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math.NA2024
A space-time variational formulation for the many-body electronic Schr{ö}dinger evolution equation
Mi-Song Dupuy, Virginie Ehrlacher, Clément Guillot
We prove in this paper that the solution of the time-dependent Schr{ö}dinger equation can be expressed as the solution of a global space-time quadratic minimization problem that is…
math.NA2023
Numerical solution of Poisson partial differential equations in high dimension using two-layer neural networks
Mathias Dus, Virginie Ehrlacher
The aim of this article is to analyze numerical schemes using two-layer neural networks with infinite width for the resolution of the high-dimensional Poisson-Neumann partial diffe…