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Tensor Spaces and Numerical Tensor Calculus
Wolfgang Hackbusch
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Description for Tensor Spaces and Numerical Tensor Calculus
Hardback. This book 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 pde and more. Series: Springer Series in Computational Mathematics. Num Pages: 524 pages, biography. BIC Classification: PBKS; PHU; PNRP. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 33. Weight in Grams: 943.
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.
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.
Product Details
Format
Hardback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
524
Condition
New
Series
Springer Series in Computational Mathematics
Number of Pages
500
Place of Publication
Berlin, Germany
ISBN
9783642280269
SKU
V9783642280269
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Wolfgang Hackbusch
The author is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.
Reviews for Tensor Spaces and Numerical Tensor Calculus
“The present book Tensor spaces and numerical tensor calculus by Wolfgang Hackbusch to a large extent fills the gap between theory on finite-dimensional tensor spaces and tensor computations. It also gives a comprehensive overview of numerical tensor computations. … the book is most useful as a (very rich) source book for researchers in the area. It might also be used ... Read more