COMPUTATIONAL MATHEMATICS 2nd edition by Robert White – Ebook PDF Instant Download/Delivery: 1482235153, 978-1482235159
Full download COMPUTATIONAL MATHEMATICS 2nd edition after payment
Product details:
ISBN 10: 1482235153
ISBN 13: 978-1482235159
Author: Robert White
Computational Mathematics: Models, Methods, and Analysis with MATLAB® 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® 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.
COMPUTATIONAL MATHEMATICS 2nd Table of contents:
Introduction
1 Discrete Time–Space Models
1.1 Newton Cooling Models
1.2 Heat Diffusion in a Wire
1.3 Diffusion in a Wire with Little Insulation
1.4 Flow and Decay of a Pollutant in a Stream
1.5 Heat and Mass Transfer in Two Directions
1.6 Convergence Analysis
2 Steady-State Discrete Models
2.1 Steady-State and Triangular Solves
2.2 Heat Diffusion and Gauss Elimination
2.3 Cooling Fin and Tridiagonal Matrices
2.4 Schur Complement
2.5 Convergence to Steady-State Solution
2.6 Convergence to Continuous Model
3 Poisson Equation Models
3.1 Steady-State and Iterative Methods
3.2 Heat Transfer in 2D Fin and SOR
3.3 Fluid Flow in a 2D Porous Medium
3.4 Ideal Fluid Flow
3.5 Deformed Membrane and Steepest Descent
3.6 Conjugate Gradient Method
4 Nonlinear and 3D Models
4.1 Nonlinear Problems in One Variable
4.2 Nonlinear Heat Transfer in a Wire
4.3 Nonlinear Heat Transfer in 2D
4.4 Steady-State 3D Heat Diffusion
4.5 Time–Dependent 3D Diffusion
4.6 High-Performance Computations in 3D
5 FEM and Fluid Flows
5.1 FEM and Linear Shape Functions
5.2 FEM with Heat and Fluid Flow
5.3 Lax–Wendroff Methods
5.4 Shallow Water Wave Model
5.5 Navier–Stokes Equations
5.6 Discrete Navier–Stokes Equations
6 Epidemics, Images, and Money
6.1 Epidemics and Dispersion
6.2 Epidemic Dispersion in 2D
6.3 Image Restoration
6.4 Restoration in 2D
6.5 Option Contract Models
6.6 Black–Scholes Model for Two Assets
7 High-Performance Computing
7.1 CPUs and Vector Pipes
7.2 Multiprocessor and Multicore Computers
7.3 Parallel MATLAB®
7.4 Parallel MATLAB and SPMD
7.5 Introduction to MPI
7.6 MPI and Matrix Products
8 Message Passing Interface
8.1 Collective Subroutines
8.2 Grouped Datatypes
8.3 Communicators
8.4 Fox Algorithm for AB
8.5 Shared Memory and OpenMP
8.6 Hybrid MPI/OpenMP
9 Classical Methods for Ax = d
9.1 Gauss Elimination
9.2 Symmetric Positive Definite Matrices
9.3 Domain Decomposition and MPI
9.4 SOR and P-Regular Splittings
9.5 SOR and MPI
9.6 Parallel ADI Schemes
10 Krylov Methods for Ax = d
10.1 Conjugate Gradient Method
10.2 Preconditioners
10.3 PCG and MPI
10.4 Least Squares
10.5 GMRES
10.6 GMRES(m) and MPI
Bibliography
Index
People also search for COMPUTATIONAL MATHEMATICS 2nd:
computational mathematics models methods and analysis with matlab and mpi
computational modeling techniques
computational model vs mathematical model
computational and mathematical methods
what is computational modeling