Issue no. 1 Table of Contents

A mixed elasticity formulation for fluid–poroelastic structure interaction
p. 1-40
Lowest-order equivalent nonstandard finite element methods for biharmonic plates
p. 41-78
Convergence bounds for empirical nonlinear least-squares
p. 79-104
Numerical computation of the cut locus via a variational approximation of the distance function
p. 105-120
An asymptotic preserving scheme for a tumor growth model of porous medium type
p. 121-150
Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme
p. 151-175
Gibbs phenomena for L q -best approximation in finite element spaces
p. 177-211
Network models for nonlocal traffic flow
p. 213-235
An offline-online strategy for multiscale problems with random defects
p. 237-260
Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods
p. 261-285
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem
p. 287-301
On optimal cloaking-by-mapping transformations
p. 303-316
Exact solution and the multidimensional Godunov scheme for the acoustic equations
p. 317-347
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty
p. 349-383

Issue no. 2 Table of Contents

A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source
p. 385-406
A Glioblastoma PDE-ODE model including chemotaxis and vasculature
p. 407-431
A modified Kačanov iteration scheme with application to quasilinear diffusion models
p. 433-450
Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows
p. 451-483
Continuous Lambertian shape from shading: A primal-dual algorithm
p. 485-504
Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations
p. 505-528
The adaptive biasing force algorithm with non-conservative forces and related topics
p. 529-564
Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies
p. 565-592
Mathematical modeling and numerical analysis for the higher order Boussinesq system
p. 593-615
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems
p. 617-650
Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell
p. 651-678
Discontinuous Galerkin and C 0 -IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization
p. 679-704
Shape reconstructions by using plasmon resonances
p. 705-726
Analysis of the Stokes–Darcy problem with generalised interface conditions
p. 727-742

Issue no. 3 Table of Contents

High order linearly implicit methods for evolution equations
p. 743-766
Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
p. 767-789
Infection spreading in cell culture as a reaction-diffusion wave
p. 791-814
Monotone discretization of the Monge–Ampère equation of optimal transport
p. 815-865
High order approximation of Hodge Laplace problems with local coderivatives on cubical meshes
p. 867-891
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
p. 893-942
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization
p. 943-967
Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients
p. 969-1005
An algorithm for the grade-two rheological model
p. 1007-1025
A priori and a posteriori error estimates for the quad-curl eigenvalue problem
p. 1027-1051
On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes
p. 1053-1080
A LWR model with constraints at moving interfaces
p. 1081-1114

Issue no. 4 Table of Contents

Exact solution for Riemann problems of the shear shallow water model
p. 1115-1150
MicroROM: An efficient and accurate reduced order method to solve many-query problems in micro-motility
p. 1151-1172
An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution
p. 1173-1198
Numerical analysis of the Landau–Lifshitz–Gilbert equation with inertial effects
p. 1199-1222
Convergence analysis of a local stationarity scheme for rate-independent systems
p. 1223-1253
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions
p. 1255-1305
Stabilized finite elements for Tresca friction problem
p. 1307-1326
Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system
p. 1327-1360
Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction
p. 1361-1400
Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws
p. 1401-1435
A counterexample to analyticity in frictional dynamics
p. 1437-1449
Numerical homogenization of fractal interface problems
p. 1451-1481

Issue no. 5 Table of Contents

Bloch waves in high contrast electromagnetic crystals
p. 1483-1519
Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method
p. 1521-1544
Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients
p. 1545-1578
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels
p. 1579-1627
Energy-adaptive Riemannian optimization on the Stiefel manifold
p. 1629-1653
A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations
p. 1655-1686
A fast second-order discretization scheme for the linearized Green-Naghdi system with absorbing boundary conditions
p. 1687-1714
Coherence and flow-maximization of a one-way valve
p. 1715-1739
A nonnegativity preserving scheme for the relaxed Cahn–Hilliard equation with single-well potential and degenerate mobility
p. 1741-1772
Mean curvature motion of point cloud varifolds
p. 1773-1808
Sparse grid reconstructions for Particle-In-Cell methods
p. 1809-1841

Issue no. 6 Table of Contents

Positivity-preserving methods for ordinary differential equations
p. 1843-1870
Singular solutions, graded meshes,and adaptivity for total-variation regularized minimization problems
p. 1871-1888
Shape analyticity and singular perturbations for layer potential operators
p. 1889-1910
Penalization method for the Navier–Stokes–Fourier system
p. 1911-1938
Computing the cut locus of a Riemannian manifold via optimal transport
p. 1939-1954
An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality
p. 1955-1992
Convergence of a spectral method for the stochastic incompressible Euler equations
p. 1993-2019
The Morozov’s principle applied to data assimilation problems
p. 2021-2050
A C 0 Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p -biharmonic type
p. 2051-2079
A C 0 interior penalty method for m th-Laplace equation
p. 2081-2103
Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data
p. 2105-2139
A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model
p. 2141-2180
Efficient computation of the Wright function and its applications to fractional diffusion-wave equations
p. 2181-2196
Canonical mean-field molecular dynamics derived from quantum mechanics
p. 2197-2238
Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms
p. 2239-2253
Discontinuous Galerkin discretization in time of systems of second-order nonlinear hyperbolic equations
p. 2255-2296
Adaptive physical-constraints-preserving unstaggered central schemes for shallow water equations on quadrilateral meshes
p. 2297-2338