ESAIM: Mathematical Modelling and Numerical Analysis

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Multilevel weighted least squares polynomial approximation

Received: 04 October 2017 / Revised: 28 January 2019 / Accepted: 21 June 2019
DOI: https://doi.org/10.1051/m2an/2019045

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Received: 22 December 2018 / Revised: 15 May 2019 / Accepted: 30 June 2019
DOI: https://doi.org/10.1051/m2an/2019050

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

Received: 26 March 2019 / Revised: 20 July 2019 / Accepted: 22 August 2019
DOI: https://doi.org/10.1051/m2an/2019054

Well–posedness of a non-local model for material flow on conveyor belts

Received: 20 February 2019 / Revised: 09 July 2019 / Accepted: 26 August 2019
DOI: https://doi.org/10.1051/m2an/2019062

Continuum limit of the nonlocal $p$-Laplacian evolution problem on random inhomogeneous graphs

Received: 26 April 2019 / Revised: 21 August 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019066
Review

Numerical approximations for fractional elliptic equations via the method of semigroups

Received: 29 December 2018 / Revised: 08 June 2019 / Accepted: 23 October 2019
DOI: https://doi.org/10.1051/m2an/2019076

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

Received: 09 May 2019 / Revised: 25 September 2019 / Accepted: 24 October 2019
DOI: https://doi.org/10.1051/m2an/2019077

Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations.

Received: 03 August 2018 / Revised: 22 May 2019 / Accepted: 06 November 2019
DOI: https://doi.org/10.1051/m2an/2019079

Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $P^k$ elements

Received: 25 July 2019 / Revised: 25 September 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019080

Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis

Received: 15 February 2018 / Revised: 08 October 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019081

Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium

Received: 30 April 2019 / Revised: 14 October 2019 / Accepted: 22 November 2019
DOI: https://doi.org/10.1051/m2an/2019082

Numerical analysis of sparse initial data identification for parabolic problems

Received: 02 May 2019 / Revised: 07 November 2019 / Accepted: 25 November 2019
DOI: https://doi.org/10.1051/m2an/2019083

Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems

Received: 15 June 2019 / Revised: 22 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019086

Computation of the magnetic potential induced by a collection of spherical particles using series expansions

Received: 15 July 2019 / Revised: 26 November 2019 / Accepted: 02 December 2019
DOI: https://doi.org/10.1051/m2an/2019087

Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology

Received: 21 August 2019 / Revised: 25 November 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019088

An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

Received: 15 March 2019 / Revised: 29 October 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019089

Convergence of second-order, entropy stable methods for multi-dimensional conservation laws

Received: 12 June 2019 / Revised: 05 December 2019 / Accepted: 10 December 2019
DOI: https://doi.org/10.1051/m2an/2019090

Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincare eigenfunctions

Received: 07 May 2019 / Revised: 10 November 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019091

Finite element approximation of elliptic homogenization problems in nondivergence-form

Received: 28 May 2019 / Revised: 21 October 2019 / Accepted: 18 December 2019
DOI: https://doi.org/10.1051/m2an/2019093

Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation

Received: 15 April 2019 / Revised: 16 December 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019095

Reduced basis greedy selection using random training sets

Received: 22 October 2018 / Revised: 18 October 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020004

On time-splitting methods for nonlinear Schr\"{o}dinger equation with highly oscillatory potential

Received: 31 January 2019 / Revised: 12 September 2019 / Accepted: 20 January 2020
DOI: https://doi.org/10.1051/m2an/2020006

A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

Received: 11 March 2019 / Revised: 23 January 2020 / Accepted: 24 January 2020
DOI: https://doi.org/10.1051/m2an/2020007

Trend to equilibrium for systems with small cross-diffusion

Received: 19 June 2019 / Revised: 19 January 2020 / Accepted: 04 February 2020
DOI: https://doi.org/10.1051/m2an/2020008

A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem

Received: 08 August 2019 / Revised: 05 February 2020 / Accepted: 09 February 2020
DOI: https://doi.org/10.1051/m2an/2020009

A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary

Received: 22 May 2019 / Revised: 24 January 2020 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020010

A dual hybrid Virtual Element Method for plane elasticity problems

Received: 12 February 2019 / Revised: 01 November 2019 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020011

Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise

Received: 29 October 2019 / Revised: 12 February 2020 / Accepted: 17 February 2020
DOI: https://doi.org/10.1051/m2an/2020012