1.

Record Nr.

UNINA9910303454203321

Autore

Garoni Carlo

Titolo

Generalized Locally Toeplitz Sequences: Theory and Applications : Volume II / / by Carlo Garoni, Stefano Serra-Capizzano

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-030-02233-1

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XI, 194 p. 1 illus.)

Disciplina

512.9434

Soggetti

Numerical analysis

Matrix theory

Algebra

Partial differential equations

Operator theory

Measure theory

Numerical Analysis

Linear and Multilinear Algebras, Matrix Theory

Partial Differential Equations

Operator Theory

Measure and Integration

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.