Format:
Online-Ressource (XI, 194 p. 1 illus, online resource)
Edition:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783030022334
Series Statement:
SpringerLink
Content:
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
Content:
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
Additional Edition:
ISBN 9783030022327
Additional Edition:
ISBN 9783030022341
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-3-030-02232-7
Additional Edition:
Printed edition ISBN 9783030022327
Additional Edition:
Printed edition ISBN 9783030022341
Language:
English
DOI:
10.1007/978-3-030-02233-4
URL:
Volltext
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