OOIR: Observatory of International Research

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 2021-08-01 to 2025-08-01.)

Article	Citations
Frontmatter	109
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	101
Transformed primal–dual methods for nonlinear saddle point systems	67
Frontmatter	15
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	15
Optimal evaluation of symmetry-adapted n-correlations via recursive contraction of sparse symmetric tensors	14
Error analysis of virtual element method for the Poisson–Boltzmann equation	13
Adaptive space–time finite element methods for parabolic optimal control problems	12
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	11
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	11
A posteriori error estimate for a WG method of H(curl)-elliptic problems	11
Acceleration of nonlinear solvers for natural convection problems	8
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures	7
An all Mach number finite volume method for isentropic two-phase flow	7
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models	7
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations	6
On rational Krylov and reduced basis methods for fractional diffusion	6
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	5
Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems	4
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	4
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	4
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated	4
Contents	4
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	3
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area	3

Frontmatter	3
How to prove optimal convergence rates for adaptive least-squares finite element methods∗	3
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation	3
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations	2
The deal.II library, Version 9.6	2
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	2
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow	2
Contents	2
Frontmatter	2
The deal.II library, Version 9.4	2
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions	2
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	2
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	2
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties	1
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-ti	1
A fully well-balanced hydrodynamic reconstruction	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
Frontmatter	1
A finite element method for degenerate two-phase flow in porous media. Part II: Convergence	1
Frontmatter	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1
A medius error analysis for the conforming discontinuous Galerkin finite element methods	1
An assessment of solvers for algebraically stabilized discretizations of convection–diffusion–reaction equations	1