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07/28/2023
Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry
The aim of this article is to propose a new reduced-order modelling appr...
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07/21/2023
A reduced basis method for frictional contact problems formulated with Nitsche's method
We develop an efficient reduced basis method for the frictional contact ...
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07/12/2023
Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
We study some properties of a multi-species degenerate Ginzburg-Landau e...
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07/12/2023
Reduced basis method for non-symmetric eigenvalue problems: application to the multigroup neutron diffusion equations
In this article, we propose a reduced basis method for parametrized non-...
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07/07/2023
Embedded corrector problems for homogenization in linear elasticity
In this article, we extend the study of embedded corrector problems, tha...
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05/16/2023
Numerical solution of Poisson partial differential equations in high dimension using deep neural networks
The aim of this article is to analyze numerical schemes using two-layer ...
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03/28/2023
Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface
We propose a two-point flux approximation finite-volume scheme for the a...
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05/05/2022
Waserstein model reduction approach for parametrized flow problems in porous media
The aim of this work is to build a reduced-order model for parametrized ...
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04/08/2022
Tensor approximation of the self-diffusion matrix of tagged particle processes
The objective of this paper is to investigate a new numerical method for...
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11/22/2021
Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system
Cross-diffusion systems arise as hydrodynamic limits of lattice multi-sp...
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09/07/2021
Multi-center decomposition of molecular densities: a mathematical perspective
The aim of this paper is to analyze from a mathematical perspective some...
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05/28/2021
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables
The main focus of this article is to provide a mathematical study of the...
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02/05/2021
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation
The Strictly Correlated Electrons (SCE) limit of the Levy-Lieb functiona...
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11/19/2020
CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation
In the present work, a method is proposed in order to compute a Canonica...
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07/20/2020
Finite volumes for the Stefan-Maxwell cross-diffusion system
The aim of this work is to propose a provably convergent finite volume s...
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07/20/2020
Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias
A modification of the Adaptive Biasing Force method is introduced, in wh...
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05/14/2019