Computational Mathematics: Models, Methods and Analysis
MATLAB and MPI
R. E. White
Department of Mathematics
North Carolina State University
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
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: