Computational
Mathematics: Models, Methods and Analysis
with
MATLAB and MPI
by
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
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:
MATLAB,
Fortran 9x, C and MPI Codes
Book Updates This link contains errata, clarifications and additional material for each chapter. Contributions are welcome.