2nd Edition
Computational Mathematics Models, Methods, and Analysis with MATLAB� and MPI, Second Edition
Discrete Time–Space Models
Newton Cooling Models
Heat Diffusion in a Wire
Diffusion in a Wire with Little Insulation
Flow and Decay of a Pollutant in a Stream
Heat and Mass Transfer in Two Directions
Convergence Analysis
Steady-State Discrete Models
Steady-State and Triangular Solves
Heat Diffusion and Gauss Elimination
Cooling Fin and Tridiagonal Matrices
Schur Complement
Convergence to Steady-State
Convergence to Continuous Model
Poisson Equation Models
Steady-State and Iterative Methods
Heat Transfer in 2D Fin and SOR
Fluid Flow in a 2D Porous Medium
Ideal Fluid Flow
Deformed Membrane and Steepest Descent
Conjugate Gradient Method
Nonlinear and 3D Models
Nonlinear Problems in One Variable
Nonlinear Heat Transfer in a Wire
Nonlinear Heat Transfer in 2D
Steady-State 3D Heat Diffusion
Time-Dependent 3D Diffusion
High-Performance Computations in 3D
FEM and Fluid Flows
FEM and Linear Shape Functions
FEM with Heat and Fluid Flow
Lax–Wendroff Methods
Shallow Water Wave Model
Navier–Stokes Equations
Discrete Navier–Stokes Equations
Epidemics, Images, and Money
Epidemics and Dispersion
Epidemic Dispersion in 2D
Image Restoration
Restoration in 2D
Option Contract Models
Black—Scholes Model for Two Assets
High-Performance Computing
CPUs and Vector Pipes
Multiprocessor and Multicore Computers
Parallel MATLAB
Parallel MATLAB and SPMD
Introduction to MPI
MPI and Matrix Products
Message Passing Interface
Collective Subroutines
Grouped Datatypes
Communicators
Fox Algorithm for AB
Shared Memory and OpenMP
Hybrid MPI/OpenMP
Classical Methods for Ax = d
Gauss Elimination
Symmetric Positive Definite Matrices
Domain Decomposition and MPI
SOR and P-Regular Splittings
SOR and MPI
Parallel ADI Schemes
Krylov Methods for Ax = d
Conjugate Gradient Method
Preconditioners
PCG and MPI
Least Squares
GMRES
GMRES(m) and MPI
Biography
Robert E. White (North Carolina State University, Raleigh, USA)
