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Tensor Spaces and Numerical Tensor Calculus (Paperback, 2nd ed. 2019)
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Tensor Spaces and Numerical Tensor Calculus (Paperback, 2nd ed. 2019)
Series: Springer Series in Computational Mathematics, 56
Expected to ship within 10 - 15 working days
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Special numerical techniques are already needed to deal with n x n
matrices for large n. Tensor data are of size n x n x...x n=nd,
where nd 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. This
monograph describes the methods by which tensors can be practically
treated and shows how numerical operations can be performed.
Applications include problems from quantum chemistry, approximation
of multivariate functions, solution of partial differential
equations, for example with stochastic coefficients, and more. In
addition to containing corrections of the unavoidable misprints,
this revised second edition includes new parts ranging from single
additional statements to new subchapters. The book is mainly
addressed to numerical mathematicians and researchers working with
high-dimensional data. It also touches problems related to
Geometric Algebra.
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