Generalized Locally Toeplitz Sequences:
β Carlo Garoni, Stefano Serra-Capizzano
π Library
π
2017
π Springer
π English
β¦ LIBER β¦
π
Generalized Locally Toeplitz Sequences: Theory and Applications: Volume II
β Scribed by Carlo Garoni, Stefano Serra-Capizzano
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 199
- Edition
- 1st ed.
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Based on the authorsβ 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.β¦ Table of Contents
Front Matter ....Pages i-xi
Notes to the Reader (Carlo Garoni, Stefano Serra-Capizzano)....Pages 1-1
Mathematical Background (Carlo Garoni, Stefano Serra-Capizzano)....Pages 3-38
Multilevel Toeplitz Sequences (Carlo Garoni, Stefano Serra-Capizzano)....Pages 39-59
Multilevel Locally Toeplitz Sequences (Carlo Garoni, Stefano Serra-Capizzano)....Pages 61-90
Multilevel Generalized Locally Toeplitz Sequences (Carlo Garoni, Stefano Serra-Capizzano)....Pages 91-110
Summary of the Theory (Carlo Garoni, Stefano Serra-Capizzano)....Pages 111-120
Applications (Carlo Garoni, Stefano Serra-Capizzano)....Pages 121-177
Future Developments (Carlo Garoni, Stefano Serra-Capizzano)....Pages 179-181
Back Matter ....Pages 183-194
β¦ Subjects
Mathematics; Numerical Analysis; Linear and Multilinear Algebras, Matrix Theory; Partial Differential Equations; Operator Theory; Measure and Integration
π SIMILAR VOLUMES
Generalized Locally Toeplitz Sequences:
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