EAN: 9783030022327

GENERALIZED LOCALLY TOEPLITZ SEQUENCES THEORY A...

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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