Tensor Spaces and Numerical Tensor Calculus

• Main Author: Hackbusch, Wolfgang (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 2nd ed. 2019.
• Series: Springer Series in Computational Mathematics, 56
• Subjects: Numerical analysis.; Chemistry, Physical and theoretical.; Mathematical physics.; Numerical Analysis.; Theoretical and Computational Chemistry.; Theoretical, Mathematical and Computational Physics.

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...