Download Tensor Spaces and Numerical Tensor Calculus: 42 (Springer by Wolfgang Hackbusch PDF

By Wolfgang Hackbusch

detailed numerical ideas are already had to take care of nxn matrices for big n.Tensor information are of dimension nxnx...xn=n^d, the place n^d exceeds the pc reminiscence by way of some distance. they seem for difficulties of excessive spatial dimensions. in view that general tools fail, a selected tensor calculus is required to regard such difficulties. The monograph describes the tools how tensors will be virtually handled and the way numerical operations might be played. functions are difficulties from quantum chemistry, approximation of multivariate features, answer of pde, e.g., with stochastic coefficients, etc.

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