Polynomial Approximation of Differential Equations (Lecture Notes in Physics Monographs)

Daniele Funaro

ISBN 10: 3662138786 / ISBN 13: 9783662138786

Published by Springer, 2014

About this Item

reprint edition. 303 pages. 9.25x6.75x0.50 inches. In Stock. Seller Inventory # x-3662138786

Bibliographic Details

Title: Polynomial Approximation of Differential ...

Publisher: Springer

Publication Date: 2014

Binding: Paperback

Condition: Brand New

About this title

Synopsis:

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.