ESAIM: Mathematical Modelling and Numerical Analysis

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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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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Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation

Matteo Ferrari, Sara Fraschini, Gabriele Loli and Ilaria Perugia

Received: 01 November 2024 / Revised: 17 June 2025 / Accepted: 23 June 2025

DOI: https://doi.org/10.1051/m2an/2025056

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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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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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Pointwise convergence of the local discontinuous Galerkin method on a Shishkin mesh for 2D reaction-diffusion problems

Yao Cheng, Xuesong Wang and Martin Stynes

Received: 04 March 2025 / Revised: 21 July 2025 / Accepted: 26 July 2025

DOI: https://doi.org/10.1051/m2an/2025065

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