✦ LIBER ✦

[Springer Series in Computational Mathematics] Spectral Methods Volume 41 || Volterra Integral Equations

✍ Scribed by Shen, Jie; Tang, Tao; Wang, Li-Lian

Book ID: 118031457
Publisher: Springer Berlin Heidelberg
Year: 2011
Tongue: German
Weight: 260 KB
Edition: 2011
Category: Article
ISBN: 3540710418
DOI: 10.1007/978-3-540-71041-7_5

No coin nor oath required. For personal study only.

✦ Synopsis

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

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