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Generalized Locally Toeplitz Sequences: Theory and Applications - Volume I (Hardcover, 1st ed. 2017)
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Generalized Locally Toeplitz Sequences: Theory and Applications - Volume I (Hardcover, 1st ed. 2017)
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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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