Issue no. 1 Table of Contents

Diffusion limit of Fokker−Planck equation with heavy tail equilibria
p. 1-17
On the Numerical Integration of Scalar Nonlocal Conservation Laws
p. 19-37
Development and stability analysis of the inverse Lax−Wendroff boundary treatment for central compact schemes
p. 39-67
Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system
p. 69-99
A two-phase shallow debris flow model with energy balance
p. 101-140
Analysis of eddy current formulations in two-dimensional domains with cracks
p. 141-170
Numerical analysis for a three interacting species model with nonlocal and cross diffusion
p. 171-192
The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids
p. 193-220
Comments on iterative schemes for high order compact discretizations to the exterior Helmholtz equation
p. 221-223
An analysis of HDG methods for convection-dominated diffusion problems
p. 225-256
An analysis of Feng’s and other symmetric local absorbing boundary conditions
p. 257-273
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model
p. 275-301

Issue no. 2 Table of Contents

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media
p. 303-330
Efficient preconditioning of variational time discretization methods for parabolic Partial Differential Equations
p. 331-347
Convergence of the cell average technique for Smoluchowski coagulation equation
p. 349-372
Discretized fractional substantial calculus
p. 373-394
Parallelizing the Kolmogorov Fokker Planck Equation
p. 395-420
On the stable numerical approximation of two-phase flow with insoluble surfactant
p. 421-458
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements
p. 459-480
A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes
p. 481-502
A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments
p. 503-528
Error estimate for a finite volume scheme in a geometrical multi-scale domain
p. 529-550
Fast and accurate finite element approximation of wave maps into spheres
p. 551-558
Supercloseness of orthogonal projections onto nearby finite element spaces
p. 559-576
Residual a posteriori error estimation for the Virtual Element Method for elliptic problems
p. 577-599
The dispersive wave dynamics of a two-phase flow relaxation model
p. 601-619

Issue no. 3 Table of Contents

Spectral discretization of the Navier–Stokes equations coupled with the heat equation
p. 621-639
The reduced order NS-α model for incompressible flow: theory, numerical analysis and benchmark testing
p. 641-662
An a posteriori error estimation for the discrete duality finite volume discretization of the Stokes equations
p. 663-693
High order numerical methods for highly oscillatory problems
p. 695-711
Continuous analysis of the additive Schwarz method: A stable decomposition in H 1 with explicit constants
p. 713-740
Localized and complete resonance in plasmonic structures
p. 741-754
Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations
p. 755-785
Reduced basis techniques for nonlinear conservation laws
p. 787-814
Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
p. 815-837
An effective preconditioner for a PML system for electromagnetic scattering problem
p. 839-854
Stabilized mixed approximation of axisymmetric Brinkman flows
p. 855-874
Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing
p. 875-919

Issue no. 4 Table of Contents

Shape Optimization for Stokes flows: a finite element convergence analysis
p. 921-951
Convergence of a high order method in time and space for the miscible displacement equations
p. 953-976
Comparison Results of Nonstandard P 2 Finite Element Methods for the Biharmonic Problem
p. 977-990
A priori error estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws
p. 991-1018
Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method
p. 1019-1046
Uncertainty quantification in the numerical solution of coupled systems by involutive completion
p. 1047-1062
Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
p. 1063-1084
Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation
p. 1085-1126
Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions
p. 1127-1156
Well posedness and finite element approximability of two-dimensional time-harmonic electromagnetic problems involving non-conducting moving objects with stationary boundaries
p. 1157-1192
Adaptive Crouzeix–Raviart boundary element method
p. 1193-1217
A reduced discrete inf-sup condition in L p for incompressible flows and application
p. 1219-1238

Issue no. 5 Table of Contents

Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
p. 1239-1260
A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems
p. 1261-1283
Computing quantities of interest for random domains with second order shape sensitivity analysis
p. 1285-1302
A trace finite element method for a class of coupled bulk-interface transport problems
p. 1303-1330
Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code
p. 1331-1365
A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes
p. 1367-1398
An augmented mixed-primal finite element method for a coupled flow-transport problem
p. 1399-1427
Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
p. 1429-1450
Maximum Norm Regularity of Periodic Elliptic Difference Operators With Variable Coefficients
p. 1451-1461
A BV functional and its relaxation for joint motion estimation and image sequence recovery
p. 1463-1487
Finite element decomposition and minimal extension for flow equations
p. 1489-1509
Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams
p. 1511-1523
Layer structure and the galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales
p. 1525-1547

Issue no. 6 Table of Contents

Optimal Transport

Preface
p. 1549-1550
Foreword
p. 1551
A hybrid variational principle for the Keller–Segel system in ℝ 2
p. 1553-1576
Numerical solution of the Monge–Kantorovich problem by density lift-up continuation
p. 1577-1592
Connections between optimal transport, combinatorial optimization and hydrodynamics
p. 1593-1605
Optimal regions for congested transport
p. 1607-1619
Numerical methods for matching for teams and Wasserstein barycenters
p. 1621-1642
Optimal transport with Coulomb cost. Approximation and duality
p. 1643-1657
Optimal pits and optimal transportation
p. 1659-1670
Multi-physics optimal transportation and image interpolation
p. 1671-1692
A Numerical Algorithm for L 2 Semi-Discrete Optimal Transport in 3D
p. 1693-1715
Eulerian models and algorithms for unbalanced optimal transport
p. 1717-1744
A generalized model for optimal transport of images including dissipation and density modulation
p. 1745-1769
Multi-marginal optimal transport: Theory and applications
p. 1771-1790
Motivations, ideas and applications of ramified optimal transportation
p. 1791-1832