ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

The semi-implicit euler–maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of lévy processes p. 2329

Xiaotong Li, Wei Liu and Hongjiong Tian

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025061

• Abstract
• PDF (584.1 KB)
• References

Open Access

Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays p. 2349

Katia Ait-Ameur, Mohamed Essadki, Marc Massot and Teddy Pichard

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025057

• Abstract
• PDF (1.587 MB)
• References

Open Access

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method p. 2385

Erik Burman, Mingfei Lu and Lauri Oksanen

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025060

• Abstract
• PDF (1.771 MB)
• References

Open Access

Pointwise convergence of the local discontinuous Galerkin method on a Shishkin mesh for 2D reaction-diffusion problems p. 2415

Yao Cheng, Xuesong Wang and Martin Stynes

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025065

• Abstract
• PDF (1.211 MB)
• References

Open Access

Unconditionally stable space–time isogeometric discretization for the wave equation in Hamiltonian formulation p. 2447

Matteo Ferrari, Sara Fraschini, Gabriele Loli and Ilaria Perugia

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025056

• Abstract
• PDF (1.815 MB)
• References

Open Access

An abstract tool for comparing mixed- and equidimensional modeling p. 2491

Daniel Førland Holmen, Jan Martin Nordbotten and Jon Eivind Vatne

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025054

• Abstract
• PDF (821.2 KB)
• References

Open Access

The zero inertia limit for the Q-tensor model of liquid crystals: analysis and numerics p. 2515

Max Hirsch, Franziska Weber and Yukun Yue

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025067

• Abstract
• PDF (829.8 KB)
• References

Open Access

A stiffly stable semi-discrete scheme for the damped wave equation on the half-line using SBP and SAT techniques p. 2557

Nguyen Thi Hoai Thuong and Benjamin Boutin

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025069

• Abstract
• PDF (2.261 MB)
• References

Open Access

Maximum principle preserving and entropy stable time implicit DGSEM for nonlinear scalar conservation laws p. 2583

Florent Renac

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025070

• Abstract
• PDF (2.686 MB)
• References

Open Access

Using curved meshes to derive a priori error estimates for a linear elasticity problem with robin boundary conditions p. 2613

Joyce Ghantous

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025063

• Abstract
• PDF (1.467 MB)
• References

Open Access

A Godunov-type scheme and a relaxation scheme for second-order turbulence-moment models p. 2639

Nadjib Bennoura Bouchiba, Martin Ferrand and Jean-Marc Hérard

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025066

• Abstract
• PDF (1.860 MB)
• References

Open Access

Hybrid high-order methods for elasto-acoustic wave propagation in the time domain p. 2685

Romain Mottier, Alexandre Ern, Rekha Khot and Laurent Guillot

Published online: 17 September 2025

DOI: https://doi.org/10.1051/m2an/2025062

• Abstract
• PDF (3.792 MB)
• References

Open Access

Convergence rate of numerical scheme for SDEs with a distributional drift in Besov space p. 2717

Luis Mario Chaparro Jáquez, Elena Issoglio and Jan Palczewski

Published online: 29 September 2025

DOI: https://doi.org/10.1051/m2an/2025064

• Abstract
• PDF (873.0 KB)
• References

Open Access

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density p. 2739

Nicolás Espinoza-Contreras, Gabriel R. Barrenechea, Ernesto Castillo and Douglas R. Q. Pacheco

Published online: 29 September 2025

DOI: https://doi.org/10.1051/m2an/2025071

• Abstract
• PDF (950.3 KB)
• References

Open Access

HDG Methods for incompressible and immiscible two-phase flow in porous media: the existence and convergence of discrete solutions p. 2763

Haitao Leng and Huangxin Chen

Published online: 15 October 2025

DOI: https://doi.org/10.1051/m2an/2025074

• Abstract
• PDF (1.086 MB)
• References

Open Access

Bounding escape rates and approximating quasi-stationary distributions of Brownian dynamics p. 2789

Jason J. Bramburger

Published online: 15 October 2025

DOI: https://doi.org/10.1051/m2an/2025073

• Abstract
• PDF (744.9 KB)
• References

Open Access

A pressure-robust virtual element method for the Stokes problem p. 2809

Weihua Fang and Hongxing Rui

Published online: 15 October 2025

DOI: https://doi.org/10.1051/m2an/2025076

• Abstract
• PDF (1.261 MB)
• References

Open Access

hp-error analysis of a continuous Petrov–Galerkin time-stepping scheme for linear parabolic equations p. 2837

Zhe Li and Lijun Yi

Published online: 24 October 2025

DOI: https://doi.org/10.1051/m2an/2025077

• Abstract
• PDF (734.7 KB)
• References

Open Access

A fully segregated and unconditionally stable IMEX scheme for dispersed multiphase flows p. 2863

Douglas R. Q. Pacheco and Richard Schussnig

Published online: 24 October 2025

DOI: https://doi.org/10.1051/m2an/2025078

• Abstract
• PDF (1.264 MB)
• References