书目名称 | Higher-Order Numerical Methods for Transient Wave Equations |
编辑 | Gary C. Cohen |
视频video | |
概述 | No comparable text on the numerical treatment of wave equations is presently available.The author presents a host of modern numerical techniques of high accuracy and stability so far not accessible in |
丛书名称 | Scientific Computation |
图书封面 |  |
描述 | Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given. |
出版日期 | Book 2002 |
关键词 | Finite Difference Wave Equation; Finite Elements; Wave Propagation; calculus; electromagnetic wave; model |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-04823-8 |
isbn_softcover | 978-3-642-07482-0 |
isbn_ebook | 978-3-662-04823-8Series ISSN 1434-8322 Series E-ISSN 2198-2589 |
issn_series | 1434-8322 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |