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Tensor Spaces and Numerical Tensor Calculus (Hardcover, 2012 ed.)
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Tensor Spaces and Numerical Tensor Calculus (Hardcover, 2012 ed.)
Series: Springer Series in Computational Mathematics, 42
Expected to ship within 10 - 15 working days
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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 DEGREESd,
where n DEGREESd 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
coefficie
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