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

ESAIM: M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Read more

ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) is being published under Subscribe to Open. All articles are published in open access free of charge under a CC-BY 4.0 license.
More information and FAQs are available here. To discuss or join the programme, please contact us.

Open Access

Error Estimates For Sparse Tensor Products of B-spline Approximation Spaces

Clément Guillet

ESAIM: M2AN, 60 4 (2026) 1549-1573

Published online: 08 July 2026
Open Access

A Discontinuous Galerkin Method for One-Dimensional Nonlocal Wave Problems

Qiang Du, Kui Ren, Lu Zhang and Yin Zhou

ESAIM: M2AN, 60 4 (2026) 1575-1599

Published online: 08 July 2026
Open Access

Traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

Claire Alamichel and Nicolas Meunier

ESAIM: M2AN, 60 3 (2026) 1503-1524

Published online: 26 June 2026
Open Access

Deep ReLU neural network emulation in high-frequency acoustic scattering

Fernando Henríquez and Christoph Schwab

ESAIM: M2AN, 60 3 (2026) 1525-1547

Published online: 26 June 2026
Open Access

Efficient linear schemes for a penalized ternary Cahn–Hilliard system

Justin Swain and Giordano Tierra Chica

ESAIM: M2AN, 60 3 (2026) 1363-1410

Published online: 05 June 2026
Open Access

Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy

Arnaud Duran and Gaël L. Richard

ESAIM: M2AN, 60 3 (2026) 1411-1449

Published online: 05 June 2026
Open Access

Numerical analysis of the Landau-Lifshitz-Bloch equation with spin-torques

Agus L. Soenjaya

ESAIM: M2AN, 60 3 (2026) 1451-1501

Published online: 05 June 2026
Open Access

An inverse problem in cell dynamics: recovering an initial distribution of Telomere lengths from measurements of senescence times

Jules Olayé

ESAIM: M2AN, 60 3 (2026) 1081-1133

Published online: 01 June 2026
Open Access

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun’s equation

Martin Halla, Christoph Lehrenfeld and Tim van Beeck

ESAIM: M2AN, 60 3 (2026) 1135-1175

Published online: 01 June 2026

Most read articles

Open Access

Gaussian and Poisson noise identification using non-convex optimization with L²-norm power constraints

Ziad Zaabouli, Lekbir Afraites, Amine Laghrib and Aissam Hadri

ESAIM: M2AN, 59 3 (2025) 1705-1727

Published online: 30 June 2025

Free Access

Discrete Sobolev inequalities and L^p error estimates for finite volume solutions of convection diffusion equations

Yves Coudière, Thierry Gallouët and Raphaèle Herbin

ESAIM: M2AN, 35 4 (2001) 767-778

Published online: 15 April 2002

Free Access

Distributed shape derivative via averaged adjoint method and applications

Antoine Laurain and Kevin Sturm

ESAIM: M2AN, 50 4 (2016) 1241-1267

Published online: 14 July 2016

Open Access

Exact simulation of first exit times for one-dimensional diffusion processes

Samuel Herrmann and Cristina Zucca

ESAIM: M2AN, 54 3 (2020) 811-844

Published online: 01 April 2020

Free Access

Convergence Rates of the POD–Greedy Method

Bernard Haasdonk

ESAIM: M2AN, 47 3 (2013) 859-873

Published online: 17 April 2013

Recent articles (published in the past 5 years)

Open Access

Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations

Cheng Wang, Jilu Wang, Zeyu Xia and Liwei Xu

ESAIM: M2AN, 56 3 (2022) 767-789

Published online: 25 April 2022

Free Access

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

Giulia Bertaglia and Lorenzo Pareschi

ESAIM: M2AN, 55 2 (2021) 381-407

Published online: 15 March 2021

Free Access

Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions

Patrik Knopf, Kei Fong Lam, Chun Liu and Stefan Metzger

ESAIM: M2AN, 55 1 (2021) 229-282

Published online: 18 February 2021

Open Access

Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity

Chuanjun Chen and Xiaofeng Yang

ESAIM: M2AN, 55 5 (2021) 2323-2347

Published online: 21 October 2021

Open Access

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Jan S. Hesthaven, Cecilia Pagliantini and Nicolò Ripamonti

ESAIM: M2AN, 56 2 (2022) 617-650

Published online: 08 March 2022

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

Error Estimates For Sparse Tensor Products of B-spline Approximation Spaces

A Discontinuous Galerkin Method for One-Dimensional Nonlocal Wave Problems

Traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

Deep ReLU neural network emulation in high-frequency acoustic scattering

Efficient linear schemes for a penalized ternary Cahn–Hilliard system

Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy

Numerical analysis of the Landau-Lifshitz-Bloch equation with spin-torques

An inverse problem in cell dynamics: recovering an initial distribution of Telomere lengths from measurements of senescence times

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun’s equation

Gaussian and Poisson noise identification using non-convex optimization with L²-norm power constraints

Discrete Sobolev inequalities and L^p error estimates for finite volume solutions of convection diffusion equations

Distributed shape derivative via averaged adjoint method and applications

Exact simulation of first exit times for one-dimensional diffusion processes

Convergence Rates of the POD–Greedy Method

Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation

Gaussian and Poisson noise identification using non-convex optimization with L²-norm power constraints

Discrete Sobolev inequalities and L^p error estimates for finite volume solutions of convection diffusion equations

Distributed shape derivative via averaged adjoint method and applications

Exact simulation of first exit times for one-dimensional diffusion processes

Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation

Lowest-order nonstandard finite element methods for time-fractional biharmonic problem

The mathematical theory of low Mach number flows

Gaussian and Poisson noise identification using non-convex optimization with L²-norm power constraints

Discrete Sobolev inequalities and L^p error estimates for finite volume solutions of convection diffusion equations

Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions

Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

2025 Impact Factor*: 2

2025 5-Year Impact Factor*: 2

Sign up for email alerts

News