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[Springer Series in Computational Mathematics] Tensor Spaces and Numerical Tensor Calculus Volume 42 || Minimal Subspaces

โœ Scribed by Hackbusch, Wolfgang

Book ID
120222268
Publisher
Springer Berlin Heidelberg
Year
2012
Tongue
German
Weight
360 KB
Edition
1st
Category
Article
ISBN
3642280277

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โœฆ Synopsis

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. โ€‹

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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