most citedFrequency and field-dependent response of confined electrolytes from Brownian dynamics simulations

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math.NA2022★ 1 cited

Error estimates and variance reduction for nonequilibrium stochastic dynamics

Gabriel Stoltz

Equilibrium properties in statistical physics are obtained by computing averages with respect to Boltzmann-Gibbs measures, sampled in practice using ergodic dynamics such as the La…

math.NA2022★ 3 cited

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods

Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll +1

Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-…

math.NA2022★ 6 cited

Numerical stability and efficiency of response property calculations in density functional theory

Eric Cancès, Michael F. Herbst, Gaspard Kemlin +2

Response calculations in density functional theory aim at computing the change in ground-state density induced by an external perturbation. At finite temperature these are usually…

math.NA2022

On basis set optimisation in quantum chemistry

Eric Cancès, Geneviève Dusson, Gaspard Kemlin +1

In this article, we propose general criteria to construct optimal atomic centered basis sets in quantum chemistry. We focus in particular on two criteria, one based on the ground-s…

math.NA2022★ 2 cited

A priori error analysis of linear and nonlinear periodic Schr{ö}dinger equations with analytic potentials

Eric Cancès, Gaspard Kemlin, Antoine Levitt

This paper is concerned with the numerical analysis of linear and nonlinear Schr{ö}dinger equations with analytic potentials. While the regularity of the potential (and the source…