Overview
Introduces the world of multivariate GLT sequences and their numerous applications
Offers several tutorial applications that help readers become familiar with multivariate GLT sequences
Includes a concise summary of the theory of multivariate GLT sequences
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Table of contents (8 chapters)
Keywords
About this book
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.Reviews
“This book can be useful to mathematicians, theoreticians and to applicants involved in numerical methods.” (Serge˘ı Grudski˘i, Mathematical Reviews, March 2, 2020)
Authors and Affiliations
About the authors
Dr. Carlo Garoni graduated in Mathematics at the University of Insubria (Italy) in 2011 and received his Ph.D. in Mathematics at the same university in 2015. He has pursued research at the Universities of Insubria and Rome “Tor Vergata”, and he now has a Marie-Curie postdoctoral position at the USI University of Lugano (Switzerland). He has published about 25 research papers in different areas of Mathematics, most of which are connected with the theory of GLT sequences and its applications.
Prof. Stefano Serra-Capizzano is a Full Professor of Numerical Analysis, Deputy Rector of the University of Insubria (Italy), and a long-term Visiting Professor at Uppsala University (Sweden). He has authored over 200 research papers in different areas of Mathematics, with more than 90 collaborators all over the world, and he has recently won a Prodi Chair Professorship in Nonlinear Analysis at Würzburg University (Germany). He is the founder of the Ph.D. program “Mathematics of Computation” at the University of Insubria’s Department of Science and High Technology.
Bibliographic Information
Book Title: Generalized Locally Toeplitz Sequences: Theory and Applications
Book Subtitle: Volume II
Authors: Carlo Garoni, Stefano Serra-Capizzano
DOI: https://doi.org/10.1007/978-3-030-02233-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-02232-7Published: 27 December 2018
eBook ISBN: 978-3-030-02233-4Published: 08 December 2018
Edition Number: 1
Number of Pages: XI, 194
Number of Illustrations: 1 b/w illustrations
Topics: Numerical Analysis, Linear and Multilinear Algebras, Matrix Theory, Partial Differential Equations, Operator Theory, Measure and Integration