Tensor Spaces and Numerical Tensor Calculus
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 a…
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Produktdetails
- ISBN: 978-3-030-35553-1
- EAN: 9783030355531
- Produktnummer: 33780131
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2020
- Seitenangabe: 636 S.
- Masse: H24.1 cm x B16.2 cm x D4.3 cm 1'136 g
- Auflage: 2nd ed. 2019
- Abbildungen: HC runder Rücken kaschiert
- Gewicht: 1136
Über 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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