TY - GEN TY - GEN T1 - Tensor Spaces and Numerical Tensor Calculus T2 - Springer Series in Computational Mathematics, A1 - Hackbusch, Wolfgang. LA - English PP - Berlin, Heidelberg PB - Springer Berlin Heidelberg : Imprint: Springer YR - 2012 ED - 1st ed. 2012. UL - http://discoverylib.upm.edu.my/discovery/Record/978-3-642-28027-6 AB - 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. OP - 500 CN - QA297-299.4 SN - 9783642280276 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. ER -