Tensor Spaces and Numerical Tensor Calculus: 42 (Springer Series in Computational Mathematics, 42) - Hardcover

Hackbusch, Wolfgang

Hardcover

ISBN 10: 3642280269 ISBN 13: 9783642280269

Publisher: Springer, 2012

Synopsis

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. ​

About this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 3642280269
• ISBN 13: 9783642280269
• Binding: Hardcover
• Number of pages: 524