Sommaire du Fascicule no. 1

Representation of capacity drop at a road merge via point constraints in a first order traffic model
Heterogeneous Multiscale Method for the Maxwell equations with high contrast
A thermodynamically consistent model of a liquid-vapor fluid with a gas
A variant of the plane wave least squares method for the time-harmonic Maxwell’s equations
Stability analysis and error estimates of arbitrary Lagrangian–Eulerian discontinuous Galerkin method coupled with Runge–Kutta time-marching for linear conservation laws
A variational formulation of the BDF2 method for metric gradient flows
Augmented Lagrangian finite element methods for contact problems
A posteriori error estimation for Magnus-type integrators
Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants
An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap
Towards a new friction model for shallow water equations through an interactive viscous layer
Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator
The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition

Sommaire du Fascicule no. 2

Finite element approximation of the Isaacs equation
The Virtual Element Method with curved edges
A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model
Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation
Anisotropic polygonal and polyhedral discretizations in finite element analysis
Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II
A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain
Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation
An Eulerian finite element method for PDEs in time-dependent domains
Numerical complete solution for random genetic drift by energetic variational approach
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics
Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime

Sommaire du Fascicule no. 3

An easily computable error estimator in space and time for the wave equation
The nonconforming Virtual Element Method for eigenvalue problems
Modeling and optimizing a road de-icing device by a nonlinear heating
Phase-field modelling and computing for a large number of phases
Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields
Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
Entropy stable essentially nonoscillatory methods based on RBF reconstruction
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization
Relaxation and simulation of a barotropic three-phase flow model
Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs

Sommaire du Fascicule no. 4

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
Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
Variational method for a backward problem for a time-fractional diffusion equation
Numerical approximation of stochastic time-fractional diffusion
A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications
A three-phase flow model with two miscible phases
A dynamic multilayer shallow water model for polydisperse sedimentation

Sommaire du Fascicule no. 5

A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes
Convergence of the finite volume method on a Schwarzschild background
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients
Raviart–Thomas finite elements of Petrov–Galerkin type
Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems
On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems
Convergence of a homotopy finite element method for computing steady states of Burgers’ equation
Quasi-optimality of an Adaptive Finite Element Method for Cathodic Protection
Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space
New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis
Splitting method for elliptic equations with line sources
Stability of numerical methods under the regime-switching jump-diffusion model with variable coefficients
A relaxation scheme for a hyperbolic multiphase flow model Part I: Barotropic EOS

Sommaire du Fascicule no. 6

Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature
Adaptive Uzawa algorithm for the Stokes equation
Finite element method with local damage of the mesh
Energy-corrected FEM and explicit time-stepping for parabolic problems
A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
Convergence of a finite volume scheme for the compressible Navier–Stokes system
Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface
A mixed ℓ1 regularization approach for sparse simultaneous approximation of parameterized PDEs
Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry
Convergence of exponential Lawson-multistep methods for the MCTDHF equations
A posteriori error estimates for Darcy’s problem coupled with the heat equation