On the regularity of the electronic Schr�dinger equation in Hilbert spaces of mixed derivatives-Reference-Cited by-同舟云学术

On the regularity of the electronic Schr�dinger equation in Hilbert spaces of mixed derivatives

Published:2004-08-06 Issue:4 Volume:98 Page:731-759
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Yserentant Harry

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-003-0498-1.pdf

Reference23 articles.

1. Babenko, K.I.: Approximation by trigonometric polynomials in a certain class of periodic functions of several variables. Soviet Math. Dokl. 1, 672?675 (1960)

2. Bungartz, H.J.: Finite Elements of Higher Order on Sparse Grids, Habilitationsschrift, Fakultät für Informatik, TU München. Aachen: Shaker Verlag 1998

3. DeVore, R.A., Konyagin, S.V., Temlyakov, V.N.: Hyperbolic wavelet approximation. Constr. Approx. 14, 1?26 (1998)

4. Flad, H.J., Hackbusch, W., Kolb, D., Schneider, R.: Wavelet approximation of correlated wave functions. I. Basics. J. Chem. Phys. 116, 9461?9657 (2002)

5. Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T., Østergard Sørensen, T.: The electron density is smooth away from the nuclei. Commun. Math. Phys. 228, 401?415 (2002)

Cited by 59 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Near-optimal deep neural network approximation for Korobov functions with respect to Lp and H1 norms;Neural Networks;2024-12

2. Recent mathematical advances in coupled cluster theory;International Journal of Quantum Chemistry;2024-07-05

3. Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs;Foundations of Computational Mathematics;2024-04-02

4. Adaptive multigrid method for quantum eigenvalue problems;Journal of Computational and Applied Mathematics;2024-01

5. Rate-optimal sparse approximation of compact break-of-scale embeddings;Applied and Computational Harmonic Analysis;2023-07