ESAIM: Mathematical Modelling and Numerical Analysis

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convergence of a homotopy finite element method for computing steady states of Burgers' equation

Received: 07 July 2017 / Revised: 20 June 2018 / Accepted: 17 July 2018
DOI: https://doi.org/10.1051/m2an/2018046

An easily computable error estimator in space and time for the wave equation

Received: 25 October 2017 / Revised: 18 May 2018 / Accepted: 25 August 2018
DOI: https://doi.org/10.1051/m2an/2018049

study of an asymptotic preserving scheme for the quasi-neutral Euler-Boltzmann system in the drift regime

Received: 04 December 2017 / Revised: 26 July 2018 / Accepted: 08 November 2018
DOI: https://doi.org/10.1051/m2an/2018070

The nonconforming virtual element method for eigenvalue problems

Received: 08 February 2018 / Revised: 31 October 2018 / Accepted: 29 November 2018
DOI: https://doi.org/10.1051/m2an/2018074

Phase-field modelling and computing for a large number of phases

Received: 14 May 2018 / Revised: 19 November 2018 / Accepted: 13 December 2018
DOI: https://doi.org/10.1051/m2an/2018075

Path-Conservative Central-Upwind Schemes for Nonconservative Hyperbolic Systems

Received: 10 April 2018 / Revised: 06 December 2018 / Accepted: 20 December 2018
DOI: https://doi.org/10.1051/m2an/2018077

A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes

Received: 08 June 2018 / Revised: 17 December 2018 / Accepted: 11 January 2019
DOI: https://doi.org/10.1051/m2an/2019003

Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications

Received: 28 October 2018 / Revised: 17 December 2018 / Accepted: 24 January 2019
DOI: https://doi.org/10.1051/m2an/2019004

Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension

Received: 16 March 2017 / Revised: 17 December 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019005

Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields

Received: 11 April 2018 / Revised: 21 November 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019006

Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition

Received: 25 September 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019008

Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization

Received: 11 May 2018 / Revised: 20 November 2018 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019009

Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

Received: 03 August 2018 / Revised: 24 January 2019 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019010

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

Received: 13 August 2018 / Revised: 11 January 2019 / Accepted: 11 February 2019
DOI: https://doi.org/10.1051/m2an/2019011

Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs

Received: 18 July 2018 / Revised: 03 February 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019012

Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance

Received: 19 July 2018 / Revised: 26 January 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019013

Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

Received: 26 June 2018 / Revised: 15 January 2019 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019014

A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square

Received: 20 December 2017 / Revised: 14 December 2018 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019015

On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

Received: 02 June 2018 / Revised: 20 December 2018 / Accepted: 08 March 2019
DOI: https://doi.org/10.1051/m2an/2019018

Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems

Received: 11 December 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019021

A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations

Received: 27 July 2018 / Revised: 17 December 2018 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019022

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications

Received: 25 July 2018 / Revised: 07 March 2019 / Accepted: 16 March 2019
DOI: https://doi.org/10.1051/m2an/2019024

On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems

Received: 29 October 2017 / Revised: 19 February 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019029

A dynamic multilayer shallow water model for polydisperse sedimentation.

Received: 26 March 2018 / Revised: 25 January 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019032

Splitting method for elliptic equations with line sources

Received: 25 October 2018 / Revised: 14 March 2019 / Accepted: 18 April 2019
DOI: https://doi.org/10.1051/m2an/2019027

Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients

Received: 30 April 2017 / Revised: 30 October 2018 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019016

Stability of numerical methods under the regime-switching jump-diffusion model with variable coefficients

Received: 02 July 2018 / Revised: 18 March 2019 / Accepted: 02 May 2019
DOI: https://doi.org/10.1051/m2an/2019035

New volume consistent approximation for binary breakage population balance equation and its convergence analysis

Received: 20 November 2018 / Revised: 30 April 2019 / Accepted: 07 May 2019
DOI: https://doi.org/10.1051/m2an/2019036

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Received: 06 March 2018 / Revised: 24 November 2018 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019030