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Polynomial approximation of differential equations

Author: Daniele Funaro
Publisher: Berlin ; New York : Springer-Verlag, ©1992.
Series: Lecture notes in physics., New series m,, Monographs ;, m8.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book is a basic and comprehensive introduction to the use of spectral methods for the approximation of the solution to ordinary differential equations and time-dependent boundary-value problems. The algorithms are presented and studied both from the point of view of the theoreticalanalysis of convergence and the numerical implementation. Unlike other texts devoted to the subject this is a concise introduction  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Funaro, Daniele, 1958-
Polynomial approximation of differential equations.
Berlin ; New York : Springer-Verlag, ©1992
(DLC) 92008159
(OCoLC)25510349
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Daniele Funaro
ISBN: 9783540467830 3540467831
OCLC Number: 269210275
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (x, 303 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Special Families of Polynomials.- Orthogonality.- Numerical Integration.- Transforms.- Functional Spaces.- Results in Approximation Theory.- Derivative Matrices.- Eigenvalue Analysis.- Ordinary Differential Equations.- Time-Dependent Problems.- Domain-Decomposition Methods.- Examples.- An Example in Two Dimensions.
Series Title: Lecture notes in physics., New series m,, Monographs ;, m8.
Responsibility: Daniele Funaro.

Abstract:

This introduction to spectral methods for differential equations and time-dependent boundary-value problems gives the theoretical analysis of problems of convergence as well as numerical  Read more...

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