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ESAIM: Mathematical Modelling and Numerical Analysis

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Open Access

Convergence bounds for empirical nonlinear least-squares

Received: 02 April 2020 / Revised: 17 July 2021 / Accepted: 20 October 2021
DOI: https://doi.org/10.1051/m2an/2021070
Open Access

An asymptotic preserving scheme for a tumor growth model of porous medium type

Received: 24 May 2021 / Revised: 11 October 2021 / Accepted: 06 December 2021
DOI: https://doi.org/10.1051/m2an/2021080
Open Access

Bridging the Multiscale Hybrid-Mixed and Multiscale Hybrid High-Order methods

Received: 25 May 2021 / Revised: 07 December 2021 / Accepted: 09 December 2021
DOI: https://doi.org/10.1051/m2an/2021082
Open Access

Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty

Received: 07 June 2021 / Revised: 25 November 2021 / Accepted: 14 December 2021
DOI: https://doi.org/10.1051/m2an/2021084
Open Access

Lower-order equivalent nonstandard finite element methods for biharmonic plates

Received: 19 August 2021 / Revised: 12 December 2021 / Accepted: 14 December 2021
DOI: https://doi.org/10.1051/m2an/2021085
Open Access

Gibbs phenomena for Lq-best approximation in finite element spaces

Received: 22 December 2020 / Revised: 30 September 2021 / Accepted: 16 December 2021
DOI: https://doi.org/10.1051/m2an/2021086
Open Access

Exact solution and the multidimensional Godunov scheme for the acoustic equations

Received: 07 September 2018 / Revised: 01 December 2021 / Accepted: 20 December 2021
DOI: https://doi.org/10.1051/m2an/2021087
Open Access

Numerical computation of the cut locus via a variational approximation of the distance function

Received: 16 June 2020 / Revised: 08 December 2021 / Accepted: 20 December 2021
DOI: https://doi.org/10.1051/m2an/2021088
Open Access

Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme

Received: 09 October 2020 / Revised: 25 June 2021 / Accepted: 22 December 2021
DOI: https://doi.org/10.1051/m2an/2021089
Open Access

Convergence analysis of two finite element methods for the modified Maxwell's Steklov eigenvalue problem

Received: 21 May 2021 / Revised: 13 November 2021 / Accepted: 03 January 2022
DOI: https://doi.org/10.1051/m2an/2022001
Open Access

Network models for nonlocal traffic flow

Received: 30 April 2021 / Revised: 05 October 2021 / Accepted: 03 January 2022
DOI: https://doi.org/10.1051/m2an/2022002
Open Access

Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell

Received: 06 April 2021 / Revised: 31 December 2021 / Accepted: 04 January 2022
DOI: https://doi.org/10.1051/m2an/2022003
Open Access

Mathematical analysis of Goldstein's model for time harmonic acoustics in flow

Received: 04 August 2021 / Revised: 05 January 2022 / Accepted: 10 January 2022
DOI: https://doi.org/10.1051/m2an/2022007
Open Access

A modified Kacanov iteration scheme with application to quasilinear diffusion models

Received: 08 March 2021 / Revised: 13 January 2022 / Accepted: 13 January 2022
DOI: https://doi.org/10.1051/m2an/2022008
Open Access

The Adaptive Biasing Force algorithm with non-conservative forces and related topics

Received: 04 March 2021 / Revised: 19 January 2022 / Accepted: 21 January 2022
DOI: https://doi.org/10.1051/m2an/2022010
Open Access

A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source

Received: 02 November 2020 / Revised: 21 November 2021 / Accepted: 11 January 2022
DOI: https://doi.org/10.1051/m2an/2022005
Open Access

An offline-online strategy for multiscale problems with random defects

Received: 02 February 2021 / Revised: 07 December 2021 / Accepted: 10 January 2022
DOI: https://doi.org/10.1051/m2an/2022006