# Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI

CRC Press, Sep 17, 2003 - Mathematics - 408 pages
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abundance of MATLAB code. By studying the code instead of using it as a "black box, " you take the first step toward more sophisticated numerical modeling. The last four chapters focus on multiprocessing algorithms implemented using message passing interface (MPI). These chapters include Fortran 9x codes that illustrate the basic MPI subroutines and revisit the applications of the previous chapters from a parallel implementation perspective. All of the codes are available for download from www4.ncsu.edu./~white.

This book is not just about math, not just about computing, and not just about applications, but about all three--in other words, computational science. Whether used as an undergraduate textbook, for self-study, or for reference, it builds the foundation you need to make numerical modeling and simulation integral parts of your investigational toolbox.

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An exceptional book , with lucid explanations of applied mathematics . The author's knowledge in applied computational programming is excellent . The Kryolov methods given the last chapter was helpful for developing a 3D code in my master thesis in computation of fluid flow. The MPI programs are worth trying and gives deep insights to High performance computing /Parallel Programming.

### Contents

 Introduction xv Chapter 1 Discrete TimeSpace Models 1 Chapter 2 Steady State Discrete Models 51 Chapter 3 Poisson Equation Models 99 Chapter 4 Nonlinear and 3D Models 145 Chapter 5 Epidemics Images and Money 189 Chapter 6 High Performance Computing 237
 Chapter 7 Message Passing Interface 275 Chapter 8 Classical Methods for Ax d 313 Chapter 9 Krylov Methods for Ax d 345 Bibliography 379 Index 381 Copyright