TY - BOOK ID - 61157599 TI - Tensor Spaces and Numerical Tensor Calculus PY - 2019 SN - 3030355543 3030355535 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Calculus of tensors. KW - Absolute differential calculus KW - Analysis, Tensor KW - Calculus, Absolute differential KW - Calculus, Tensor KW - Tensor analysis KW - Tensor calculus KW - Geometry, Differential KW - Geometry, Infinitesimal KW - Vector analysis KW - Spinor analysis KW - Numerical analysis. KW - Chemistry, Physical and theoretical. KW - Mathematical physics. KW - Numerical Analysis. KW - Theoretical and Computational Chemistry. KW - Theoretical, Mathematical and Computational Physics. KW - Physical mathematics KW - Physics KW - Chemistry, Theoretical KW - Physical chemistry KW - Theoretical chemistry KW - Chemistry KW - Mathematical analysis KW - Mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:61157599 AB - 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. ER -