Artificial Boundary Method
By: by Houde Han, Xiaonan Wu
Contributors: Wu, Xiaonan; SpringerLink (Online service)
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 423
ISBN-13: 9783642354649
Subjects: Appl.Mathematics/Computational Methods of Engineering; Engineering mathematics; Computational Mathematics and Numerical Analysis; Mathematics; Computational Science and Engineering; Computer science
Description: "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, Schrodinger, 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.
Table of contents: title: Global artificial boundary conditions of second order elliptic differential equations; title: Global artificial boundary conditions of Navie Equations and Stokes Equations; title: Global artificial boundary conditions of heat equation and Schrodinger Equation; title: Fully absorbing boundary conditions of wave equations, Klein-Gordan Equation and linear KdV Equation; title: Discrete artificial boundary conditions; title: Local artificial boundary conditions; title: Implicit artificial boundary conditions; title: Nonlinear artificial boundary conditions; title: Applications.