Generalized Locally Toeplitz Sequences: Theory and Applications : Volume II. 1st ed. 2018

種類:

電子ブック

責任表示:

by Carlo Garoni, Stefano Serra-Capizzano

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Garoni, Carlo.
• Serra-Capizzano, Stefano.
• SpringerLink (Online service)

ISBN:

9783030022334 [3030022331]    

注記:

1 Notes to the Reader -- 2 Mathematical Background -- 3 Multilevel Toeplitz Sequences -- 4 Multilevel Locally Toeplitz Sequences -- 5 Multilevel Generalized Locally Toeplitz Sequences -- 6 Summary of the Theory -- 7 Applications -- 8 Future Developments.
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 text

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