ESAIM: Mathematical Modelling and Numerical Analysis

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PDE-convergence in Euclidean norm of AMF-W methods for linear multidimensional parabolic problems

Received: 29 December 2022 / Revised: 15 August 2023 / Accepted: 15 November 2023
DOI: https://doi.org/10.1051/m2an/2023094

Uncertainty quantification for Fisher-Kolmogorov equation on graphs with application to patient-specific Alzheimer's disease

Received: 05 May 2023 / Revised: 12 September 2023 / Accepted: 17 November 2023
DOI: https://doi.org/10.1051/m2an/2023095

Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

Received: 10 May 2023 / Revised: 20 November 2023 / Accepted: 11 January 2024
DOI: https://doi.org/10.1051/m2an/2024005

Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems

Received: 30 August 2022 / Revised: 07 November 2023 / Accepted: 13 March 2024
DOI: https://doi.org/10.1051/m2an/2024019

Optimized Schwarz Waveform Relaxation method for the incompressible Stokes problem

Received: 24 May 2023 / Revised: 15 January 2024 / Accepted: 13 March 2024
DOI: https://doi.org/10.1051/m2an/2024020

High order asymptotic preserving scheme for diffusive scaled linear kinetic equations with general initial conditions

Received: 29 August 2023 / Revised: 27 February 2024 / Accepted: 13 April 2024
DOI: https://doi.org/10.1051/m2an/2024028

Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology

Received: 04 December 2023 / Revised: 22 March 2024 / Accepted: 22 April 2024
DOI: https://doi.org/10.1051/m2an/2024030

Analysis of a positivity-preserving splitting scheme for some semilinear stochastic heat equations

Received: 02 March 2023 / Revised: 15 December 2023 / Accepted: 29 April 2024
DOI: https://doi.org/10.1051/m2an/2024032

Error estimates for a mixed finite element method for the Maxwell’s transmission eigenvalue problem

Received: 12 December 2023 / Revised: 28 February 2024 / Accepted: 30 April 2024
DOI: https://doi.org/10.1051/m2an/2024033

Numerical solutions to hyperbolic Maxwell quasi-variational inequalities in Bean-Kim model for type-II superconductivity

Received: 15 January 2024 / Revised: 03 April 2024 / Accepted: 30 April 2024
DOI: https://doi.org/10.1051/m2an/2024034

An explicit well-balanced scheme on staggered grids for barotropic Euler equations

Received: 04 May 2023 / Revised: 25 March 2024 / Accepted: 07 May 2024
DOI: https://doi.org/10.1051/m2an/2024035

An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source

Received: 27 September 2023 / Revised: 26 April 2024 / Accepted: 15 May 2024
DOI: https://doi.org/10.1051/m2an/2024037

Contraction Rate Estimates of Stochastic Gradient Kinetic Langevin Integrators

Received: 14 June 2023 / Revised: 01 May 2024 / Accepted: 16 May 2024
DOI: https://doi.org/10.1051/m2an/2024038

A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition

Received: 26 April 2023 / Revised: 22 April 2024 / Accepted: 21 May 2024
DOI: https://doi.org/10.1051/m2an/2024040

Elastostatics within multi-layer metamaterial structures and an algebraic framework for polariton resonances

Received: 20 June 2023 / Revised: 09 April 2024 / Accepted: 21 May 2024
DOI: https://doi.org/10.1051/m2an/2024041

A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws

Received: 13 December 2023 / Revised: 13 May 2024 / Accepted: 25 May 2024
DOI: https://doi.org/10.1051/m2an/2024042

A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws

Received: 23 February 2024 / Revised: 03 May 2024 / Accepted: 25 May 2024
DOI: https://doi.org/10.1051/m2an/2024043

A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes/Biot problem

Received: 22 August 2023 / Revised: 06 February 2024 / Accepted: 04 June 2024
DOI: https://doi.org/10.1051/m2an/2024045

Stability and space/time convergence of Störmer-Verlet time integration of the mixed formulation of linear wave equations

Received: 28 August 2023 / Revised: 26 April 2024 / Accepted: 11 June 2024
DOI: https://doi.org/10.1051/m2an/2024047

Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains

Received: 11 August 2023 / Revised: 12 April 2024 / Accepted: 15 June 2024
DOI: https://doi.org/10.1051/m2an/2024050

Note on quasi-optimal error estimates for the pressure for shear-thickening fluids

Received: 05 February 2024 / Revised: 29 May 2024 / Accepted: 21 June 2024
DOI: https://doi.org/10.1051/m2an/2024051

Linearly implicit time integration scheme of Lagrangian systems via quadratization of a nonlinear kinetic energy. Application to a rotating flexible piano hammer shank.

Received: 17 August 2023 / Revised: 14 May 2024 / Accepted: 13 June 2024
DOI: https://doi.org/10.1051/m2an/2024049