Polynomial Approximation of Differential Equations - Lecture Notes in Physics Monographs (Closed) - Daniele Funaro - 書籍 - Springer-Verlag Berlin and Heidelberg Gm - 9783662138786 - 2014年8月23日
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Daniele Funaro
Polynomial Approximation of Differential Equations - Lecture Notes in Physics Monographs (Closed) Softcover Reprint of the Original 1st Ed. 1992 edition

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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.

315 pages, 3 black & white illustrations, biography

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2014年8月23日
発売日 2013
ISBN13 9783662138786
出版社 Springer-Verlag Berlin and Heidelberg Gm
ページ数 305
寸法 170 × 244 × 17 mm   ·   512 g
言語 英語  

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