Tensor Spaces and Numerical Tensor Calculus

   In stock
SKU
BK0069860
ISBN13 9783642280269
Binding PAPERBACK
Author WOLFGANG HACKBUSCH
Language ENGLISH
Publisher SPRINGER VERLAG
Published Year 2012
Country of Origin India

12024.00

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.