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GENERALIZED LOCALLY TOEPLITZ SEQUENCES: THEORY AND APPLICATIONS. VOLUME I
Título:
GENERALIZED LOCALLY TOEPLITZ SEQUENCES: THEORY AND APPLICATIONS. VOLUME I
Subtítulo:
Autor:
GARONI, C
Editorial:
SPRINGER VERLAG
Año de edición:
2017
Materia
MATEMATICA APLICADA
ISBN:
978-3-319-53678-1
Páginas:
312
118,97 €

 

Sinopsis

- Introduces readers into the world of GLT sequences and their applications
- Offers several applications with illustrations and numerical examples that help readers become familiar with GLT sequences
- Includes a concise summary of the theory of GLT sequences that allows readers to skip the full theory on first reading
- Contains the solutions to all the proposed exercises



Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, while the second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications.

This book systematically develops the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications, with a particular focus on the numerical discretization of differential equations (DEs). It is the first book to address the relatively new field of GLT sequences, which occur in numerous scientific applications and are especially dominant in the context of DE discretizations. 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 DE discretization matrices, matrix analysis, measure and operator theory, numerical analysis and linear algebra. Further, it can be used as a textbook for a graduate or advanced undergraduate course in numerical analysis.