Tensor Spaces and Numerical Tensor Calculus
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 trea...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2012, 2012
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| Edition: | 1st ed. 2012 |
| Series: | Springer Series in Computational Mathematics
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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 |
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| Physical Description: | XXIV, 500 p online resource |
| ISBN: | 9783642280276 |