Artificial Boundary Method

• Main Authors: Han, Houde. (Author), Wu, Xiaonan. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Subjects: Mathematics.; Computer science > Mathematics.; Computer science.; Engineering mathematics.; Computational Mathematics and Numerical Analysis.; Computational Science and Engineering.; Appl.Mathematics/Computational Methods of Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-35464-9

"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...

Table of Contents:

• Global artificial boundary conditions of second order elliptic differential equations
• Global artificial boundary conditions of Navie Equations and Stokes Equations
• Global artificial boundary conditions of heat equation and Schrodinger Equation
• Fully absorbing boundary conditions of wave equations, Klein-Gordan Equation and linear KdV Equation
• Discrete artificial boundary conditions
• Local artificial boundary conditions
• Implicit artificial boundary conditions
• Nonlinear artificial boundary conditions
• Applications.