Lecture Notes in Physics Monographs

Polynomial Approximation of Differential Equations

Authors: Funaro, Daniele

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About this book

This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap­ plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be­ ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com­ prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook £63.99
price for United Kingdom (gross)
  • ISBN 978-3-540-46783-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover £79.99
price for United Kingdom (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Polynomial Approximation of Differential Equations
Authors
Series Title
Lecture Notes in Physics Monographs
Series Volume
8
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46783-0
DOI
10.1007/978-3-540-46783-0
Softcover ISBN
978-3-662-13878-6
Series ISSN
0940-7677
Edition Number
1
Number of Pages
X, 305
Number of Illustrations
3 b/w illustrations
Topics