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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.

Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere

João Guilherme Caldas Steinstraesser, Martin Schreiber and Pedro S. Peixoto
ESAIM: M2AN, Forthcoming article
Received: 01 July 2024 / Revised: 11 April 2025 / Accepted: 22 April 2025
DOI: https://doi.org/10.1051/m2an/2025034

Convergence of a steepest descent algorithm in shape optimisation using $W^{1,\infty}$ functions

Klaus Deckelnick, Philip Justin Herbert and Michael Hinze
ESAIM: M2AN, Forthcoming article
Received: 23 October 2023 / Revised: 04 March 2025 / Accepted: 11 April 2025
DOI: https://doi.org/10.1051/m2an/2025033

An Antithetic Multilevel Monte Carlo-Milstein Scheme for Stochastic Partial Differential Equations with non-commutative noise

Abdul Lateef Haj Ali and Andreas Stein
ESAIM: M2AN, Forthcoming article
Received: 28 August 2023 / Revised: 27 August 2024 / Accepted: 07 April 2025
DOI: https://doi.org/10.1051/m2an/2025031

High moment and pathwise error estimates for fully discrete mixed finite element approximations of the Stochastic Stokes Equations with Multiplicative Noise

Liet Vo
ESAIM: M2AN, Forthcoming article
Received: 12 December 2023 / Revised: 21 September 2024 / Accepted: 05 April 2025
DOI: https://doi.org/10.1051/m2an/2025030

Limit consistency of lattice Boltzmann equations

Stephan Simonis and Mathias J. Krause
ESAIM: M2AN, Forthcoming article
Received: 15 February 2024 / Revised: 30 January 2025 / Accepted: 31 March 2025
DOI: https://doi.org/10.1051/m2an/2025026

A variant of the Raviart-Thomas method to handle smooth domains using straight-edged triangles.

Vitoriano Ruas and Fleurianne Bertrand
ESAIM: M2AN, Forthcoming article
Received: 31 January 2024 / Revised: 30 March 2025 / Accepted: 31 March 2025
DOI: https://doi.org/10.1051/m2an/2025028

Numerical approximation of the unique continuation problem enriched by a database for the Stokes equations

Corrie James, Muriel Boulakia and Damiano Lombardi
ESAIM: M2AN, Forthcoming article
Received: 04 October 2024 / Revised: 05 March 2025 / Accepted: 29 March 2025
DOI: https://doi.org/10.1051/m2an/2025024

Flow updates for domain decomposition of entropic optimal transport

Bernhard Schmitzer and Ismael Medina
ESAIM: M2AN, Forthcoming article
Received: 16 May 2024 / Revised: 09 December 2024 / Accepted: 25 March 2025
DOI: https://doi.org/10.1051/m2an/2025022

A nonconforming Virtual Element Method for advection-diffusion-reaction problems with CIP stabilization

MANUEL LUIGI TREZZI, Carlo Lovadina and Ilaria Perugia
ESAIM: M2AN, Forthcoming article
Received: 16 July 2024 / Revised: 23 February 2025 / Accepted: 25 March 2025
DOI: https://doi.org/10.1051/m2an/2025023

Gradient flows of interacting Laguerre cells as discrete porous media flows

Andrea Natale
ESAIM: M2AN, Forthcoming article
Received: 24 July 2024 / Revised: 11 March 2025 / Accepted: 24 March 2025
DOI: https://doi.org/10.1051/m2an/2025021

Stability and error analysis of pressure-correction scheme for the Navier-Stokes-Planck-Nernst-Poisson equations

Yuyu He and Hongtao Chen
ESAIM: M2AN, Forthcoming article
Received: 14 May 2024 / Revised: 09 January 2025 / Accepted: 23 March 2025
DOI: https://doi.org/10.1051/m2an/2025020

Convergence of particles and tree based scheme for singular FBSDEs

Jean-Francois Chassagneux and Mohan Yang
ESAIM: M2AN, Forthcoming article
Received: 06 March 2023 / Revised: 09 October 2024 / Accepted: 30 December 2024
DOI: https://doi.org/10.1051/m2an/2024086