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Generalized locally Toeplitz sequenc...

Garoni, Carlo.

Generalized locally Toeplitz sequencestheory and applications.Volume II /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized locally Toeplitz sequencesby Carlo Garoni, Stefano Serra-Capizzano.
Reminder of title:	theory and applications.
Author:	Garoni, Carlo.
other author:	Serra-Capizzano, Stefano.
Published:	Cham :Springer International Publishing :2018.
Description:	xi, 194 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Toeplitz matrices.
Online resource:	https://doi.org/10.1007/978-3-030-02233-4
ISBN:	9783030022334$q(electronic bk.)

Generalized locally Toeplitz sequencestheory and applications.Volume II /
Garoni, Carlo.

Generalized locally Toeplitz sequencestheory and applications.Volume II /[electronic resource] :by Carlo Garoni, Stefano Serra-Capizzano. - Cham :Springer International Publishing :2018. - xi, 194 p. :ill., digital ;24 cm.

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 textbook for graduate or advanced undergraduate courses in numerical analysis.

ISBN: 9783030022334$q(electronic bk.)

Standard No.: 10.1007/978-3-030-02233-4doiSubjects--Topical Terms:

245432
Toeplitz matrices.

LC Class. No.: QA188 / .G376 2018

Dewey Class. No.: 512.9434

Generalized locally Toeplitz sequencestheory and applications.Volume II /
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245 1 0 $a Generalized locally Toeplitz sequences $h [electronic resource] : $b theory and applications. $n Volume II / $c by Carlo Garoni, Stefano Serra-Capizzano.
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505 0 $a 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.
520 $a 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.
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