was referee for Italian University and Research Ministry (MIUR) in the area of Numerical Analysis. She was referee for Proposals in Mathematics of the National Research Fund for Scientific & Technological Development (FONDECYT), Chile. She is reviewer for several mathematics journals such as SIMAX, SINUM, SISC. She is member of the editorial board of Journal of Computer Science and Abstract and Applied Analysis. Her area of expertise is the field of Geometric Numerical Integration of non linear differential equations: methods for preserving invariants, energy-preserving methods, symplectic partitioned Runge-Kutta methods, splitting and composition methods. She was research leader of RSTL id.332 project (funded by CNR), "Numerical algorithms for differential equations with specific qualitative properties". She participated to the FP7-SPACE.2010.1.1-04 project BIO_SOS developing her research activity on symplectic methods for simulating population and metapopulation dynamics in fragmented habitat.

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Authors Index

Abbes, A. 370 Grandi, F. 19 Pregnolato, M. 132, 346Al-Khalidy, N. H. 109 Greco, R. 270 Quartieri, J. 229 Álvarez-Liébana, J. 143 Guadalupi, P. 346 Rafele, C. 360 Angeloni, L. 199 Guarnaccia, C. 229 Ragni, S. 188 Bakhtadze, N. N. 307 Hamdy, H. I. 139 Remondini, D. 153 Bedoui, H. 354 Hanzlík, P. 332 Rodič, B. 261 Boscoianu, M. 204 Herman, P. 286 Roslan, T. R. N. 27 Bucur, A. 342 Iozsa, D. 225 Rossikhin, Y. A. 56 Cagliano, A. C. 360 Jangveladze, T. 50 Ruiz-Medina, M. D. 143 Cannata, G. 299 Juchelková, D. 242 Rutigliano, T. 132, 346Cao, J. 27 Kanduč, T. 261 Sala, C. 153 Čápek, P. 212, 239 Khalid, J. M. M. S. 56 Saleha, N. 370 Castellani, G. 153 Kiguradze, Z. 50 Şandru, V. 204 Çavuş, M. 395, 411 Kimura, K. 117 Sezer, A. 395 Çenesiz, Y. 195 Kožíšek, F. 332 Shitikova, M. V. 56 Chattopadhyay, B. 318 Král, E. 212, 239 Silva, I. R. 65 Coad, D. S. 40 Kubo, A. 117 Slegr, J. 286 Constantinescu, C.-G. 204 Kurt, A. 195 Sokolov, S. 295 Cordoni, F. 43 Lasaponara, F. 299 Son, M. S. 139 Costarelli, D. 256 Linchuk, L. 77 Sorropago, C. 401 De Marco, A. 360 Lototsky, V. A. 307 Stan, C. 164, 225De, S. K. 318 Lukinov, V. 101 Starostin, N. V. 252 Di Persio, L. 43 Maggiore, P. 171 Tonchev, K. 295 Di Schio, E. R. 219 Mainardi, F. 35 Trifonenkov, V. P. 252 Diele, F. 188 Marangi, C. 188 Valjarevic, D. 183 Divari, M. 96 Maximov, E. M. 307 Vedova, M. D. L. D. 171 Do Valle, I. F. 153 Miccio, M. 242 Villa, E. 84 Dunin, S. Z. 252 Mirasyedioglu, S. 91 Vinti, G. 199, 256Fabrizio, M. 105 Nagornov, O. V. 252 Visconti, A. 242 Fadela, N. 370 Oprea, R. A. 164, 225 Vitali, S. 153 Ferrarotti, A. 132 Orsingher, E. 337 Vittadini, G. 123 Ferretti, E. 322 Othman, K. B. 354 Vivona, D. 96 Fiorini, R. A. 385 Özdemir, O. 411 Yazici, B. 395 Flegontov, A. 77 Pace, L. 171 Yousef, A. S. 139 Gallerano, F. 299 Pennoni, F. 123 Zaitsev, V. 77 Garra, R. 337 Perminov, V. 157 Zapletal, D. 286 Garrappa, R. 70 Petrovic, L. 183 Zhang, W. 27, 127Giampieri, E. 153 Piazzo, L. 379 Giusti, A. 35 Pizzi, R. 132, 346

Recent Advances in Applied Mathematics, Modelling and Simulation

ISBN: 978-960-474-398-8 418