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 2021-12-01 to 2025-12-01.)

Article	Citations
Frontmatter	105
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	87
Transformed primal–dual methods for nonlinear saddle point systems	26
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	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	13
Adaptive space–time finite element methods for parabolic optimal control problems	12
A posteriori error estimate for a WG method of H(curl)-elliptic problems	9
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	8
C ¹ preserving Hermite interpolants for piecewise polynomials in two dimensions	7
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	7
The deal.II library, version 9.7	7
Error analysis for a Crouzeix–Raviart approximation of the obstacle problem	6
Dynamical low-rank approximation strategies for nonlinear feedback control problems	5
An all Mach number finite volume method for isentropic two-phase flow	5
Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems	4
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	4
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated	4
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	4
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models	4
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	4
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures	4
An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities	3
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area	3
Contents	3

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations	2
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	2
The deal.II library, Version 9.4	2
Frontmatter	2
How to prove optimal convergence rates for adaptive least-squares finite element methods∗	2
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	2
The deal.II library, Version 9.6	1
Contents	1
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow	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
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	1
Frontmatter	1
Frontmatter	1
Frontmatter	1
Frontmatter	1
A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions	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
An assessment of solvers for algebraically stabilized discretizations of convection–diffusion–reaction equations	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1