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Titlebook: Higher-Order Numerical Methods for Transient Wave Equations; Gary C. Cohen Book 2002 Springer-Verlag Berlin Heidelberg 2002 Finite Differe

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发表于 2025-3-21 17:50:59 | 显示全部楼层 |阅读模式
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Titlebook: Higher-Order Numerical Methods for Transient Wave Equations;  Gary C. Cohen Book 2002 Springer-Verlag Berlin Heidelberg 2002 Finite Differe
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
doihttps://doi.org/10.1007/978-3-662-04823-8
isbn_softcover978-3-642-07482-0
isbn_ebook978-3-662-04823-8Series ISSN 1434-8322 Series E-ISSN 2198-2589
issn_series 1434-8322
copyrightSpringer-Verlag Berlin Heidelberg 2002
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发表于 2025-3-21 23:05:51 | 显示全部楼层
Gary C. Cohenintings ofWilliam Merritt Chase whose glazing techniques demonstrate an artistic approach that honors fishes as sentient beings.978-3-030-78835-3978-3-030-78833-9Series ISSN 2634-6672 Series E-ISSN 2634-6680
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Gary C. Cohenintings ofWilliam Merritt Chase whose glazing techniques demonstrate an artistic approach that honors fishes as sentient beings.978-3-030-78835-3978-3-030-78833-9Series ISSN 2634-6672 Series E-ISSN 2634-6680
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downturn in the availability of suitable employment for both school and university leavers, the desirability of a vocational course such as (primary) teaching is on the increase. I suspect that the view of BA (Ed) Art students as less academically able than other students also has to do with the fa
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Gary C. Cohenof the argument resides in its fundamental commitment to democracy. This commitment is not only something shared by even diehard opponents of subsidy, but it also generates an especially apt reason for . involvement in the artworld improving democracy itself.
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Plane Wave SolutionsLet us consider the homogeneous wave equation..and the direct and inverse . in space.where i. = −1, . ∈ ℝ. and . ∈ ℝ..
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Construction of the Schemes in Homogeneous MediaWe want to approximate the wave equation (1.1) with the standard initial conditions (1.4). As a first step, we shall present schemes in ℝ. so that we do not have to deal with boundary conditions. Moreover, in this section, κand . will be assumed not to depend on position.
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