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.
About Daniele Funaro
Unfortunately, right now we cannot give you information regarding the Author Daniele Funaro. But this does not mean that any of us don't work on her behalf selection. In addition we ask that you simply allow us to in this particular make any difference. For those who have down time and require can greatly value in the event you tell you your data. Whenever obtaining this sort of comments and knowledge by customers about the Polynomial Approximation of Differential Equations (Lecture Notes in Physics Monographs Founder Daniele Funaro, we first the girl check. After many of us ensure that most true, simply post that. Most of us fully grasp this aid as well as many thanks upfront.Details Book
Author  :  Daniele Funaro 
Publisher  :  SpringerVerlag Berlin and Heidelberg GmbH 
Data Published  :  02 July 2013 
ISBN  :  3662138786 
EAN  :  9783662138786 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  305 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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