Computational Mathematics: Models, Methods and Analysis

with

MATLAB and MPI

 

by

R. E. White

Department of Mathematics

North Carolina State University

white@math.ncsu.edu

 

Front Matter (toc, figures (73), tables (24), preface and introduction)

 

There are 323 exercises with computations varying parameters, model variations and mathematical analysis.

 

This book illustrates the evolution of models such as 1D, 2D and 3D temperatures in a cooling fin.

 
 

 

 

 

 

 

 

 

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


This book has a variety of applications including:

           

            Hydraulic pressure with two wells in saturated porous medium

 
 

 

 

 

 

 

 

 

 

 

 


Concentration of a pollutant plume in 3D

 
 

 

 

 

 

 

 

 

 

 

 

 


            Value of an American put option contract

 
 

 

 

 

 

 

 

 

 

 

 

 


            Image restoration

 
 

 

 

 

 

 

 

 

 

 

 

 

 


It introduces parallel programming and message passing interface (MPI). It has

a number of MPI codes illustrating basic MPI subroutines. Many of the applications are

revisited from a parallel algorithm perspective. MPI versions of matrix products, explicit methods,

SOR, domain-decomposition, PCG and GMRES are given.

 
 

 

 

 

 

 

 

 

 

 

 

 

 


Back Matter (references (29) and index)

 

Some images taken from Microsoft Encarta:

 

            Heat transfer

            Pollution

 

 

MATLAB, Fortran 9x, C and MPI Codes

 

Book Updates This link contains errata, clarifications and additional material for each chapter. Contributions are welcome.