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Tensor Spaces and Numerical Tensor Calculus: 56 (Springer Series in Computational Mathematics) - Hardcover
Inhaltsangabe
Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.
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Über die Autorin bzw. den Autor
Wolfgang Hackbusch is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.
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Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.
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- VerlagSpringer
- Erscheinungsdatum2020
- ISBN 10 3030355535
- ISBN 13 9783030355531
- EinbandTapa dura
- SpracheEnglisch
- Auflage2
- Anzahl der Seiten636
- Kontakt zum HerstellerNicht verfügbar
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TENSOR SPACES AND NUMERICAL TENSOR CALCULUS,
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Tensor Spaces and Numerical Tensor Calculus
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ISBN 10: 3030355535
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph on this subject in the field of numerical mathematicsCovers algebraic and functional analysis aspects of tensor spacesFocuses on the numerical treatmentWolfgang Hackbusch is working in the fi. Bestandsnummer des Verkäufers 448680094
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Tensor Spaces and Numerical Tensor Calculus
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Tensor Spaces and Numerical Tensor Calculus
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Buch. Zustand: Neu. Neuware -Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×.× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 636 pp. Englisch. Bestandsnummer des Verkäufers 9783030355531
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Tensor Spaces and Numerical Tensor Calculus
Verlag:
Springer International Publishing, 2020
ISBN 10: 3030355535
ISBN 13: 9783030355531
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×.× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includesnew parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra. Bestandsnummer des Verkäufers 9783030355531
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Tensor Spaces and Numerical Tensor Calculus
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ISBN 10: 3030355535
ISBN 13: 9783030355531
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×.× n=nd, where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includesnew parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra. 636 pp. Englisch. Bestandsnummer des Verkäufers 9783030355531
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Tensor Spaces and Numerical Tensor Calculus (Springer Series in Computational Mathematics, 56)
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