Tensor Spaces and Numerical Tensor Calculus

1. Introduction
Wolfgang Hackbusch

2. Matrix Tools
Wolfgang Hackbusch

3. Algebraic Foundations of Tensor Spaces
Wolfgang Hackbusch

4. Banach Tensor Spaces
Wolfgang Hackbusch

5. General Techniques
Wolfgang Hackbusch

6. Minimal Subspaces
Wolfgang Hackbusch

7.
r-Term Representation
Wolfgang Hackbusch

8. Tensor Subspace Representation
Wolfgang Hackbusch

9.
r-Term Approximation
Wolfgang Hackbusch

10. Tensor Subspace Approximation
Wolfgang Hackbusch

11. Hierarchical Tensor Representation
Wolfgang Hackbusch

12. Matrix Product Systems
Wolfgang Hackbusch

13. Tensor Operations
Wolfgang Hackbusch

14. Tensorisation
Wolfgang Hackbusch

15. Generalised Cross Approximation
Wolfgang Hackbusch

16. Applications to Elliptic Partial Differential Equations
Wolfgang Hackbusch

17. Miscellaneous Topics
Wolfgang Hackbusch

Nyckelord: Mathematics, Numerical Analysis, Theoretical and Computational Chemistry, Theoretical, Mathematical and Computational Physics