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9783540761259

Numerical Methods for Partial Differential Equations

by ;
  • ISBN13:

    9783540761259

  • ISBN10:

    354076125X

  • Format: Paperback
  • Copyright: 1999-06-01
  • Publisher: Springer Verlag
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Summary

The subject of partial differential equations holds an exciting place in mathematics. Inevitably, the subject falls into several areas of mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest to find useful solutions, either analytically or numerically, to these important equations which can be used in design and construction. The book presents a clear introduction of the methods and underlying theory used in the numerical solution of partial differential equations. After revising the mathematical preliminaries, the book covers the finite difference method of parabolic or heat equations, hyperbolic or wave equations and elliptic or Laplace equations. Throughout, the emphasis is on the practical solution rather than the theoretical background, without sacrificing rigour.

Table of Contents

Background Mathematics
Finite Differences and Parabolic Equations
Hyperbolic Equations and Characteristics
Elliptic Equations
Finite Element Method for Ordinary Differential Equations
Finite Elements
Appendix
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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