ESAIM: Mathematical Modelling and Numerical Analysis

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

Received: 20 March 2024 / Revised: 18 March 2025 / Accepted: 31 March 2025
DOI: https://doi.org/10.1051/m2an/2025027

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

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

Offline-online approximation of multiscale eigenvalue problems with random defects

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

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

Received: 17 March 2025 / Accepted: 10 June 2025
DOI: https://doi.org/10.1051/m2an/2025047

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

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

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

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

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

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

An abstract tool for comparing mixed- and equidimensional modeling

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

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

Received: 17 June 2024 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025055

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

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

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

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

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

Received: 07 February 2025 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025059

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

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

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

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

Received: 07 February 2025 / Revised: 18 June 2025 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025062

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

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