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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.

Using curved meshes to derive a priori error estimates for a linear elasticity problem with robin boundary conditions

Joyce Ghantous
ESAIM: M2AN, Forthcoming article
Received: 16 December 2024 / Revised: 05 June 2025 / Accepted: 05 July 2025
DOI: https://doi.org/10.1051/m2an/2025063

The semi-implicit Euler-Maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of Levy processes

Xiaotong Li, Wei Liu and Hongjiong Tian
ESAIM: M2AN, Forthcoming article
Received: 03 November 2023 / Revised: 14 December 2024 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025061

Hybrid high-order methods for elasto-acoustic wave propagation in the time domain

Romain Mottier, Alexandre Ern, Rekha Khot and Laurent Guillot
ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 18 June 2025 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025062

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method

Erik Burman, Mingfei Lu and Lauri Oksanen
ESAIM: M2AN, Forthcoming article
Received: 14 May 2024 / Revised: 26 February 2025 / Accepted: 24 June 2025
DOI: https://doi.org/10.1051/m2an/2025060

Unconditionally stable space-time isogeometric discretization for the wave equation in Hamiltonian formulation

Matteo Ferrari, Sara Fraschini, Gabriele Loli and Ilaria Perugia
ESAIM: M2AN, Forthcoming article
Received: 01 November 2024 / Revised: 17 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025056

Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays

Katia Ait-Ameur, Teddy Pichard, Marc Massot and Mohamed Essadki
ESAIM: M2AN, Forthcoming article
Received: 13 November 2024 / Revised: 08 April 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025057

Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation

Benjamin Rainer and Barbara Kaltenbacher
ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025059

Flux gobalization based well-balanced path-conservative central-upwind schemes for the shallow water flows in channels with arbitrary cross-section

Alexander Kurganov and Mingye Na
ESAIM: M2AN, Forthcoming article
Received: 17 May 2024 / Revised: 24 February 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025053

An abstract tool for comparing mixed- and equidimensional modeling

Daniel Førland Holmen, Jan Martin Nordbotten and Jon Eivind Vatne
ESAIM: M2AN, Forthcoming article
Received: 06 November 2024 / Revised: 21 May 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025054

Uniform in time convergence of numerical schemes for stochastic differential equations via Strong Exponential stability: Euler methods, Split-Step and Tamed Schemes.

Letizia Angeli, Dan Crisan and Michela Ottobre
ESAIM: M2AN, Forthcoming article
Received: 26 July 2024 / Revised: 21 January 2025 / Accepted: 16 June 2025
DOI: https://doi.org/10.1051/m2an/2025052

Strong error estimates for a fully discrete SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise

Stefan Metzger
ESAIM: M2AN, Forthcoming article
Received: 17 March 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025050

On the breathing of spectral bands in periodic quantum waveguides with inflating resonators

Lucas Chesnel and Sergei A. Nazarov
ESAIM: M2AN, Forthcoming article
Received: 18 January 2025 / Revised: 11 May 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025049