ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

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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.

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Multiple solutions and simulations for an ion flow field problem applied to HVDC transmission lines

Madeline Chauvier, Serge Nicaise, Christophe Troestler and Juliette Venel

ESAIM: M2AN, Forthcoming article

Received: 05 November 2025 / Accepted: 15 June 2026

DOI: https://doi.org/10.1051/m2an/2026056

PDF (1.169 MB)

Second-order multilane traffic flow models: from the microscopic to the macroscopic scale

Matteo Piu, Giuseppe Visconti and Gabriella Puppo

ESAIM: M2AN, Forthcoming article

Received: 03 November 2025 / Revised: 04 June 2026 / Accepted: 05 June 2026

DOI: https://doi.org/10.1051/m2an/2026055

PDF (14.14 MB)

A novel MBP-preserving and energy-stable BDF2 scheme based on the invariant energy quadratization finite difference method for the Allen-Cahn equation

Si Liang, Kejia Pan, Jiangxing Wang and Xiaofeng Yang

ESAIM: M2AN, Forthcoming article

Received: 12 August 2025 / Revised: 14 May 2026 / Accepted: 04 June 2026

DOI: https://doi.org/10.1051/m2an/2026054

PDF (1.337 MB)

Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation

Boris Vexler, Dmitriy Leykekhman and Jakob Wagner

ESAIM: M2AN, Forthcoming article

Received: 12 November 2025 / Revised: 19 May 2026 / Accepted: 02 June 2026

DOI: https://doi.org/10.1051/m2an/2026053

PDF (500.5 KB)

A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations

Chen Gang, Haijun Wu and Liwei Xu

ESAIM: M2AN, Forthcoming article

Received: 08 December 2024 / Revised: 07 February 2026 / Accepted: 29 May 2026

DOI: https://doi.org/10.1051/m2an/2026052

PDF (492.0 KB)

On non-local exchange and scattering operators in domain decomposition methods

Thomas Beck, Yaiza Canzani and Jeremy L. Marzuola

ESAIM: M2AN, Forthcoming article

Received: 10 April 2025 / Revised: 16 February 2026 / Accepted: 26 May 2026

DOI: https://doi.org/10.1051/m2an/2026051

PDF (538.6 KB)

A numerical scheme for a model of a flotation column including the transport of liquid components

Raimund Bürger, Stefan Diehl, María del Carmen Martí and Yolanda Vásquez

ESAIM: M2AN, Forthcoming article

Received: 08 September 2025 / Revised: 20 April 2026 / Accepted: 23 May 2026

DOI: https://doi.org/10.1051/m2an/2026050

PDF (6.329 MB)

Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs

Dũng Đinh

ESAIM: M2AN, Forthcoming article

Received: 01 April 2025 / Revised: 16 March 2026 / Accepted: 22 May 2026

DOI: https://doi.org/10.1051/m2an/2026049

PDF (541.0 KB)

Stability analysis and error estimates of a class of spectral volume methods for hyperbolic equations over unstructured quadrilateral meshes

QI LONG, Waixiang Cao and CHI-WANG SHU

ESAIM: M2AN, Forthcoming article

Received: 05 October 2025 / Revised: 02 April 2026 / Accepted: 15 May 2026

DOI: https://doi.org/10.1051/m2an/2026046

PDF (2.365 MB)

Mixed boundary value problems for hyperbolic equations and boundary element approximation

Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein and Ernst P. Stephan

ESAIM: M2AN, Forthcoming article

Received: 18 February 2026 / Revised: 15 April 2026 / Accepted: 14 May 2026

DOI: https://doi.org/10.1051/m2an/2026048

PDF (4.305 MB)

A separable and asymptotic-preserving dynamical low-rank method for the Vlasov--Poisson--Fokker--Planck System

Shiheng Zhang and Jingwei Hu

ESAIM: M2AN, Forthcoming article

Received: 16 January 2026 / Revised: 02 May 2026 / Accepted: 13 May 2026

DOI: https://doi.org/10.1051/m2an/2026047

PDF (1.910 MB)

Finite element approximation of parabolic SPDEs with Whittle--Matérn noise

Øyvind S. Auestad, Geir-Arne Fuglstad, Espen R. Jakobsen and Annika Lang

ESAIM: M2AN, Forthcoming article

Received: 22 January 2025 / Revised: 29 September 2025 / Accepted: 09 May 2026

DOI: https://doi.org/10.1051/m2an/2026045

PDF (1.429 MB)

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

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

PDF (991.6 KB)

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

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

PDF (5.613 MB)

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

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

PDF (1.893 MB)

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

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

PDF (537.3 KB)

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

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

PDF (1.492 MB)

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

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

PDF (870.2 KB)