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Titlebook: Generalized Locally Toeplitz Sequences: Theory and Applications; Volume II Carlo Garoni,Stefano Serra-Capizzano Textbook 2018 Springer Natu

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書目名稱Generalized Locally Toeplitz Sequences: Theory and Applications
副標(biāo)題Volume II
編輯Carlo Garoni,Stefano Serra-Capizzano
視頻videohttp://file.papertrans.cn/383/382224/382224.mp4
概述Introduces the world of multivariate GLT sequences and their numerous applications.Offers several tutorial applications that help readers become familiar with multivariate GLT sequences.Includes a con
圖書封面Titlebook: Generalized Locally Toeplitz Sequences: Theory and Applications; Volume II Carlo Garoni,Stefano Serra-Capizzano Textbook 2018 Springer Natu
描述.Based on the authors’ research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications..This book systematically develops the multivariate version of the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications to the numerical discretization of partial differential equations (PDEs). Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of PDE discretization matrices, matrix analysis, numerical analysis, linear and multilinear algebra. Further, it can be used as a textbook for graduate or advanced undergraduate courses in numerical analysis.
出版日期Textbook 2018
關(guān)鍵詞Toeplitz and locally Toeplitz matrices; PDE discretization matrices; Asymptotic singular value and eig
版次1
doihttps://doi.org/10.1007/978-3-030-02233-4
isbn_ebook978-3-030-02233-4
copyrightSpringer Nature Switzerland AG 2018
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A. V. Hore,J. G. Kehoe,M. R. PentonThis chapter collects the necessary preliminaries to develop the multivariate version of the theory of GLT sequences. The reader is supposed to be familiar with the univariate version of the theory [22] and to possess a basic knowledge of multidimensional integro-differential calculus (partial derivatives, multiple integrals, etc.).
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Multilevel Generalized Locally Toeplitz Sequences,In this chapter we develop the multivariate version of the theory of GLT sequences, also known as the theory of multilevel GLT sequences, which dates back to the pioneering papers [35, 36] and was recently reviewed and extended in [21].
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