Opis: Computational Mathematics - Robert White

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 code in practical ways, students take their first steps toward more sophisticated numerical modeling.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

Szczegóły: Computational Mathematics - Robert White

Tytuł: Computational Mathematics
Autor: Robert White
Producent: Apple
ISBN: 9781482235159
Rok produkcji: 2015
Ilość stron: 500
Oprawa: Twarda
Waga: 0.84 kg

Recenzje: Computational Mathematics - Robert White