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.

Online access to PDF files is granted to subscribers.

Extension operators and geometric decompositions

Yakov Berchenko-Kogan

ESAIM: M2AN, Forthcoming article

Received: 23 September 2025 / Revised: 03 June 2026 / Accepted: 21 July 2026

DOI: https://doi.org/10.1051/m2an/2026061

PDF (384.0 KB)

A fast and minimally implicit fully well-balanced scheme for the 1D shallow water system with topography and Manning friction

Izarne Martínez-Donato, Celia Caballero-Cárdenas, Irene Gómez-Bueno and Isabel Cordero-Carrión

ESAIM: M2AN, Forthcoming article

Received: 27 October 2025 / Revised: 08 July 2026 / Accepted: 18 July 2026

DOI: https://doi.org/10.1051/m2an/2026062

PDF (1.122 MB)

Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations

Matteo Ferrari, Ilaria Perugia and Enrico Zampa

ESAIM: M2AN, Forthcoming article

Received: 05 January 2026 / Revised: 19 May 2026 / Accepted: 18 July 2026

DOI: https://doi.org/10.1051/m2an/2026063

PDF (1.335 MB)

A convergent MUSCL-Hancock scheme for non-local conservation laws

K. Sudarshan Kumar, Nikhil Manoj and Veerappa Gowda G D

ESAIM: M2AN, Forthcoming article

Received: 21 July 2025 / Revised: 13 July 2026 / Accepted: 18 July 2026

DOI: https://doi.org/10.1051/m2an/2026060

PDF (944.5 KB)

A posteriori error analysis of a virtual element method for stress-assisted diffusion problems

Franco Dassi, Rekha Khot, Andres E Rubiano and Ricardo Ruiz-Baier

ESAIM: M2AN, Forthcoming article

Received: 21 January 2026 / Revised: 06 July 2026 / Accepted: 16 July 2026

DOI: https://doi.org/10.1051/m2an/2026059

PDF (2.624 MB)

An iterated quasi-asymptotic-preserving hybrid discontinuous Galerkin method for highly anisotropic diffusion problems

Michel Mehrenberger, Tuan Dung Nguyen, Frédéric Schwander and Eric Serre

ESAIM: M2AN, Forthcoming article

Received: 20 November 2025 / Revised: 13 May 2026 / Accepted: 13 July 2026

DOI: https://doi.org/10.1051/m2an/2026057

PDF (641.6 KB)

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)

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)

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)