Issue no. 1 Table of Contents

Existence and uniqueness of solutions to dynamical unilateral contact problems with coulomb friction: the case of a collection of points
Multiscale modelling of sound propagation through the lung parenchyma
A numerical perspective on Hartree-Fock-Bogoliubov theory
A Bermúdez-Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes
Non linear schemes for the heat equation in 1D
Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
A robust entropy-satisfying finite volume scheme for the isentropic Baer-Nunziato model
Accurate and online-efficient evaluation of the a posteriori error bound in the reduced basis method
A hyperbolic model of chemotaxis on a network: a numerical study
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
Stabilization of a non standard FETI-DP mortar method for the Stokes problem

Issue no. 2 Table of Contents

Multiscale problems and techniques. Special Issue

Preface
Which electric fields are realizable in conducting materials?
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential
Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations
Sweeping preconditioners for elastic wave propagation with spectral element methods
A Multiscale Model Reduction Method for Partial Differential Equations
A Multiscale Enrichment Procedure for Nonlinear Monotone Operators
Machine Computation Using the Exponentially Convergent Multiscale Spectral Generalized Finite Element Method
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
Analysis of Compatible Discrete Operator schemes for elliptic problems on polyhedral meshes
Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR)
A modified quasi-boundary value method for the backward time-fractional diffusion problem

Issue no. 3 Table of Contents

Double greedy algorithms: Reduced basis methods for transport dominated problems
A positivity preserving central scheme for shallow water flows in channels with wet-dry states
Convergence of a variational lagrangian scheme for a nonlinear drift diffusion equation
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM
Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods
Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations
Parallel Schwarz Waveform Relaxation Algorithm for an N-dimensional semilinear heat equation
Multiscale Finite Element approach for “weakly” random problems and related issues
Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes' problem
Space-time variational saddle point formulations of Stokes and Navier-Stokes equations
Interface model coupling via prescribed local flux balance
Numerical analysis of history-dependent quasivariational inequalities with applications in contact mechanics

Issue no. 4 Table of Contents

A weighted empirical interpolation method: a priori convergence analysis and applications
A new quadrilateral MINI-element for Stokes equations
A mixed formulation of a sharp interface model of stokes flow with moving contact lines
Reconstruction of thickness variation of a dielectric coating through the generalized impedance boundary conditions
High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues
Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system
A reduced model for Darcy's problem in networks of fractures
Anisotropic mesh refinement in polyhedral domains: error estimates with data in L 2 (Ω)
Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary
Formal passage from kinetic theory to incompressible Navier-Stokes equations for a mixture of gases
An efficient computational framework for reduced basis approximation and a posteriori error estimation of parametrized Navier-Stokes flows
Basic principles of mixed Virtual Element Methods

Issue no. 5 Table of Contents

Time domain simulation of a piano. Part 1: model description
The periodic unfolding method for a class of parabolic problems with imperfect interfaces
Parameter estimation in non-linear mixed effects models with SAEM algorithm: extension from ODE to PDE
A localized orthogonal decomposition method for semi-linear elliptic problems
Measuring the Irreversibility of Numerical Schemes for Reversible Stochastic Differential Equations
Adaptive mesh refinement strategy for a non conservative transport problem
Error estimates for Stokes problem with Tresca friction conditions
Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer
Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture
Robust operator estimates and the application to substructuring methods for first-order systems
Scalar boundary value problems on junctions of thin rods and plates
Mathematical modeling of time-harmonic aeroacoustics with a generalized impedance boundary condition

Issue no. 6 Table of Contents

A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
Derivation of a homogenized two-temperature model from the heat equation
A Posteriori Error Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law
The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time
Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux
Regularity and approximability of the solutions to the chemical master equation
A tensor approximation method based on ideal minimal residual formulations for the solution of high-dimensional problems
On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
Moving Dirichlet boundary conditions