ESAIM: Mathematical Modelling and Numerical Analysis

Deep ReLU neural network emulation in high-frequency acoustic scattering

Fernando Henriquez and Christoph Schwab

Received: 14 May 2025 / Revised: 24 December 2025 / Accepted: 22 January 2026

DOI: https://doi.org/10.1051/m2an/2026010

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An inverse problem in cell dynamics: Recovering an initial distribution of telomere lengths from measurements of senescence times

Jules Olayé

Received: 21 February 2025 / Revised: 01 January 2026 / Accepted: 11 February 2026

DOI: https://doi.org/10.1051/m2an/2026022

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Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy

Arnaud Duran and Gaël L. Richard

Received: 15 April 2024 / Revised: 29 December 2025 / Accepted: 17 March 2026

DOI: https://doi.org/10.1051/m2an/2026026

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Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

Martin Halla, Christoph Lehrenfeld and Tim van Beeck

Received: 02 May 2025 / Revised: 14 November 2025 / Accepted: 21 March 2026

DOI: https://doi.org/10.1051/m2an/2026027

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Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques

Agus Leonardi Soenjaya

Received: 10 October 2024 / Revised: 15 December 2025 / Accepted: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026028

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Stabilization of parabolic time-varying PDEs using certified reduced-order receding horizon control

Behzad Azmi, Michael Kartmann and Stefan Volkwein

Received: 21 August 2025 / Revised: 12 February 2026 / Accepted: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026029

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Hybrid high-order method for the extended Fisher-Kolmogorov and the Fisher-Kolmogorov equations

Neela Nataraj and Raman Kumar

Received: 11 November 2024 / Revised: 23 March 2026 / Accepted: 28 March 2026

DOI: https://doi.org/10.1051/m2an/2026031

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Solving numerically the two-dimensional time harmonic Maxwell problem with sign-changing coefficients

Farah Chaaban, Patrick Ciarlet and Mahran Rihani

Received: 23 January 2025 / Revised: 18 February 2026 / Accepted: 31 March 2026

DOI: https://doi.org/10.1051/m2an/2026032

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Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates

Soeren Bartels, Philipp Tscherner and Bernd Schmidt

Received: 24 February 2025 / Revised: 18 March 2026 / Accepted: 04 April 2026

DOI: https://doi.org/10.1051/m2an/2026033

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A gradient flow model for the Gross--Pitaevskii problem: Mathematical and numerical analysis

Tianyang Chu, Xiaoying Dai, Jing Wu and Aihui Zhou

Received: 31 October 2025 / Revised: 06 March 2026 / Accepted: 07 April 2026

DOI: https://doi.org/10.1051/m2an/2026034

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Efficient linear schemes for a penalized ternary Cahn-Hilliard system

Justin Swain and Giordano Tierra Chica

Received: 06 March 2025 / Revised: 20 March 2026 / Accepted: 08 April 2026

DOI: https://doi.org/10.1051/m2an/2026035

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Elliptic interface problem approximated by CutFEM: I. Flux recovery and numerical validation of adaptive mesh refinement

Daniela Capatina, Aimene Gouasmi and Cuiyu He

Received: 11 July 2025 / Revised: 06 March 2026 / Accepted: 13 April 2026

DOI: https://doi.org/10.1051/m2an/2026036

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Error analysis of a backward Euler positive preserving stabilized scheme for a Chemotaxis system

Panagiotis Chatzipantelidis and Christos Pervolianakis

Received: 07 September 2024 / Revised: 28 January 2026 / Accepted: 17 April 2026

DOI: https://doi.org/10.1051/m2an/2026037

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Review

Error estimates for sparse tensor products of B-spline approximation space

Clément Guillet

Received: 21 November 2025 / Revised: 13 April 2026 / Accepted: 24 April 2026

DOI: https://doi.org/10.1051/m2an/2026038

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Numerical stability revisited: A family of benchmark problems for the analysis of explicit stochastic differential equation integrators

Thomas Hudson, Xingjie Li and Sarah Murphy

Received: 09 April 2025 / Revised: 23 April 2026 / Accepted: 08 May 2026

DOI: https://doi.org/10.1051/m2an/2026044

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Hybrid FEM/IPDG semi-implicit schemes for time domain electromagnetic wave propagation in non cylindrical coaxial cables

Akram Beni Hamad, Sébastien Imperiale and Patrick Joly

Received: 07 November 2025 / Revised: 18 March 2026 / Accepted: 28 April 2026

DOI: https://doi.org/10.1051/m2an/2026042

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Elliptic interface problem approximated by CutFEM: II. A posteriori error analysis based on equilibrated fluxes

Daniela Capatina and Aimene Gouasmi

Received: 11 July 2025 / Revised: 24 April 2026 / Accepted: 04 May 2026

DOI: https://doi.org/10.1051/m2an/2026043

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Local discontinuous Galerkin method for the prescribed mean curvature equation

Yuewen Chen, Chi-Wang Shu and Shing-Tung Yau

Received: 28 July 2025 / Revised: 23 April 2026 / Accepted: 28 April 2026

DOI: https://doi.org/10.1051/m2an/2026041

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Traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

Nicolas Meunier and Claire Alamichel

Received: 17 February 2025 / Revised: 09 October 2025 / Accepted: 27 January 2026

DOI: https://doi.org/10.1051/m2an/2026013

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Robust hybrid finite element methods for reaction-dominated diffusion problems

Thomas Führer and Diego Paredes

Received: 22 April 2024 / Revised: 18 March 2026 / Accepted: 27 April 2026

DOI: https://doi.org/10.1051/m2an/2026039

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A discontinuous Galerkin method for one-dimensional nonlocal wave problems

Qiang Du, Kui Ren, Lu Zhang and Yin Zhou

Received: 12 July 2025 / Revised: 07 April 2026 / Accepted: 27 April 2026

DOI: https://doi.org/10.1051/m2an/2026040

• PDF (2.320 MB)