ESAIM: Mathematical Modelling and Numerical Analysis

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

Théophile Chaumont-Frelet and Alexandre Ern

Received: 20 March 2024 / Revised: 18 March 2025 / Accepted: 31 March 2025

DOI: https://doi.org/10.1051/m2an/2025027

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

Dohyun Kim, Amiya Kumar Pani and Eun-Jae Park

Received: 19 August 2024 / Revised: 03 April 2025 / Accepted: 20 May 2025

DOI: https://doi.org/10.1051/m2an/2025040

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Offline-online approximation of multiscale eigenvalue problems with random defects

Dilini Kolombage and Barbara Verfürth

Received: 29 November 2024 / Revised: 25 April 2025 / Accepted: 03 June 2025

DOI: https://doi.org/10.1051/m2an/2025046

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

Dietmar Gallistl and Mira Schedensack

Received: 17 March 2025 / Accepted: 10 June 2025

DOI: https://doi.org/10.1051/m2an/2025047

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A multipoint perturbation formula for eigenvalue problems

Louis Garrigue, Benjamin Stamm and Genevieve Dusson

Received: 30 April 2024 / Revised: 30 January 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/m2an/2025048

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

Lucas Chesnel and Sergei A. Nazarov

Received: 18 January 2025 / Revised: 11 May 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/m2an/2025049

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

Stefan Metzger

Received: 17 March 2025 / Accepted: 14 June 2025

DOI: https://doi.org/10.1051/m2an/2025050

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

Pierre Cardaliaguet

Received: 02 September 2024 / Revised: 07 May 2025 / Accepted: 16 June 2025

DOI: https://doi.org/10.1051/m2an/2025051

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

Letizia Angeli, Dan Crisan and Michela Ottobre

Received: 26 July 2024 / Revised: 21 January 2025 / Accepted: 16 June 2025

DOI: https://doi.org/10.1051/m2an/2025052

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

Alexander Kurganov and Mingye Na

Received: 17 May 2024 / Revised: 24 February 2025 / Accepted: 18 June 2025

DOI: https://doi.org/10.1051/m2an/2025053

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An abstract tool for comparing mixed- and equidimensional modeling

Daniel Førland Holmen, Jan Martin Nordbotten and Jon Eivind Vatne

Received: 06 November 2024 / Revised: 21 May 2025 / Accepted: 18 June 2025

DOI: https://doi.org/10.1051/m2an/2025054

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

Xin Liu, Qixuan Song, Yiqiang Li and Junfeng Zhao

Received: 17 June 2024 / Revised: 05 June 2025 / Accepted: 23 June 2025

DOI: https://doi.org/10.1051/m2an/2025055

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

Katia Ait-Ameur, Teddy Pichard, Marc Massot and Mohamed Essadki

Received: 13 November 2024 / Revised: 08 April 2025 / Accepted: 23 June 2025

DOI: https://doi.org/10.1051/m2an/2025057

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

Jiajie Li, Wan Li and Shengfeng Zhu

Received: 25 November 2024 / Revised: 16 June 2025 / Accepted: 23 June 2025

DOI: https://doi.org/10.1051/m2an/2025058

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

Benjamin Rainer and Barbara Kaltenbacher

Received: 07 February 2025 / Revised: 05 June 2025 / Accepted: 23 June 2025

DOI: https://doi.org/10.1051/m2an/2025059

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

Erik Burman, Mingfei Lu and Lauri Oksanen

Received: 14 May 2024 / Revised: 26 February 2025 / Accepted: 24 June 2025

DOI: https://doi.org/10.1051/m2an/2025060

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

Xiaotong Li, Wei Liu and Hongjiong Tian

Received: 03 November 2023 / Revised: 14 December 2024 / Accepted: 30 June 2025

DOI: https://doi.org/10.1051/m2an/2025061

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

Romain Mottier, Alexandre Ern, Rekha Khot and Laurent Guillot

Received: 07 February 2025 / Revised: 18 June 2025 / Accepted: 30 June 2025

DOI: https://doi.org/10.1051/m2an/2025062

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

Joyce Ghantous

Received: 16 December 2024 / Revised: 05 June 2025 / Accepted: 05 July 2025

DOI: https://doi.org/10.1051/m2an/2025063

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