Generalized difference methods for differential equations : numerical analysis of finite volume methods

Author(s)

Bibliographic Information

Generalized difference methods for differential equations : numerical analysis of finite volume methods

Ronghua Li, Zhongying Chen, Wei Wu

(Monographs and textbooks in pure and applied mathematics, 226)

Marcel Dekker, c2000

Available at  / 38 libraries

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Note

Bibliography: p. 421-437

Includes index

Description and Table of Contents

Description

This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.

Table of Contents

  • Preliminaries
  • two point boundary value problems
  • second order elliptic equations
  • fourth order and nonlinear elliptic equations
  • parabolic equations
  • hyperbolic equations
  • convection-dominated diffusion problems
  • applications.

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