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 2021-06-01 to 2025-06-01.)

Article	Citations
Transformed primal–dual methods for nonlinear saddle point systems	107
Frontmatter	99
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	62
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	13
Error analysis of virtual element method for the Poisson–Boltzmann equation	12
A posteriori error estimate for a WG method of H(curl)-elliptic problems	11
Adaptive space–time finite element methods for parabolic optimal control problems	11
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	10
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	8
Acceleration of nonlinear solvers for natural convection problems	8
Frontmatter	7
Relative error analysis of matrix exponential approximations for numerical integration	7
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures	6
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models	6
An all Mach number finite volume method for isentropic two-phase flow	5
On rational Krylov and reduced basis methods for fractional diffusion	5
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	4
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	4
Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations	4
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	3
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated	3
Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems	3
Contents	2

Frontmatter	2
The deal.II library, Version 9.4	2
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow	2
Contents	2
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area	2
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	2
How to prove optimal convergence rates for adaptive least-squares finite element methods∗	2
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions	2
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	2
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation	2
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	2
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations	2
Frontmatter	2
The deal.II library, Version 9.6	1
Frontmatter	1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties	1