Issue no. 1 Table of Contents

A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport

Castro Díaz, Manuel Jesús; Fernández-Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos

p. 1-32
Mortar spectral method in axisymmetric domains

Mani Aouadi, Saloua; Satouri, Jamil

p. 33-55
Consistency, accuracy and entropy behaviour of remeshed particle methods

Weynans, Lisl; Magni, Adrien

p. 57-81
The extended adjoint method

Larnier, Stanislas; Masmoudi, Mohamed

p. 83-108
An analysis of the boundary layer in the 1D surface Cauchy-Born model

Jayawardana, Kavinda; Mordacq, Christelle; Ortner, Christoph; Park, Harold S.

p. 109-123
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation

Chen, Huangxin; Hoppe, Ronald H. W.; Xu, Xuejun

p. 125-147
A general semilocal convergence result for Newton's method under centered conditions for the second derivative

Ezquerro, José Antonio; González, Daniel; Hernández, Miguel Ángel

p. 149-167
The discrete compactness property for anisotropic edge elements on polyhedral domains

Lombardi, Ariel Luis

p. 169-181
Error estimates for the ultra weak variational formulation in linear elasticity

Luostari, Teemu; Huttunen, Tomi; Monk, Peter

p. 183-211
A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation

Phuong Huynh, Dinh Bao; Knezevic, David J.; Patera, Anthony T.

p. 213-251
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs

Chkifa, Abdellah; Cohen, Albert; DeVore, Ronald; Schwab, Christoph

p. 253-280
Error estimates for a FitzHugh-Nagumo parameter-dependent reaction-diffusion system

Chrysafinos, Konstantinos; Filopoulos, Sotirios P.; Papathanasiou, Theodosios K.

p. 281-304
Bound states of a converging quantum waveguide

Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo

p. 305-315

Issue no. 2 Table of Contents

Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values

Janon, Alexandre; Nodet, Maëlle; Prieur, Clémentine

p. 317-348
Correctors and field fluctuations for the p ε (x)-laplacian with rough exponents : The sublinear growth case

Jimenez, Silvia

p. 349-375
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies

Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît

p. 377-399
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension

Braack, Malte; Prohl, Andreas

p. 401-420
The continuous Coupled Cluster formulation for the electronic Schrödinger equation

Rohwedder, Thorsten

p. 421-447
A priori error estimates for reduced order models in finance

Sachs, Ekkehard W.; Schu, Matthias

p. 449-469
A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem

Domínguez, Carolina; Gatica, Gabriel N.; Meddahi, Salim; Oyarzúa, Ricardo

p. 471-506
Air entrainment in transient flows in closed water pipes : A two-layer approach

Bourdarias, C.; Ersoy, M.; Gerbi, Stéphane

p. 507-538
Time-dependent coupling of Navier-Stokes and Darcy flows

Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice

p. 539-554
A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD

Kammann, Eileen; Tröltzsch, Fredi; Volkwein, Stefan

p. 555-581
Optimized Schwarz Methods for the Bidomain system in electrocardiology

Gerardo-Giorda, Luca; Perego, Mauro

p. 583-608
Analysis of an Asymptotic Preserving Scheme for Relaxation Systems

Filbet, Francis; Rambaud, Amélie

p. 609-633

Issue no. 3 Table of Contents

Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification

Chowdhary, Kamaljit; Dupuis, Paul

p. 635-662
On power series solutions for the Euler equation, and the Behr-Nečas-Wu initial datum

Morosi, Carlo; Pernici, Mario; Pizzocchero, Livio

p. 663-688
A piecewise P 2 -nonconforming quadrilateral finite element

Kim, Imbunm; Luo, Zhongxuan; Meng, Zhaoliang; NAM, Hyun; Park, Chunjae; Sheen, Dongwoo

p. 689-715
Symmetric parareal algorithms for hamiltonian systems

Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon

p. 717-742
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines

Salgado, Abner J.

p. 743-769
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints

Schiela, Anton; Wachsmuth, Daniel

p. 771-787
Dual-mixed finite element methods for the Navier-Stokes equations

Howell, Jason S.; Walkington, Noel J.

p. 789-805
High order approximation of probabilistic shock profiles in hyperbolic conservation laws with uncertain initial data

Schwab, Christoph; Tokareva, Svetlana

p. 807-835
Macroscopic contact angle and liquid drops on rough solid surfaces via homogenization and numerical simulations

Cacace, S.; Chambolle, A.; DeSimone, A.; Fedeli, L.

p. 837-858
Convergence Rates of the POD-Greedy Method

Haasdonk, Bernard

p. 859-873
An eddy current problem in terms of a time-primitive of the electric field with non-local source conditions

Bermúdez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar

p. 875-902
Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation

Agut, Cyril; Diaz, Julien

p. 903-932

Issue no. 4 Table of Contents

Preface

Chapelle, Dominique; Gerbeau, Jean-Frédéric

p. 933-934
Modeling of the oxygen transfer in the respiratory process

Martin, Sébastien; Maury, Bertrand

p. 935-960
Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm

Watanabe, Sansuke M.; Blanco, Pablo J.; Feijóo, Raúl A.

p. 961-985
A predictive method allowing the use of a single ionic model in numerical cardiac electrophysiology

Rioux, M.; Bourgault, Y.

