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 2022-05-01 to 2026-05-01.)

Article	Citations
Frontmatter	117
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	103
Transformed primal–dual methods for nonlinear saddle point systems	37
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	17
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	10
Adaptive space–time finite element methods for parabolic optimal control problems	9
Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part II: asymptotically irrational block size ratios	8
A posteriori error estimate for a WG method of H(curl)-elliptic problems	7
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	7
The deal.II library, version 9.7	6
C ¹ preserving Hermite interpolants for piecewise polynomials in two dimensions	6
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces	5
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	5
Error analysis for a Crouzeix–Raviart approximation of the obstacle problem	5
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	4
An all Mach number finite volume method for isentropic two-phase flow	4
Dynamical low-rank approximation strategies for nonlinear feedback control problems	4
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	3
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated	3
Contents	3
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	3
Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems	3
An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities	2
Frontmatter	2

The deal.II library, Version 9.4	2
A decoupled finite element method for fluid–fluid interaction	2
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	2
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	2
Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part I: asymptotically rational block size ratios	2
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	2
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions	2
Contents	1
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions	1
A convergent finite element scheme for the Q-tensor model of liquid crystals subjected to an electric field	1
Frontmatter	1
The deal.II library, Version 9.6	1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	1
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
A fully well-balanced hydrodynamic reconstruction	1
Frontmatter	1
Frontmatter	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
Frontmatter	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1