Numerical stability revisited: A family of benchmark problems for the analysis of explicit stochastic differential equation integrators
Thomas Hudson, Xingjie Li and Sarah Murphy
ESAIM: M2AN, Forthcoming article
Received: 09 April 2025 / Revised: 23 April 2026 / Accepted: 08 May 2026
Elliptic interface problem approximated by CutFEM: II. A posteriori error analysis based on equilibrated fluxes
Daniela Capatina and Aimene Gouasmi
ESAIM: M2AN, Forthcoming article
Received: 11 July 2025 / Revised: 24 April 2026 / Accepted: 04 May 2026
Local discontinuous Galerkin method for the prescribed mean curvature equation
Yuewen Chen, Chi-Wang Shu and Shing-Tung Yau
ESAIM: M2AN, Forthcoming article
Received: 28 July 2025 / Revised: 23 April 2026 / Accepted: 28 April 2026
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
ESAIM: M2AN, Forthcoming article
Received: 07 November 2025 / Revised: 18 March 2026 / Accepted: 28 April 2026
Robust hybrid finite element methods for reaction-dominated diffusion problems
Thomas Führer and Diego Paredes
ESAIM: M2AN, Forthcoming article
Received: 22 April 2024 / Revised: 18 March 2026 / Accepted: 27 April 2026
A discontinuous Galerkin method for one-dimensional nonlocal wave problems
Qiang Du, Kui Ren, Lu Zhang and Yin Zhou
ESAIM: M2AN, Forthcoming article
Received: 12 July 2025 / Revised: 07 April 2026 / Accepted: 27 April 2026
Review
Error estimates for sparse tensor products of B-spline approximation space
Clément Guillet
ESAIM: M2AN, Forthcoming article
Received: 21 November 2025 / Revised: 13 April 2026 / Accepted: 24 April 2026
Error analysis of a backward Euler positive preserving stabilized scheme for a Chemotaxis system
Panagiotis Chatzipantelidis and Christos Pervolianakis
ESAIM: M2AN, Forthcoming article
Received: 07 September 2024 / Revised: 28 January 2026 / Accepted: 17 April 2026
Elliptic interface problem approximated by CutFEM: I. Flux recovery and numerical validation of adaptive mesh refinement
Daniela Capatina, Aimene Gouasmi and Cuiyu He
ESAIM: M2AN, Forthcoming article
Received: 11 July 2025 / Revised: 06 March 2026 / Accepted: 13 April 2026
Efficient linear schemes for a penalized ternary Cahn-Hilliard system
Justin Swain and Giordano Tierra Chica
ESAIM: M2AN, Forthcoming article
Received: 06 March 2025 / Revised: 20 March 2026 / Accepted: 08 April 2026
A gradient flow model for the Gross--Pitaevskii problem: Mathematical and numerical analysis
Tianyang Chu, Xiaoying Dai, Jing Wu and Aihui Zhou
ESAIM: M2AN, Forthcoming article
Received: 31 October 2025 / Revised: 06 March 2026 / Accepted: 07 April 2026
Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates
Soeren Bartels, Philipp Tscherner and Bernd Schmidt
ESAIM: M2AN, Forthcoming article
Received: 24 February 2025 / Revised: 18 March 2026 / Accepted: 04 April 2026
Solving numerically the two-dimensional time harmonic Maxwell problem with sign-changing coefficients
Farah Chaaban, Patrick Ciarlet and Mahran Rihani
ESAIM: M2AN, Forthcoming article
Received: 23 January 2025 / Revised: 18 February 2026 / Accepted: 31 March 2026
Hybrid high-order method for the extended Fisher-Kolmogorov and the Fisher-Kolmogorov equations
Neela Nataraj and Raman Kumar
ESAIM: M2AN, Forthcoming article
Received: 11 November 2024 / Revised: 23 March 2026 / Accepted: 28 March 2026
Stabilization of parabolic time-varying PDEs using certified reduced-order receding horizon control
Behzad Azmi, Michael Kartmann and Stefan Volkwein
ESAIM: M2AN, Forthcoming article
Received: 21 August 2025 / Revised: 12 February 2026 / Accepted: 24 March 2026
Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
Agus Leonardi Soenjaya
ESAIM: M2AN, Forthcoming article
Received: 10 October 2024 / Revised: 15 December 2025 / Accepted: 24 March 2026
Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation
Martin Halla, Christoph Lehrenfeld and Tim van Beeck
ESAIM: M2AN, Forthcoming article
Received: 02 May 2025 / Revised: 14 November 2025 / Accepted: 21 March 2026
Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy
Arnaud Duran and Gaël L. Richard
ESAIM: M2AN, Forthcoming article
Received: 15 April 2024 / Revised: 29 December 2025 / Accepted: 17 March 2026
An inverse problem in cell dynamics: Recovering an initial distribution of telomere lengths from measurements of senescence times
Jules Olayé
ESAIM: M2AN, Forthcoming article
Received: 21 February 2025 / Revised: 01 January 2026 / Accepted: 11 February 2026
Traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension
Nicolas Meunier and Claire Alamichel
ESAIM: M2AN, Forthcoming article
Received: 17 February 2025 / Revised: 09 October 2025 / Accepted: 27 January 2026
Deep ReLU neural network emulation in high-frequency acoustic scattering
Fernando Henriquez and Christoph Schwab
ESAIM: M2AN, Forthcoming article
Received: 14 May 2025 / Revised: 24 December 2025 / Accepted: 22 January 2026
