Finite element methods for integrodifferential equations

著者

    • Chen, Chuanmiao
    • Shih, Tsimin

書誌事項

Finite element methods for integrodifferential equations

by Chen Chuanmiao and Shih Tsimin

(Series on applied mathematics, v. 9)

World Scientific, c1998

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Recently, there has appeared a new type of evaluating partial differential equations with Volterra integral operators in various practical areas. Such equations possess new physical and mathematical properties. This monograph systematically discusses application of the finite element methods to numerical solution of integrodifferential equations. It will be useful for numerical analysts, mathematicians, physicists and engineers. Advanced undergraduates and graduate students should also find it beneficial.

目次

  • Some practical problems and their properties
  • parabolic integrodifferential equations
  • a survey of elliptic finite elements
  • semidiscrete and fully discrete schemes
  • saving of storage
  • the case with nonsmooth initial values
  • the case with weakly singular kernel
  • long-time estimates
  • maximum norm estimates
  • superconvergence
  • nonlinear problems
  • hyperbolic problems
  • problems with positive memory.

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