Open Access
| Issue |
ESAIM: M2AN
Volume 60, Number 2, March-April 2026
|
|
|---|---|---|
| Page(s) | 689 - 699 | |
| DOI | https://doi.org/10.1051/m2an/2026015 | |
| Published online | 09 April 2026 | |
- Z. Chen, L. Lu, Y. Lu and S. Zhou, A regularity theory for static Schrödinger equations on ℝd in spectral Barron spaces. SIAM J. Math. Anal. 55 (2023) 557–570. [Google Scholar]
- T. De Ryck and S. Mishra, Numerical analysis of physics-informed neural networks and related models in physics-informed machine learning. Acta Numer. 33 (2024) 633–713. [Google Scholar]
- M. Dus and V. Ehrlacher, Two-layers neural networks for Schrödinger eigenvalue problems. Preprint arXiv: 2409.01640 (2024). [Google Scholar]
- S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. Østergard Sørensen, Sharp regularity estimates for Coulombic many-electron wave functions. Commun. Math. Phys. 255 (2005) 183–227. [Google Scholar]
- S. Fournais, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and T. Østergard Sørensen, Analytic structure of many-body Coulombic wave functions. Commun. Math. Phys. 289 (2009) 291–310. [Google Scholar]
- T. Kato, On the eigenfunctions of many-particle systems in quantum mechanics. Commun. Pure Appl. Math. 10 (1957) 151–177. [Google Scholar]
- H.-C. Kreusler and H. Yserentant, The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces. Numer. Math. 121 (2012) 781–802. [CrossRef] [MathSciNet] [Google Scholar]
- L. Meng, On the mixed regularity of N-body Coulombic wavefunctions. ESAIM: M2AN 57 (2023) 2257–2282. [Google Scholar]
- E.M. Stein, Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton (1970). [Google Scholar]
- J. Xu, The finite neuron method and convergence analysis. Commun. Comput. Phys. 28 (2020) 1707–1745. [Google Scholar]
- H. Yserentant, On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives. Numer. Math. 98 (2004) 731–759. [CrossRef] [MathSciNet] [Google Scholar]
- H. Yserentant, Regularity and Approximability of Electronic Wave Functions. Vol. 2000 of Lecture Notes in Mathematics. Springer, New York (2010). [Google Scholar]
- H. Yserentant, The mixed regularity of electronic wave functions multiplied by explicit correlation factors. ESAIM: M2AN 45 (2011) 803–824. [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.