p. 987-1016
A comparison of coupled and uncoupled solvers for the cardiac Bidomain model

Colli Franzone, P.; Pavarino, L. F.; Scacchi, S.

p. 1017-1035
Uncertainty quantification for data assimilation in a steady incompressible Navier-Stokes problem

D’Elia, Marta; Veneziani, Alessandro

p. 1037-1057
Inverse modelling of image-based patient-specific blood vessels: zero-pressure geometry and in vivo stress incorporation

Bols, Joris; Degroote, Joris; Trachet, Bram; Verhegghe, Benedict; Segers, Patrick; Vierendeels, Jan

p. 1059-1075
Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions

Kunisch, Karl; Wagner, Marcus

p. 1077-1106
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi

p. 1107-1131
A quasi-variational inequality problem arising in the modeling of growing sandpiles

Barrett, John W.; Prigozhin, Leonid

p. 1133-1165
On uniqueness in electromagnetic scattering from biperiodic structures

Lechleiter, Armin; Nguyen, Dinh-Liem

p. 1167-1184
Quadratic finite elements with non-matching grids for the unilateral boundary contact

Auliac, S.; Belhachmi, Z.; Ben Belgacem, F.; Hecht, F.

p. 1185-1205
Each H 1/2 -stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in R d

Aurada, M.; Feischl, M.; Kemetmüller, J.; Page, M.; Praetorius, D.

p. 1207-1235

Issue no. 5 Table of Contents

On the convergence of the stochastic Galerkin method for random elliptic partial differential equations

Mugler, Antje; Starkloff, Hans-Jörg

p. 1237-1263
Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics

Koch, Othmar; Neuhauser, Christof; Thalhammer, Mechthild

p. 1265-1286
Numerical analysis of parallel replica dynamics

Simpson, Gideon; Luskin, Mitchell

p. 1287-1314
A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations

Ayuso de Dios, Blanca; Georgiev, Ivan; Kraus, Johannes; Zikatanov, Ludmil

p. 1315-1333
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations

Barrenechea, Gabriel R.; John, Volker; Knobloch, Petr

p. 1335-1366
Modèle effectif de couche mince rugueuse périodique sur une structure semi-infinie

Bellet, Jean-Baptiste; Berginc, Gérard

p. 1367-1386
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations

Bernard, Olivier; Boulanger, Anne-Céline; Bristeau, Marie-Odile; Sainte-Marie, Jacques

p. 1387-1412
A simple and efficient scheme for phase field crystal simulation

Elsey, Matt; Wirth, Benedikt

p. 1413-1432
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model

Guillén-González, F. M.; Gutiérrez-Santacreu, J. V.

p. 1433-1464
Numerical Approximations of the Dynamical System Generated by Burgers' Equation with Neumann-Dirichlet Boundary Conditions

Allen, Edward J.; Burns, John A.; Gilliam, David S.

p. 1465-1492
Lagrangian approach to deriving energy-preserving numerical schemes for the Euler-Lagrange partial differential equations

Yaguchi, Takaharu

p. 1493-1513
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation

Mouhot, Clément; Pareschi, Lorenzo; Rey, Thomas

p. 1515-1531
First order second moment analysis for stochastic interface problems based on low-rank approximation

Harbrecht, Helmut; Li, Jingzhi

p. 1533-1552

Issue no. 6 Table of Contents

Error estimates for the Coupled Cluster method

Rohwedder, Thorsten; Schneider, Reinhold

p. 1553-1582
Derivation of Langevin dynamics in a nonzero background flow field

Dobson, Matthew; Legoll, Frédéric; Lelièvre, Tony; Stoltz, Gabriel

p. 1583-1626
Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions

Narbona-Reina, Gladys; Bresch, Didier

p. 1627-1655
Optimal uncertainty quantification for legacy data observations of Lipschitz functions

Sullivan, T. J.; McKerns, M.; Meyer, D.; Theil, F.; Owhadi, H.; Ortiz, M.

p. 1657-1689
Lower and upper bounds for the Rayleigh conductivity of a perforated plate

Laurens, S.; Tordeux, S.; Bendali, A.; Fares, M.; Kotiuga, P. R.

p. 1691-1712
Stabilized Galerkin methods for magnetic advection

Heumann, Holger; Hiptmair, Ralf

p. 1713-1732
A priori error estimates for finite element discretizations of a shape optimization problem

Kiniger, Bernhard; Vexler, Boris

p. 1733-1763
Conservation schemes for convection-diffusion equations with Robin boundary conditions

Flotron, Stéphane; Rappaz, Jacques

p. 1765-1781
A class of nonparametric DSSY nonconforming quadrilateral elements

Jeon, Youngmok; NAM, Hyun; Sheen, Dongwoo; Shim, Kwangshin

p. 1783-1796
Automatic simplification of Darcy's equations with pressure dependent permeability

Ahusborde, Etienne; Azaïez, Mejdi; Ben Belgacem, Faker; Bernardi, Christine

p. 1797-1820
A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems - Analysis, assessments and applications to parameter estimation

Chapelle, D.; Gariah, A.; Moireau, P.; Sainte-Marie, J.

p. 1821-1843
Local Discontinuous Galerkin methods for fractional diffusion equations

Deng, W. H.; Hesthaven, J. S.

p. 1845-1864