| 书目名称 | Dimensionality Reducing Expansion of Multivariate Integration | | 编辑 | Tian-Xiao He | | 视频video | | | 图书封面 |  | | 描述 | .Multivariate integration has been a fundamental subject in mathematics, with broad connections to a number of areas: numerical analysis, approximation theory, partial differential equations, integral equations, harmonic analysis, etc. In this work the exposition focuses primarily on a powerful tool that has become especially important in our computerized age, namely, dimensionality reducing expansion (DRE). The method of DRE is a technique for changing a higher dimensional integration to a lower dimensional one with or without remainder. To date, there is no comprehensive treatment of this subject in monograph or textbook form. ..Key features of this self-contained monograph include: ..* fine exposition covering the history of the subject ..* up-to-date new results, related to many fields of current research such as boundary element methods for solving PDEs and wavelet analysis ..* presentation of DRE techniques using a broad array of examples ..* good balance between theory and application ..* coverage of such related topics as boundary type quadratures and asymptotic expansions of oscillatory integrals ..* excellent and comprehensive bibliography and index ..This work will appea | | 出版日期 | Book 2001 | | 关键词 | Excel; approximation theory; harmonic analysis; numerical analysis; numerical integration; numerical quad | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-2100-5 | | isbn_softcover | 978-1-4612-7414-8 | | isbn_ebook | 978-1-4612-2100-5 | | copyright | Birkhäuser Boston 2001 |
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发表于 2025-3-21 18:41:26
