Polynomial Approximation of Differential Equations is popular PDF and ePub book, written by Daniele Funaro in 2008-10-04, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Polynomial Approximation of Differential Equations can be Read Online from any device for your convenience.
Polynomial Approximation of Differential Equations Book PDF Summary
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.
Detail Book of Polynomial Approximation of Differential Equations PDF
- Author : Daniele Funaro
- Release : 04 October 2008
- Publisher : Springer Science & Business Media
- ISBN : 9783540467830
- Genre : Science
- Total Page : 315 pages
- Language : English
- PDF File Size : 18,9 Mb
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