Generalized locally Toeplitz sequences [Documento electrónico] : theory and applications = Volume II / Carlo Garoni, Stefano Serra-Capizzano
Language: eng.Country: US - United States of America.Publication: Cham : Springer International Publishing, Springer, 2018Description: XI, 194 p. : il.ISBN: 978-3-030-02233-4.Subject - Topical Name: Análise numérica | Teoria Matrix | 3647 | Teoria dos operadores | 4515Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA297. FCT 98083 Numerical methods for PDEs, state of the art techniques | QA297. FCT 98109 Free boundary problems, regularity properties near the fixed boundary | QA297. FCT 98129 Saddle-point problems and their iterative solution | QA297. FCT 98188 Generalized locally Toeplitz sequences, theory and applications | QA297. FCT 98235 Real and complex analysis | QA297. FCT 98314 An introduction to nonlinear analysis and fixed point theory | QA297. FCT 98456 Variational source conditions, quadratic inverse problems, sparsity promoting regularization, new results in modern theory of inverse problems and an application in laser optics |
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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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