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Tensor Spaces and Numerical Tensor Calculus
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Tensor Spaces and Numerical Tensor Calculus Paperback - 2021

by Wolfgang Hackbusch


From the rear cover

Special numerical techniques are already needed to deal with n n matrices for large n. Tensor data are of size n n ... 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.

Details

  • Title Tensor Spaces and Numerical Tensor Calculus
  • Author Wolfgang Hackbusch
  • Binding Paperback
  • Pages 605
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2021-01-24
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9783030355562 / 303035556X
  • Weight 1.93 lbs (0.88 kg)
  • Dimensions 9.21 x 6.14 x 1.28 in (23.39 x 15.60 x 3.25 cm)

About the author

Wolfgang Hackbusch 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.
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Tensor Spaces and Numerical Tensor Calculus
Stock Photo: Cover May Be Different

Tensor Spaces and Numerical Tensor Calculus

by Wolfgang Hackbusch

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Tensor Spaces and Numerical Tensor Calculus
Stock Photo: Cover May Be Different

Tensor Spaces and Numerical Tensor Calculus

by Wolfgang Hackbusch

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Paperback
ISBN 10 / ISBN 13
9783030355562 / 303035556x
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Paperback / softback. New. 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. Since standard methods fail, a particular tensor calculus is needed to treat such problems.
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Tensor Spaces and Numerical Tensor Calculus
Stock Photo: Cover May Be Different

Tensor Spaces and Numerical Tensor Calculus

by Hackbusch, Wolfgang

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ISBN 10 / ISBN 13
9783030355562 / 303035556X
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Springer Nature, 2021. Paperback. New. 2nd edition. 633 pages. 9.25x6.10x1.50 inches.
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