Artificial Boundary Method

Authors: Han, Houde, Wu, Xiaonan

  • Artificial boundary method
  • Numerical solution of partial differential equations on unbounded domains
  • High effect computational schemes
  • Detailed theoretical analysis
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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)


Table of contents (10 chapters)

  • Introduction

    Han, Houde (et al.)

    Pages 1-7

  • Global ABCs for Second Order Elliptic Equations

    Han, Houde (et al.)

    Pages 9-60

  • Global ABCs for the Navier System and Stokes System

    Han, Houde (et al.)

    Pages 61-113

  • Global ABCs for Heat and Schrödinger Equations

    Han, Houde (et al.)

    Pages 115-188

  • ABCs for Wave Equation, Klein-Gordon Equation, and Linear KdV Equations

    Han, Houde (et al.)

    Pages 189-232

Buy this book

eBook n/a
  • ISBN 978-3-642-35464-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-642-35463-2
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Artificial Boundary Method
Authors
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights in China: Tsinghua University Press.
eBook ISBN
978-3-642-35464-9
DOI
10.1007/978-3-642-35464-9
Hardcover ISBN
978-3-642-35463-2
Edition Number
1
Number of Pages
VIII, 423
Number of Illustrations and Tables
17 b/w illustrations
Additional Information
Jointly published with Tsinghua University Press. Original Chinese edition published by Tsinghua University Press, 2009.
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