Issue no. 1 Table of Contents

Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
p. 1-38
A numerical minimization scheme for the complex Helmholtz equation
p. 39-57
First variation of the general curvature-dependent surface energy
p. 59-79
On the stability of Bravais lattices and their Cauchy-Born approximations
p. 81-110
Cell centered Galerkin methods for diffusive problems
p. 111-144
Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation
p. 145-185
Accurate numerical discretizations of non-conservative hyperbolic systems
p. 187-206

Issue no. 2 Table of Contents

Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers
p. 207-237
Numerical integration for high order pyramidal finite elements
p. 239-263
Small-stencil 3D schemes for diffusive flows in porous media
p. 265-290
A finite element method for stiffened plates
p. 291-315
On the convergence of generalized polynomial chaos expansions
p. 317-339
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models
p. 341-388
A compactness result for a second-order variational discrete model
p. 389-410
On the effect of temperature and velocity relaxation in two-phase flow models
p. 411-442
A numerical scheme for the quantum Boltzmann equation with stiff collision terms
p. 443-463
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
p. 465-489
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems
p. 491-511

Issue no. 3 Table of Contents

Special volume in honor of Professor David Gottlieb. Numéro spécial

Preface - Special volume in honor of Professor David Gottlieb
p. 513
Integration of the EPDiff equation by particle methods
p. 515-534
An iterative implementation of the implicit nonlinear filter
p. 535-543
P-adaptive Hermite methods for initial value problems
p. 545-557
Initial-boundary value problems for second order systems of partial differential equations
p. 559-593
A priori convergence of the greedy algorithm for the parametrized reduced basis method
p. 595-603
Coarse quantization for random interleaved sampling of bandlimited signals
p. 605-618
Numerical approximation of the inviscid 3D primitive equations in a limited domain
p. 619-646
Iterative schemes for high order compact discretizations to the exterior Helmholtz equation
p. 647-660
Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations
p. 661-680

Issue no. 4 Table of Contents

Implicit-explicit Runge-Kutta schemes and finite elements with symmetric stabilization for advection-diffusion equations
p. 681-707
PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages
p. 709-729
Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
p. 731-757
A multiscale mortar multipoint flux mixed finite element method
p. 759-796
A Superconvergence result for mixed finite element approximations of the eigenvalue problem
p. 797-812
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
p. 813-839
Theory and numerical approximations for a nonlinear 1 + 1 Dirac system
p. 841-874
Mathematical and numerical modelling of piezoelectric sensors
p. 875-909
A minimum effort optimal control problem for elliptic PDEs
p. 911-927
Effect of the polarization drift in a strongly magnetized plasma
p. 929-947
Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers
p. 949-978

Issue no. 5 Table of Contents

Finite element approximations of the three dimensional Monge-Ampère equation
p. 979-1001
A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity
p. 1003-1028
Modelling and simulation of liquid-vapor phase transition in compressible flows based on thermodynamical equilibrium
p. 1029-1054
s * -compressibility of the discrete Hartree-Fock equation
p. 1055-1080
Reduced resistive MHD in Tokamaks with general density
p. 1081-1106
A priori error estimates for a state-constrained elliptic optimal control problem
p. 1107-1120
Representation formulas for L ∞ norms of weakly convergent sequences of gradient fields in homogenization
p. 1121-1146
Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems
p. 1147-1173
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
p. 1175-1199
Computation of the drag force on a sphere close to a wall
p. 1201-1224
Temporal convergence of a locally implicit discontinuous Galerkin method for Maxwell's equations
p. 1225-1246
Adaptivity and variational stabilization for convection-diffusion equations
p. 1247-1273

Issue no. 6 Table of Contents

The role of the patch test in 2D atomistic-to-continuum coupling methods
p. 1275-1319
Convergence of gradient-based algorithms for the Hartree-Fock equations
p. 1321-1336
Hyperbolic wavelet discretization of the two-electron Schrödinger equation in an explicitly correlated formulation
p. 1337-1362
T-coercivity for scalar interface problems between dielectrics and metamaterials
p. 1363-1387
Combined a posteriori modeling-discretization error estimate for elliptic problems with complicated interfaces
p. 1389-1405
Efficient computation of delay differential equations with highly oscillatory terms
p. 1407-1420
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
p. 1421-1445
An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence
p. 1447-1465
Discontinuous Galerkin methods for problems with Dirac delta source
p. 1467-1483
Uniformly convergent adaptive methods for a class of parametric operator equations
p. 1485-1508
Phase field method for mean curvature flow with boundary constraints
p. 1509-1526
An energy-preserving Discrete Element Method for elastodynamics
p. 1527-1553
On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition
p. 1555-1576