Issue no. 1 Table of Contents

A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport
p. 1-32
Mortar spectral method in axisymmetric domains
p. 33-55
Consistency, accuracy and entropy behaviour of remeshed particle methods
p. 57-81
The extended adjoint method
p. 83-108
An analysis of the boundary layer in the 1D surface Cauchy-Born model
p. 109-123
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
p. 125-147
A general semilocal convergence result for Newton's method under centered conditions for the second derivative
p. 149-167
The discrete compactness property for anisotropic edge elements on polyhedral domains
p. 169-181
Error estimates for the ultra weak variational formulation in linear elasticity
p. 183-211
A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation
p. 213-251
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
p. 253-280
Error estimates for a FitzHugh-Nagumo parameter-dependent reaction-diffusion system
p. 281-304
Bound states of a converging quantum waveguide
p. 305-315

Issue no. 2 Table of Contents

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
p. 317-348
Correctors and field fluctuations for the p ε (x)-laplacian with rough exponents : The sublinear growth case
p. 349-375
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
p. 377-399
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension
p. 401-420
The continuous Coupled Cluster formulation for the electronic Schrödinger equation
p. 421-447
A priori error estimates for reduced order models in finance
p. 449-469
A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem
p. 471-506
Air entrainment in transient flows in closed water pipes : A two-layer approach
p. 507-538
Time-dependent coupling of Navier-Stokes and Darcy flows
p. 539-554
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
p. 555-581
Optimized Schwarz Methods for the Bidomain system in electrocardiology
p. 583-608
Analysis of an Asymptotic Preserving Scheme for Relaxation Systems
p. 609-633

Issue no. 3 Table of Contents

Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification
p. 635-662
On power series solutions for the Euler equation, and the Behr-Nečas-Wu initial datum
p. 663-688
A piecewise P 2 -nonconforming quadrilateral finite element
p. 689-715
Symmetric parareal algorithms for hamiltonian systems
p. 717-742
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
p. 743-769
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints
p. 771-787
Dual-mixed finite element methods for the Navier-Stokes equations
p. 789-805
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data
p. 807-835
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations
p. 837-858
Convergence Rates of the POD-Greedy Method
p. 859-873
An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions
p. 875-902
Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
p. 903-932

Issue no. 4 Table of Contents

Direct and inverse modeling of the cardiovascular and respiratory systems. Numéro spécial

Preface
p. 933-934
Modeling of the oxygen transfer in the respiratory process
p. 935-960
Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm
p. 961-985
A predictive method allowing the use of a single ionic model in numerical cardiac electrophysiology
p. 987-1016
A comparison of coupled and uncoupled solvers for the cardiac Bidomain model
p. 1017-1035
Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem
p. 1037-1057
Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry and in vivo stress incorporation
p. 1059-1075
Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
p. 1077-1106
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
p. 1107-1131
A quasi-variational inequality problem arising in the modeling of growing sandpiles
p. 1133-1165
On uniqueness in electromagnetic scattering from biperiodic structures
p. 1167-1184
Quadratic finite elements with non-matching grids for the unilateral boundary contact
p. 1185-1205
Each H 1/2 -stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in R d
p. 1207-1235

Issue no. 5 Table of Contents

On the convergence of the stochastic Galerkin method for random elliptic partial differential equations
p. 1237-1263
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics
p. 1265-1286
Numerical analysis of parallel replica dynamics
p. 1287-1314
A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations
p. 1315-1333
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
p. 1335-1366
Modèle effectif de couche mince rugueuse périodique sur une structure semi-infinie
p. 1367-1386
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
p. 1387-1412
A simple and efficient scheme for phase field crystal simulation
p. 1413-1432
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
p. 1433-1464
Numerical Approximations of the Dynamical System Generated by Burgers' Equation with Neumann-Dirichlet Boundary Conditions
p. 1465-1492
Lagrangian approach to deriving energy-preserving numerical schemes for the Euler-Lagrange partial differential equations
p. 1493-1513
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation
p. 1515-1531
First order second moment analysis for stochastic interface problems based on low-rank approximation
p. 1533-1552

Issue no. 6 Table of Contents

Error estimates for the Coupled Cluster method
p. 1553-1582
Derivation of Langevin dynamics in a nonzero background flow field
p. 1583-1626
Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions
p. 1627-1655
Optimal uncertainty quantification for legacy data observations of Lipschitz functions
p. 1657-1689
Lower and upper bounds for the Rayleigh conductivity of a perforated plate
p. 1691-1712
Stabilized Galerkin methods for magnetic advection
p. 1713-1732
A priori error estimates for finite element discretizations of a shape optimization problem
p. 1733-1763
Conservation schemes for convection-diffusion equations with Robin boundary conditions
p. 1765-1781
A class of nonparametric DSSY nonconforming quadrilateral elements
p. 1783-1796
Automatic simplification of Darcy's equations with pressure dependent permeability
p. 1797-1820
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems - Analysis, assessments and applications to parameter estimation
p. 1821-1843
Local Discontinuous Galerkin methods for fractional diffusion equations
p. 1845-1864