22 citations · 68 across the 11 of their papers we have counts for
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A posteriori error estimates for Schr{ö}dinger operators discretized with linear combinations of atomic orbitals
Geneviève Dusson, Mi-Song Dupuy, Ioanna-Maria Lygatsika
We establish guaranteed and practically computable a posteriori error bounds for source problems and eigenvalue problems involving linear Schr{ö}dinger operators with atom-centered…
Linear response and resonances in adiabatic time-dependent density functional theory
Mi-Song Dupuy, Eloïse Letournel, Antoine Levitt
We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linea…
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…