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【转贴】Spectral Methods for Time-Dependent Problems
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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics) By Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb, Publisher: Cambridge University Press Number Of Pages: 284 Publication Date: 2007-01-15 Sales Rank: 271306 ISBN / ASIN: 0521792118 EAN: 9780521792110 Binding: Hardcover Manufacturer: Cambridge University Press Studio: Cambridge University Press passwords:googlefanx  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 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. http://rapidshare.com/files/53723628/0521792118.rar [ Last edited by laizuliang on 2007-9-8 at 08:43 ] |
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