Overview
Artificial boundary method
Numerical solution of partial differential equations on unbounded domains
High effect computational schemes
Detailed theoretical analysis
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
"Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering.
Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Reviews
“The book under review is focused on this broad approach, and is a comprehensive guide to such artificial boundary conditions for many PDEs of interest. … The treatment is comprehensive as well as accessible, and the book is therefore invaluable both as a reference text and as the basis for a graduate course. … The book under review is a substantial and well-written contribution to the area, and will be a valuable resource for both researchers and students.” (Nilima Nigam, Mathematical Reviews, June, 2015)
“It is an important contribution, and its assembly in book form is beneficial to those who would like to study the subject. … The text is clear and easy to read. The book’s format is pleasant to the eye and inviting. … this book is a useful assembly of the authors’ work on exact ABCs and related topics, which provides the reader with a collection of mathematical tools for the design and analysis of such ABCs.” (Dan Givoli, SIAM Review, Vol. 56 (4), December, 2014)
Authors and Affiliations
Bibliographic Information
Book Title: Artificial Boundary Method
Authors: Houde Han, Xiaonan Wu
DOI: https://doi.org/10.1007/978-3-642-35464-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-35463-2Published: 05 August 2013
eBook ISBN: 978-3-642-35464-9Published: 13 April 2013
Edition Number: 1
Number of Pages: VIII, 423
Number of Illustrations: 17 b/w illustrations
Additional Information: Jointly published with Tsinghua University Press. Original Chinese edition published by Tsinghua University Press, 2009.
Topics: Computational Mathematics and Numerical Analysis, Computational Science and Engineering, Mathematical and Computational Engineering