Publisher:

Chapman & Hall/CRC

Number of Pages:

364

Price:

89.95

ISBN:

9781420089042

Date Received:

Saturday, November 22, 2008

Reviewable:

No

Reviewer Email Address:

Series:

Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series

Publication Date:

2009

Format:

Hardcover with CDROM

Audience:

Category:

Textbook

The wave equations

The elliptic equations

Differential equations in broader areas

A quick review of numerical methods for PDEs

Introduction

Theoretical issues: stability, consistence, and convergence

1-D parabolic equations

2-D and 3-D parabolic equations

Numerical examples with MATLAB codes

Introduction

Some basic difference schemes

Dissipation and dispersion errors

Extensions to conservation laws

The second-order hyperbolic PDEs

Numerical examples with MATLAB codes

Introduction

Numerical solution of linear systems

Error analysis with a maximum principle

Some extensions

Numerical examples with MATLAB codes

1-D problems

High-dimensional problems

Other high-order compact schemes

Introduction to 1-D problems

Introduction to 2-D problems

Abstract finite element theory

Examples of conforming finite element spaces

Examples of nonconforming finite elements

Finite element interpolation theory

Finite element analysis of elliptic problems

Finite element analysis of time-dependent problems

Finite element method mesh generation

Forming finite element method equations

Calculation of element matrices

Assembly and implementation of boundary conditions

The MATLAB code for

The MATLAB code for the

An abstract formulation

Mixed methods for elliptic problems

Mixed methods for the Stokes problem

An example MATLAB code for the Stokes problem

Mixed methods for viscous incompressible flows

Introduction to Maxwell’s equations

The time-domain finite element method

The frequency-domain finite element method

Maxwell’s equations in dispersive media

Introduction

The radial basis functions

The MFS-DRM

Kansa’s method

Numerical examples with MATLAB codes

Coupling RBF meshless methods with DDM

Construction of meshless shape functions

The element-free Galerkin method

The meshless local Petrov–Galerkin method

Publish Book:

Modify Date:

Saturday, November 22, 2008

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