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Computational Mathematics: Models, Methods, and Analysis with MATLAB® MPI,...

Product Details
 
Synopsis
Computational Mathematics: Models, Methods, and Analysis with MATLAB(r) and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requiring high-performance computing. The book shows how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. Providing a wealth of MATLAB, Fortran, and C++ code online for download, the Second Edition of this very popular text: Includes a new chapter with two sections on the finite element method, two sections on shallow water waves, and two sections on the driven cavity problem Introduces multiprocessor/multicore computers, parallel MATLAB, and message passing interface (MPI) in the chapter on high-performance computing Updates and adds code and documentation Computational Mathematics: Models, Methods, and Analysis with MATLAB(r) and MPI, Second Edition is an ideal textbook for an undergraduate course taught to mathematics, computer science, and engineering students. By using the code in practical ways, students take their first steps toward more sophisticated numerical modeling. Computational Mathematics: Models, Methods, and Analysis with Matlab and MPIis a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requiring high-performance computing. The book shows how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. Providing a wealth of MATLAB, Fortran, and C++ code online for download, the Second Edition of this very popular text: Includes a new chapter with two sections on the finite element method, two sections on shallow water waves, and two sections on the driven cavity problem Introduces multiprocessor/multicore computers, parallel MATLAB, and message passing interface (MPI) in the chapter on high-performance computing Updates and adds code and documentation Computational Mathematics: Models, Methods, and Analysis with Matlab and MPI, Second Editionis an ideal textbook for an undergraduate course taught to mathematics, computer science, and engineering students. By using code in practical ways, students take their first steps toward more sophisticated numerical modeling. Computational Mathematics: Models, Methods, and Analysis with MATLAB®and MPIis a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requiring high-performance computing. The book shows how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. Providing a wealth of MATLAB, Fortran, and C++ code online for download, the Second Edition of this very popular text: Includes a new chapter with two sections on the finite element method, two sections on shallow water waves, and two sections on the driven cavity problem Introduces multiprocessor/multicore computers, parallel MATLAB, and message passing interface (MPI) in the chapter on high-performance computing Updates and adds code and documentation Computational Mathematics: Models, Methods, and Analysis with MATLAB®and MPI, Second Edition is an ideal textbook for an undergraduate course taught to mathematics, computer science, and engineering students. By using code in practical ways, students take their first steps toward more sophisticated numerical modeling.This text is designed for mathematical modeling courses that teach programming with MATLAB(r). Many examples show how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. By using MATLAB code in a practical way instead of as a "black box," students take the first steps toward more sophisticated numerical modeling. The book also focuses on multiprocessing algorithms implemented using message passing interface (MPI). All of the codes are available for download online.


Product Identifiers
ISBN-10
1482235153
ISBN-13
9781482235159

Key Details
Author
Robert E. White
Number Of Pages
478 pages
Edition Description
Revised
Series
Textbooks in Mathematics
Format
ebook
Publication Date
2015-11-17
Language
English
Publisher
CRC Press LLC
Publication Year
2015


Additional Details
Edition Number
2
Copyright Date
2015
Illustrated
Yes


Dimensions
Weight
29.7 Oz
Height
1.3 In.
Width
6.3 In.
Length
9.4 In.


Target Audience
Group
College Audience


Classification Method
LCCN
2016-304815
LC Classification Number
QA377
Dewey Decimal
515/.3530285
Dewey Edition
23


Table Of Content
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

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