| 书目名称 | Spectral Methods | | 副标题 | Fundamentals in Sing | | 编辑 | Claudio Canuto,M. Youssuff Hussaini,Thomas A. Zang | | 视频video | | | 概述 | The most comprehensive and up-to-date theory and state-of-the-art algorithms of spectral methods.The authors pioneered Spectral Methods in Fluid Dynamics Calculations.This was their theme in the 1988 | | 丛书名称 | Scientific Computation | | 图书封面 |  | | 描述 | .Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applicatio | | 出版日期 | Book 2006 | | 关键词 | Compressible Flows; Fourier Approximation; Galerkin Approximation; High-Order Methods; Incompressible Fl | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-30726-6 | | isbn_softcover | 978-3-642-06800-3 | | isbn_ebook | 978-3-540-30726-6Series ISSN 1434-8322 Series E-ISSN 2198-2589 | | issn_series | 1434-8322 | | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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发表于 2025-3-21 18:22:55
