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Sinc methods for quadrature and differential equations

by John Lind, Kenneth L. Bowers (Society for Industrial and Applied Mathematics, 1992)

 Abstract

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.
The intimate connection between collocation and Galerkin for the sinc basis is exposed via sinc-interpolation. The quadrature rules define a class of numerical integration methods that complement better known techniques, which in the case of singular integrands, often require modification. The sinc methodology of the text is illustrated on such applications as initial data recovery, heat diffusion, advective-diffusive transport, and Burgers' equation, to illustrate the numerical implementation of the theory discussed.
Engineers may find sinc methods a very competitive approach to the more common boundary element or finite element methods. Further, workers in the signal processing community may find this particular approach a refreshingly different view of the use of sinc functions.
Sinc approximation is a relatively new numerical technique. This book provides a much needed elementary level explanation. It has been used for graduate numerical classes at Montana State University and Texas Tech University.

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Collection Type : eBooks
Call Number : e20442942
Main entry-Personal name :
Additional entry-Personal name :
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Publishing : Philadelphia : Society for Industrial and Applied Mathematics, 1992
Responsibility Statement by John Lind, Kenneth L. Bowers
Language Code eng
Edition
Collection Source IG Publishing/IG Library
Cataloguing Source LibUI eng rda
Content Type text
Media Type computer
Carrier Type online resource
Physical Description x, 304 pages : illustration
Link http://portal.igpublish.com/iglibrary/search/?3
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e20442942 02-19-933590362 TERSEDIA
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