EAN: 9783319536781

GENERALIZED LOCALLY TOEPLITZ SEQUENCES - CARLO ...

Based on their research experience  the authors propose a reference textbook in two volumes on
the theory of generalized locally Toeplitz sequences and their applications. This first volume
focuses on the univariate version of the theory and the related applications in the
unidimensional setting  while the second volume  which addresses the multivariate case  is
mainly devoted to concrete PDE applications. This book systematically develops the theory of
generalized locally Toeplitz (GLT) sequences and presents some of its main applications  with a
particular focus on the numerical discretization of differential equations (DEs). It is the
first book to address the relatively new field of GLT sequences  which occur in numerous
scientific applications and are especially dominant in the context of DE discretizations.
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 DE discretization
matrices  matrix analysis  measure and operator theory  numerical analysis and linear algebra.
Further  it can be used as a textbook for a graduate or advanced undergraduate course in
numerical analysis.

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