Issue no. 1 Table of Contents

Representation of capacity drop at a road merge via point constraints in a first order traffic model
p. 1-34
Heterogeneous Multiscale Method for the Maxwell equations with high contrast
p. 35-61
A thermodynamically consistent model of a liquid-vapor fluid with a gas
p. 63-84
A variant of the plane wave least squares method for the time-harmonic Maxwell’s equations
p. 85-103
Stability analysis and error estimates of arbitrary Lagrangian–Eulerian discontinuous Galerkin method coupled with Runge–Kutta time-marching for linear conservation laws
p. 105-144
A variational formulation of the BDF2 method for metric gradient flows
p. 145-172
Augmented Lagrangian finite element methods for contact problems
p. 173-195
A posteriori error estimation for Magnus-type integrators
p. 197-218
Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants
p. 219-248
An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap
p. 249-268
Towards a new friction model for shallow water equations through an interactive viscous layer
p. 269-299
Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator
p. 301-324
The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing impedance boundary condition
p. 325-350

Issue no. 2 Table of Contents

Finite element approximation of the Isaacs equation
p. 351-374
The Virtual Element Method with curved edges
p. 375-404
A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model
p. 405-442
Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation
p. 443-473
Anisotropic polygonal and polyhedral discretizations in finite element analysis
p. 475-501
Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II
p. 503-522
A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain
p. 523-549
Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation
p. 551-583
An Eulerian finite element method for PDEs in time-dependent domains
p. 585-614
Numerical complete solution for random genetic drift by energetic variational approach
p. 615-634
Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods
p. 635-658
Convergence of discrete and continuous unilateral flows for Ambrosio–Tortorelli energies and application to mechanics
p. 659-699
Study of an asymptotic preserving scheme for the quasi neutral Euler–Boltzmann model in the drift regime
p. 701-728

Issue no. 3 Table of Contents

An easily computable error estimator in space and time for the wave equation
p. 729-747
The nonconforming Virtual Element Method for eigenvalue problems
p. 749-774
Modeling and optimizing a road de-icing device by a nonlinear heating
p. 775-803
Phase-field modelling and computing for a large number of phases
p. 805-832
Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields
p. 833-867
Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
p. 869-891
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
p. 893-924
Entropy stable essentially nonoscillatory methods based on RBF reconstruction
p. 925-958
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
p. 959-985
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
p. 987-1003
Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization
p. 1005-1030
Relaxation and simulation of a barotropic three-phase flow model
p. 1031-1059
Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs
p. 1061-1082

Issue no. 4 Table of Contents

Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance
p. 1083-1124
Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems
p. 1125-1156
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
p. 1157-1190
Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides
p. 1191-1222
Variational method for a backward problem for a time-fractional diffusion equation
p. 1223-1244
Numerical approximation of stochastic time-fractional diffusion
p. 1245-1268
A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations
p. 1269-1303
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
p. 1305-1350
Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications
p. 1351-1371
A three-phase flow model with two miscible phases
p. 1373-1389
A dynamic multilayer shallow water model for polydisperse sedimentation
p. 1391-1432

Issue no. 5 Table of Contents

A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes
p. 1433-1457
Convergence of the finite volume method on a Schwarzschild background
p. 1459-1476
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
p. 1477-1505
Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients
p. 1507-1552
Raviart–Thomas finite elements of Petrov–Galerkin type
p. 1553-1576
Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems
p. 1577-1606
On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems
p. 1607-1627
Convergence of a homotopy finite element method for computing steady states of Burgers’ equation
p. 1629-1644
Quasi-optimality of an Adaptive Finite Element Method for Cathodic Protection
p. 1645-1665
Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space
p. 1667-1694
New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis
p. 1695-1713
Splitting method for elliptic equations with line sources
p. 1715-1739
Stability of numerical methods under the regime-switching jump-diffusion model with variable coefficients
p. 1741-1762
A relaxation scheme for a hyperbolic multiphase flow model: Part I: Barotropic EOS
p. 1763-1795

Issue no. 6 Table of Contents

Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature
p. 1797-1840
Adaptive Uzawa algorithm for the Stokes equation
p. 1841-1870
Finite element method with local damage of the mesh
p. 1871-1891
Energy-corrected FEM and explicit time-stepping for parabolic problems
p. 1893-1914
A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
p. 1915-1955
Convergence of a finite volume scheme for the compressible Navier–Stokes system
p. 1957-1979
Numerical approximation of the 3D hydrostatic Navier–Stokes system with free surface
p. 1981-2024
A mixed ℓ1 regularization approach for sparse simultaneous approximation of parameterized PDEs
p. 2025-2045
Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
p. 2047-2080
Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry
p. 2081-2108
Convergence of exponential Lawson-multistep methods for the MCTDHF equations
p. 2109-2119
A posteriori error estimates for Darcy’s problem coupled with the heat equation
p. 2121-2159