MARC状态:待编 文献类型:电子图书 浏览次数:22
- 题名/责任者:
- Generalized Locally Toeplitz Sequences: Theory and Applications Volume II / by Carlo Garoni, Stefano Serra-Capizzano.
- 版本说明:
- 1st ed. 2018.
- 出版发行项:
- Cham : Springer International Publishing : Imprint: Springer, 2018.
- ISBN:
- 9783030022334
- 其它标准号:
- 10.1007/978-3-030-02233-4
- 载体形态项:
- XI, 194 p. 1 illus. online resource.
- 主文献:
- Springer eBooks
- 其他载体形态:
- Printed edition: 9783030022327
- 其他载体形态:
- Printed edition: 9783030022341
- 个人责任者:
- Garoni, Carlo. author.
- 附加个人名称:
- Serra-Capizzano, Stefano. author.
- 附加团体名称:
- SpringerLink (Online service)
- 论题主题:
- Numerical analysis.
- 论题主题:
- Matrix theory.
- 论题主题:
- Algebra.
- 论题主题:
- Operator theory.
- 论题主题:
- Measure theory.
- 论题主题:
- Numerical Analysis.
- 论题主题:
- Operator Theory.
- 论题主题:
- Measure and Integration.
- 内容附注:
- 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.
- 摘要附注:
- 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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