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9780898712988

Sinc Methods for Quadrature and Differential Equations

by ;
  • ISBN13:

    9780898712988

  • ISBN10:

    089871298X

  • Format: Hardcover
  • Copyright: 1992-06-01
  • Publisher: Society for Industrial & Applied

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Summary

Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for the presentation of the material allows them to present a number of the applications of the sinc method. Many of these applications are useful in numerical processes of interest quite independent of differential equations. Specifically, numerical interpolation and quadrature, while fundamental to the Galerkin development, are useful in their own right.

Table of Contents

Preliminary material
Numerical methods on the real line
Numerical methods on an arc 'Gamma'
The Sinc-Galerkin method
Steady problems
Time-dependent problems
Linear algebra
References
Table of Contents provided by Publisher. All Rights Reserved.

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