Journal of Numerical Mathematics

Papers
(The median citation count of Journal of Numerical Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)
ArticleCitations
The deal.II library, Version 9.399
The deal.II library, Version 9.477
The deal.II Library, Version 9.522
Overcoming the curse of dimensionality in the numerical approximation of Allen–Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations19
Entropy stabilization and property-preserving limiters for ℙ1 discontinuous Galerkin discretizations of scalar hyperbolic problems11
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation11
An all Mach number finite volume method for isentropic two-phase flow10
A reduced basis method for fractional diffusion operators II10
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations9
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems8
A finite element method for degenerate two-phase flow in porous media. Part I: Well-posedness8
A C 0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron8
Adaptive space–time finite element methods for parabolic optimal control problems8
On rational Krylov and reduced basis methods for fractional diffusion7
A finite element method for degenerate two-phase flow in porous media. Part II: Convergence6
New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces6
Acceleration of nonlinear solvers for natural convection problems6
A structure preserving front tracking finite element method for the Mullins–Sekerka problem5
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport5
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems5
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem3
Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems3
A divergence-free finite element method for the Stokes problem with boundary correction2
Relative error analysis of matrix exponential approximations for numerical integration2
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions2
Transformed primal–dual methods for nonlinear saddle point systems2
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models2
An assessment of solvers for algebraically stabilized discretizations of convection–diffusion–reaction equations2
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties2
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow2
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations2
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures2
Matrix equation solving of PDEs in polygonal domains using conformal mappings2
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area2
Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation2
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods2
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure1
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow1
How to prove optimal convergence rates for adaptive least-squares finite element methods∗1
Local parameter selection in the C0 interior penalty method for the biharmonic equation1
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations1
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