Generalized difference methods for differential equations : numerical analysis of finite volume methods
著者
書誌事項
Generalized difference methods for differential equations : numerical analysis of finite volume methods
（Monographs and textbooks in pure and applied mathematics, 226）
Marcel Dekker, c2000
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注記
Bibliography: p. 421-437
Includes index
内容説明・目次
内容説明
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.
目次
- 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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