Výsledky vyhledávání - "Virginie Ehrlacher"

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Two-layers neural networks for Schr{\'o}dinger eigenvalue problems

Autor: Dus, Mathias, Virginie, Ehrlacher

The aim of this article is to analyze numerical schemes using two-layer neural networks withinfinite width for the resolution of high-dimensional Schr{\"o}dinger eigenvalue problems with smoothinteraction potentials and Neumann boundary condition on

Externí odkaz: http://arxiv.org/abs/2409.01640

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Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: Linearized system

Autor: Jean Cauvin-Vila, Virginie Ehrlacher, Amaury Hayat

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, 2023, 350, pp.251-307. ⟨10.1016/j.jde.2022.12.021⟩

We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arbitrary small-time of the linearized system around uniform equilibria,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31c5d36b6c91c72ccd35bc0823703db9
https://doi.org/10.1016/j.jde.2022.12.021

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Adaptive force biasing algorithms: New convergence results and tensor approximations of the bias

Autor: Virginie Ehrlacher, Tony Lelièvre, Pierre Monmarché

Publikováno v: Annals of Applied Probability
Annals of Applied Probability, 2022, 32 (5), ⟨10.1214/21-AAP1775⟩

International audience We analyze and propose variants of the Adaptive Biasing Force method. First, we prove the convergence of a version of the algorithm where the biasing force is estimated using a weighted occupation measure, with an explicit asym

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::921fb313b7739166ee4c77a303528ee4
https://doi.org/10.1214/21-aap1775

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Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations

Autor: Jan-Frederik Pietschmann, Judith Berendsen, Martin Burger, Virginie Ehrlacher

Publikováno v: Journal of Evolution Equations
Journal of Evolution Equations, Springer Verlag, 2019, ⟨10.1007/s00028-019-00534-4⟩
Journal of Evolution Equations, 2019, ⟨10.1007/s00028-019-00534-4⟩

Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task in the general case, and there exist very few results in this direction. In this work, we study a particular system with zero-flux boundary conditions fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0afe329acf0720263fd24c39e34e3174
https://doi.org/10.1007/s00028-019-00534-4

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Tensor approximation of the self-diffusion matrix of tagged particle processes

Autor: Jad Dabaghi, Virginie Ehrlacher, Christoph Strössner

The objective of this paper is to investigate a new numerical method for the approximation of the self-diffusion matrix of a tagged particle process defined on a grid. While standard numerical methods make use of long-time averages of empirical means

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bd2e3608d0755bc5cf0f834ff29bb1b
http://arxiv.org/abs/2204.03943

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An Embedded Corrector Problem for Homogenization. Part I: Theory

Autor: Virginie Ehrlacher, Frédéric Legoll, Eric Cancès, Benjamin Stamm, Shuyang Xiang

Publikováno v: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2020, 18 (3), pp.1179-1209. ⟨10.1137/18M120035X⟩
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2020, 18 (3), pp.1179-1209. ⟨10.1137/18M120035X⟩

International audience; This article is the first part of a two-fold study, the objective of which is the theoretical analysis and numerical investigation of new approximate corrector problems in the context of stochastic homogenization. We present h

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6039944c06ebc6665cc1183a0653689a
https://doi.org/10.1137/18m120035x

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Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation

Autor: Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher

Publikováno v: Mathematical Models and Methods in Applied Sciences
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, In press
Mathematical Models and Methods in Applied Sciences, In press

The Strictly Correlated Electrons (SCE) limit of the Levy–Lieb functional in Density Functional Theory (DFT) gives rise to a symmetric multi-marginal optimal transport problem with Coulomb cost, where the number of marginal laws is equal to the num

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ef1765da109929bf98d4619c3f493a3
https://hal.archives-ouvertes.fr/hal-03131763/document

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Adaptive Hierarchical Subtensor Partitioning for Tensor Compression

Autor: Hao Song, Virginie Ehrlacher, Laura Grigori, Damiano Lombardi

Publikováno v: SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing, 2021, ⟨10.1137/19M128689X⟩
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021, ⟨10.1137/19M128689X⟩

International audience In this work a numerical method is proposed to compress a tensor by constructing a piece-wise tensor approximation. This is defined by partitioning a tensor into sub-tensors and by computing a low-rank tensor approximation (in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a15ed2a90d22ddcdcf985717bf1972ef

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Multi-center decomposition of molecular densities: a mathematical perspective

Autor: Robert Benda, Eric Cancès, Virginie Ehrlacher, Benjamin Stamm

Publikováno v: Journal of Chemical Physics
Journal of Chemical Physics, 2022, 156, pp.164107. ⟨10.1063/5.0076630⟩

International audience; The aim of this paper is to analyze from a mathematical perspective some existing schemes to partition a molecular density into several atomic contributions, with a specific focus on Iterative Stockholder Atom (ISA) methods. W

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9c06a2d8a8b37118814adcb1178b67e
https://doi.org/10.48550/arxiv.2109.03304

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Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system

Autor: Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2021, 286, pp.578-623
Journal of Differential Equations, 2021, 286, pp.578-623

The aim of this article is to study a Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects, degenerate mobility and where only one of the species does separate from the others. We define a notion of weak solution adapted to p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf1bd5ddf6737cd41191c64e52f9313c
https://hal.archives-ouvertes.fr/hal-02888479

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