Advertisement

Generalized Locally Toeplitz Sequences: Theory and Applications

Volume II

  • Carlo Garoni
  • Stefano Serra-Capizzano

Table of contents

  1. Front Matter
    Pages i-xi
  2. Carlo Garoni, Stefano Serra-Capizzano
    Pages 1-1
  3. Carlo Garoni, Stefano Serra-Capizzano
    Pages 3-38
  4. Carlo Garoni, Stefano Serra-Capizzano
    Pages 39-59
  5. Carlo Garoni, Stefano Serra-Capizzano
    Pages 61-90
  6. Carlo Garoni, Stefano Serra-Capizzano
    Pages 91-110
  7. Carlo Garoni, Stefano Serra-Capizzano
    Pages 111-120
  8. Carlo Garoni, Stefano Serra-Capizzano
    Pages 121-177
  9. Carlo Garoni, Stefano Serra-Capizzano
    Pages 179-181
  10. Back Matter
    Pages 183-194

About this book

Introduction

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.

Keywords

Toeplitz and locally Toeplitz matrices PDE discretization matrices Asymptotic singular value and eigenvalue distribution Tensor (Kronecker) products and multilinear algebra Analysis

Authors and affiliations

  • Carlo Garoni
    • 1
  • Stefano Serra-Capizzano
    • 2
  1. 1.Department of Science and High TechnologyUniversity of InsubriaComoItaly
  2. 2.Department of Science and High TechnologyUniversity of InsubriaComoItaly

Bibliographic information

Industry Sectors
Aerospace
Oil, Gas & Geosciences
Engineering