Journal of Numerical Mathematics

Papers
(The median citation count of Journal of Numerical Mathematics is 0. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations103
A C 0-conforming DG finite element method for biharmonic equations on triangle/tetrahedron90
A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem50
Frontmatter15
Transformed primal–dual methods for nonlinear saddle point systems11
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations10
Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation10
On rational Krylov and reduced basis methods for fractional diffusion9
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales8
Obituary for Professor Yuri Kuznetsov8
Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow7
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods7
Adaptive space–time finite element methods for parabolic optimal control problems6
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations6
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties5
Frontmatter5
High order immersed hybridized difference methods for elliptic interface problems5
Error analysis of virtual element method for the Poisson–Boltzmann equation3
A Robin–Robin strongly coupled partitioned method for fluid–poroelastic structure interaction3
Frontmatter2
Contents2
Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems2
Analytic integration of the Newton potential over cuboids and an application to fast multipole methods2
Optimal evaluation of symmetry-adapted n-correlations via recursive contraction of sparse symmetric tensors2
Frontmatter2
A subspace framework for L ∞ model reduction2
Frontmatter2
Long time behavior of the field–road diffusion model: an entropy method and a finite volume scheme2
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions2
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated2
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source2
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport2
The deal.II library, Version 9.61
A posteriori error estimate for a WG method of H(curl)-elliptic problems1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization1
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements1
Entropy stabilization and property-preserving limiters for ℙ1 discontinuous Galerkin discretizations of scalar hyperbolic problems1
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow1
Corrigendum to: Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport0
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow0
An all Mach number finite volume method for isentropic two-phase flow0
The deal.II Library, Version 9.50
A Redistributed Bundle Algorithm Based on Local Convexification Models for Nonlinear Nonsmooth DC Programming0
Frontmatter0
Frontmatter0
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity0
A fully well-balanced hydrodynamic reconstruction0
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation0
Matrix equation solving of PDEs in polygonal domains using conformal mappings0
How to prove optimal convergence rates for adaptive least-squares finite element methods∗0
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations0
Contents0
A divergence-free finite element method for the Stokes problem with boundary correction0
A finite element method for degenerate two-phase flow in porous media. Part II: Convergence0
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models0
Local parameter selection in the C0 interior penalty method for the biharmonic equation0
The deal.II library, Version 9.30
The deal.II library, Version 9.40
New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces0
Frontmatter0
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations0
Adaptive computation of elliptic eigenvalue topology optimization with a phase-field approach0
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs0
Acceleration of nonlinear solvers for natural convection problems0
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations0
Contents0
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation0
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs0
Frontmatter0
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization0
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures0
On the discrete Sobolev inequalities0
An assessment of solvers for algebraically stabilized discretizations of convection–diffusion–reaction equations0
Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems0
Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-ti0
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure0
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties0
A reduced basis method for fractional diffusion operators II0
Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux0
A structure preserving front tracking finite element method for the Mullins–Sekerka problem0
A medius error analysis for the conforming discontinuous Galerkin finite element methods0
Frontmatter0
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area0
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem0
Frontmatter0
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