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Forthcoming articles

ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

Online access to PDF files is granted to subscribers.

Convergence of a finite volume scheme for a model for ants

Oscar de Wit, Maria Bruna and Markus Schmidtchen
ESAIM: M2AN, Forthcoming article
Received: 31 March 2025 / Revised: 02 October 2025 / Accepted: 31 October 2025
DOI: https://doi.org/10.1051/m2an/2025092

A quasi-interpolation operator yielding fully computable error bounds

Théophile Chaumont-Frelet and Martin Vohralik
ESAIM: M2AN, Forthcoming article
Received: 16 July 2025 / Revised: 10 October 2025 / Accepted: 17 October 2025
DOI: https://doi.org/10.1051/m2an/2025091

Optimal $L^2$ convergence of renormalized Crank-Nicolson mass lumping FEMs for the Landau-Lifshitz equation

Xinping Gui, Yiwei Jiang, Jilu Wang and Lihong Yin
ESAIM: M2AN, Forthcoming article
Received: 05 July 2024 / Revised: 15 October 2025 / Accepted: 15 October 2025
DOI: https://doi.org/10.1051/m2an/2025090

Fourth-order compact exponential splittings for unbounded operators

Arieh Iserles, Karolina Kropielnicka and Juan Carlos Del Valle Rosales
ESAIM: M2AN, Forthcoming article
Received: 25 April 2025 / Revised: 06 October 2025 / Accepted: 13 October 2025
DOI: https://doi.org/10.1051/m2an/2025089

Numerical analysis of the $\boldsymbol{A}$-formulation of Maxwell variational inequality

Feifei Jing, Xiaodi Zhang and Weiying Zheng
ESAIM: M2AN, Forthcoming article
Received: 25 July 2024 / Revised: 26 June 2025 / Accepted: 11 October 2025
DOI: https://doi.org/10.1051/m2an/2025088

Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates

Huu Nhu Vu, Christian Clason and Arnd Rösch
ESAIM: M2AN, Forthcoming article
Received: 04 March 2023 / Revised: 03 February 2025 / Accepted: 01 October 2025
DOI: https://doi.org/10.1051/m2an/2025086

Asymptotic compatibility of parametrized optimal design problems

Tadele Mengesha, Abner J Salgado and Joshua Siktar
ESAIM: M2AN, Forthcoming article
Received: 20 January 2025 / Revised: 23 September 2025 / Accepted: 30 September 2025
DOI: https://doi.org/10.1051/m2an/2025084

Arbitrary order approximations at constant cost for Timoshenko beam network models

Moritz Hauck, Axel Målqvist and Andreas Rupp
ESAIM: M2AN, Forthcoming article
Received: 06 August 2024 / Revised: 24 July 2025 / Accepted: 30 September 2025
DOI: https://doi.org/10.1051/m2an/2025085

A convergent time scheme for a chemotaxis-fluids model with potential consumption

Francisco Guillen-Gonzalez, Daniel Moraes and Gabriela Planas
ESAIM: M2AN, Forthcoming article
Received: 18 June 2025 / Revised: 02 September 2025 / Accepted: 29 September 2025
DOI: https://doi.org/10.1051/m2an/2025083

Efficient finite element methods for semiclassical nonlinear Schr\"odinger equations with random potentials

Panchi Li and Zhiwen Zhang
ESAIM: M2AN, Forthcoming article
Received: 31 December 2024 / Revised: 21 July 2025 / Accepted: 29 August 2025
DOI: https://doi.org/10.1051/m2an/2025072

Exponential Rosenbrock methods without order reduction when integrating nonlinear initial boundary value problems

Begoña Cano and Maria Jesús Moreta
ESAIM: M2AN, Forthcoming article
Received: 18 March 2025 / Revised: 25 July 2025 / Accepted: 30 July 2025
DOI: https://doi.org/10.1051/m2an/2025068