Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=nsubd, where nsubd 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 shastic coefficients, etc.
Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=nsubd, where nsubd 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 shastic coefficients, etc.
Tensor Spaces and Numerical Tensor Calculus
500Tensor Spaces and Numerical Tensor Calculus
500Product Details
ISBN-13: | 9783642280269 |
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Publisher: | Springer Berlin Heidelberg |
Publication date: | 02/24/2012 |
Series: | Springer Series in Computational Mathematics , #42 |
Edition description: | 2012 |
Pages: | 500 |
Product dimensions: | 6.10(w) x 9.25(h) x 0.05(d) |