Buch
Tensor Spaces and Numerical Tensor Calculus
Wolfgang Hackbusch
149,79
EUR
Lieferzeit 12-13 Tage
Übersicht
Verlag | : | Springer International Publishing |
Buchreihe | : | Springer Series in Computational Mathematics (Bd. 56) |
Sprache | : | Englisch |
Erschienen | : | 24. 01. 2021 |
Seiten | : | 605 |
Einband | : | Kartoniert |
Höhe | : | 235 mm |
Breite | : | 155 mm |
ISBN | : | 9783030355562 |
Sprache | : | Englisch |
Autorinformation
Wolfgang Hackbusch 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.
Inhaltsverzeichnis
Part I: Algebraic Tensors.- 1 Introduction.- 2 Matrix Tools.- 3 Algebraic Foundations of Tensor Spaces.- Part II: Functional Analysis of Tensor Spaces.- 4 Banach Tensor Spaces.- 5 General Techniques.- 6 Minimal Subspaces.- Part III: Numerical Treatment.- 7 r-Term Representation.- 8 Tensor Subspace Represenation.- 9 r-Term Approximation.- 10 Tensor Subspace Approximation.- 11 Hierarchical Tensor Representation.- 12 Matrix Product Systems.- 13 Tensor Operations.- 14 Tensorisation.- 15 Multivariate Cross Approximation.- 16 Applications to Elliptic Partial Differential Equations.- 17 Miscellaneous Topics.