ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

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Using curved meshes to derive a priori error estimates for a linear elasticity problem with robin boundary conditions

ESAIM: M2AN, Forthcoming article
Received: 16 December 2024 / Revised: 05 June 2025 / Accepted: 05 July 2025
DOI: https://doi.org/10.1051/m2an/2025063

The semi-implicit Euler-Maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of Levy processes

ESAIM: M2AN, Forthcoming article
Received: 03 November 2023 / Revised: 14 December 2024 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025061

Hybrid high-order methods for elasto-acoustic wave propagation in the time domain

ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 18 June 2025 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025062

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method

ESAIM: M2AN, Forthcoming article
Received: 14 May 2024 / Revised: 26 February 2025 / Accepted: 24 June 2025
DOI: https://doi.org/10.1051/m2an/2025060

Convergence analysis of approximate shape gradients for shape optimization in parabolic problems

ESAIM: M2AN, Forthcoming article
Received: 25 November 2024 / Revised: 16 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025058

Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays

ESAIM: M2AN, Forthcoming article
Received: 13 November 2024 / Revised: 08 April 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025057

Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation

ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025059

Three parameter-robust virtual element numerical schemes for a Stokes-Biot fluid-poroelastic structure interaction model

ESAIM: M2AN, Forthcoming article
Received: 17 June 2024 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025055

An abstract tool for comparing mixed- and equidimensional modeling

ESAIM: M2AN, Forthcoming article
Received: 06 November 2024 / Revised: 21 May 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025054

Flux gobalization based well-balanced path-conservative central-upwind schemes for the shallow water flows in channels with arbitrary cross-section

ESAIM: M2AN, Forthcoming article
Received: 17 May 2024 / Revised: 24 February 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025053

A microscopic derivation of a traffic flow model on a junction with two entry lines

ESAIM: M2AN, Forthcoming article
Received: 02 September 2024 / Revised: 07 May 2025 / Accepted: 16 June 2025
DOI: https://doi.org/10.1051/m2an/2025051

Uniform in time convergence of numerical schemes for stochastic differential equations via Strong Exponential stability: Euler methods, Split-Step and Tamed Schemes.

ESAIM: M2AN, Forthcoming article
Received: 26 July 2024 / Revised: 21 January 2025 / Accepted: 16 June 2025
DOI: https://doi.org/10.1051/m2an/2025052

On the breathing of spectral bands in periodic quantum waveguides with inflating resonators

ESAIM: M2AN, Forthcoming article
Received: 18 January 2025 / Revised: 11 May 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025049

Strong error estimates for a fully discrete SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise

ESAIM: M2AN, Forthcoming article
Received: 17 March 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025050

A multipoint perturbation formula for eigenvalue problems

ESAIM: M2AN, Forthcoming article
Received: 30 April 2024 / Revised: 30 January 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025048

Residual-based a posteriori error analysis of a Taylor--Hood discretization of the Reissner--Mindlin plate

ESAIM: M2AN, Forthcoming article
Received: 17 March 2025 / Accepted: 10 June 2025
DOI: https://doi.org/10.1051/m2an/2025047

Offline-online approximation of multiscale eigenvalue problems with random defects

ESAIM: M2AN, Forthcoming article
Received: 29 November 2024 / Revised: 25 April 2025 / Accepted: 03 June 2025
DOI: https://doi.org/10.1051/m2an/2025046

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in H(div)

ESAIM: M2AN, Forthcoming article
Received: 03 December 2024 / Revised: 27 April 2025 / Accepted: 01 June 2025
DOI: https://doi.org/10.1051/m2an/2025045

Finite element approximation to the non-stationary quasi-geostrophic equation

ESAIM: M2AN, Forthcoming article
Received: 19 August 2024 / Revised: 03 April 2025 / Accepted: 20 May 2025
DOI: https://doi.org/10.1051/m2an/2025040

Implicit kinetic schemes for the Saint-Venant system

ESAIM: M2AN, Forthcoming article
Received: 13 May 2024 / Revised: 02 April 2025 / Accepted: 16 May 2025
DOI: https://doi.org/10.1051/m2an/2025038

Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme

ESAIM: M2AN, Forthcoming article
Received: 20 March 2024 / Revised: 18 March 2025 / Accepted: 31 March 2025
DOI: https://doi.org/10.1051/m2an/2025027