Spectral Methods for Time-Dependent Problems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Hesthaven, Jan S./ Gottlieb, Sigal/ Gottlieb, David 作者

Cambridge Univ Pr

译者

2007-1 出版日期

284 页数

$ 119.78 价格

HRD

丛书系列

9780521792110 图书编码

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Spectral Methods for Time-Dependent Problems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

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