ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

A quasi-interpolation operator yielding fully computable error bounds p. 1

Theophile Chaumont-Frelet and Martin Vohralík

Published online: 30 January 2026

DOI: https://doi.org/10.1051/m2an/2025091

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Open Access

Residual-based a posteriori error estimation for a space-time discontinuous Galerkin formulation of the Richards equation p. 25

Scott Congreve and Hyun-Geun Shin

Published online: 30 January 2026

DOI: https://doi.org/10.1051/m2an/2025094

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Open Access

Error estimates of asymptotic-preserving neural networks in approximating stochastic linearized Boltzmann equation p. 51

Jiayu Wan, Liu Liu and Zhenyi Zhu

Published online: 30 January 2026

DOI: https://doi.org/10.1051/m2an/2025095

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Open Access

Dynamic output-based feedback stabilizability for linear parabolic equations with memory p. 83

Arbaz Khan, Sumit Mahajan and Sérgio S. Rodrigues

Published online: 30 January 2026

DOI: https://doi.org/10.1051/m2an/2025096

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Open Access

Finite element discretization of nonlinear models of ultrasound heating p. 111

Julio Careaga, Benjamin Dörich and Vanja Nikolić

Published online: 13 February 2026

DOI: https://doi.org/10.1051/m2an/2025099

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Open Access

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation p. 143

Thomas Bellotti

Published online: 13 February 2026

DOI: https://doi.org/10.1051/m2an/2025098

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Open Access

On the instabilities of naive FEM discretizations for PDEs with sign-changing coefficients p. 197

Martin Halla and Florian Oberender

Published online: 13 February 2026

DOI: https://doi.org/10.1051/m2an/2025102

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Open Access

Convergence analysis and error estimates for the CSRK schemes to conserved gradient flows p. 223

Jingwei Sun, Xu Qian, Hong Zhang and Jiwei Zhang

Published online: 13 February 2026

DOI: https://doi.org/10.1051/m2an/2025103

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Numerical solution of two dimensional scalar conservation laws using compact implicit numerical schemes on Cartesian meshes p. 247

Peter Frolkovič and Dagmar Žáková

Published online: 23 February 2026

DOI: https://doi.org/10.1051/m2an/2025097

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Open Access

Maxwell à la Helmholtz: Electromagnetic scattering by 3D perfect electric conductors via Helmholtz integral operators p. 273

Juan Burbano-Gallegos, Carlos Pérez-Arancibia and Catalin Turc

Published online: 23 February 2026

DOI: https://doi.org/10.1051/m2an/2025101

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Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime p. 317

Bin Wang, Zhen Miao and Yaolin Jiang

Published online: 23 February 2026

DOI: https://doi.org/10.1051/m2an/2026001

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Time discretization in convected linearized thermo-visco-elastodynamics at large displacements p. 347

Tomáš Roubíček

Published online: 05 March 2026

DOI: https://doi.org/10.1051/m2an/2026003

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Open Access

Asymptotic analysis of high order IMEX-RK methods for ES-BGK model at Navier-Stokes level p. 377

Sebastiano Boscarino and Seung Yeon Cho

Published online: 05 March 2026

DOI: https://doi.org/10.1051/m2an/2026002

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Open Access

Nitsche stabilized virtual element approximations for a Brinkman problem with mixed boundary conditions p. 411

David Mora, Jesus Vellojin and Nitesh Verma

Published online: 11 March 2026

DOI: https://doi.org/10.1051/m2an/2026005

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Open Access

A generalized framework for higher-order Localized Orthogonal Decomposition methods p. 445

Moritz Hauck, Alexei Lozinski and Roland Maier

Published online: 11 March 2026

DOI: https://doi.org/10.1051/m2an/2026006

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