Tensor Spaces and Numerical Tensor Calculus

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Mathematics - Numerical Analysis
Tensor Spaces and Numerical Tensor...

Tensor Spaces and Numerical Tensor Calculus

Name: Tensor Spaces and Numerical Tensor Calculus
ISBN: 9783642280269

Wolfgang Hackbusch (auth.)

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Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d 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. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc.

श्रेणियाँ:

Mathematics - Numerical Analysis

खंड:

साल:

2012

संस्करण:

प्रकाशन:

Springer-Verlag Berlin Heidelberg

भाषा:

english

पृष्ठ:

500