Artificial Boundary Method (人工边界方法)

作者:Houde Han(韩厚德),Xiaonan Wu(巫孝南)

定价:120元

印次:1-1

ISBN:9787302303909

出版日期:2012.12.01

印刷日期:2012.11.23

图书责编:陈朝晖

图书分类:零售

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内容简介 人工边界方法是求解无界区域上偏微分方程(组)数值解的一个重要和有效的方法。人工边界方法的核心问题是在人工边界上如何对已知的问题找出问题的解满足的准确 (或者高精度近似)的边界条件。借助于人工边界方法,我们可将无界区域上的问题简化为有界区域上的问题进行数值计算。本书系统地介绍了人工边界方法的计算格式及其理论基础。本书可以作为科学与工程计算专业研究生课程的教材,亦可以作为科学与工程计算专业科学技术人员的参考书。

Preface The artificial boundary method is an effective numerical method for solving partial differential equations on unbounded domains by applying artificial boundary conditions (ABCs) on the boundaries of the reduced bounded domains. With more than 30 years development, the artificial boundary method has reached maturity in recent years. It has been applied to various problems in scientific and engineering computations, and theoretical issues such as the convergence and error estimates of the artificial boundary method have been solved gradually. Based on the research works by the authors over many years and the works by other researchers, we have collected the methods and theories of t...

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Contents 

Introduction......................................................................................................1  References ...................................................................................................5 

Chapter 1 Global ABCs for Second Order Elliptic Equations.......................9 

1.1  Exterior Problem of Second Order Elliptic Equations .......................9 

1.2  Global ABCs for the Exterior Problem of 2-D Poisson Equation...............................................................................13 

1.2.1  Steklov-Poincar¨¦ Mapping for the Exterior Problem of Laplace Equation .............................................................. 查看详情

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