OOIR: Observatory of International Research

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 2022-06-01 to 2026-06-01.)

Article	Citations
Frontmatter	117
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	104
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	38
Error estimates of the dynamically regularized Lagrange multiplier finite element scheme for the incompressible Navier–Stokes equations	17
Transformed primal–dual methods for nonlinear saddle point systems	15
Optimal evaluation of symmetry-adapted n-correlations via recursive contraction of sparse symmetric tensors	10
Error analysis of virtual element method for the Poisson–Boltzmann equation	8
Adaptive space–time finite element methods for parabolic optimal control problems	7
Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part II: asymptotically irrational block size ratios	7
A posteriori error estimate for a WG method of H(curl)-elliptic problems	6
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	5
The deal.II library, version 9.7	5
C ¹ preserving Hermite interpolants for piecewise polynomials in two dimensions	5
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces	4
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	4
Dynamical low-rank approximation strategies for nonlinear feedback control problems	4
Error analysis for a Crouzeix–Raviart approximation of the obstacle problem	4
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	3
An all Mach number finite volume method for isentropic two-phase flow	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
A decoupled finite element method for fluid–fluid interaction	2
Frontmatter	2
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions	2
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	2

An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities	2
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	2
Contents	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
Space-time adaptive methods for the pseudostress formulation of the Stokes problem	1
Contents	1
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties	1
The deal.II library, Version 9.4	1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1
Frontmatter	1
Frontmatter	1
Frontmatter	1
The deal.II library, Version 9.6	1
A convergent finite element scheme for the Q-tensor model of liquid crystals subjected to an electric field	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
Benchmarking numerical algorithms for harmonic maps into the sphere	0
Frontmatter	0
A medius error analysis for the conforming discontinuous Galerkin finite element methods	0
Frontmatter	0
Hybridizable discontinuous Galerkin method for dynamic poroelasticity: an hp -error analysis	0
Frontmatter	0
The deal.II Library, Version 9.5	0
Locally implicit and stabilized explicit time schemes for transient visco-elastic wave propagation problems	0
Corrigendum to: Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	0
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations	0
The Johnson–Křížek–Mercier elasticity element in higher dimensions	0
Frontmatter	0
High order immersed hybridized difference methods for elliptic interface problems	0
Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems	0
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow	0
Exact shape derivatives with unfitted finite element methods	0
Frontmatter	0
Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities	0
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs	0
Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation	0
Error analysis of an algebraic flux correction scheme for a nonlinear scalar conservation law using SSP-RK2	0
New analysis of overlapping Schwarz methods for vector field problems in three dimensions with generally shaped domains	0
The Ostrovsky–Hunter equation with a space dependent flux function	0
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure	0
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation	0
A mixed quasi-trace surface finite element method for the Laplace–Beltrami problem	0
Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux	0
Frontmatter	0
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization	0
A subspace framework for L _∞ model reduction	0
Long time behavior of the field–road diffusion model: an entropy method and a finite volume scheme	0

From asymptotic distribution and vague convergence to uniform convergence, with numerical applications	0
A fully well-balanced hydrodynamic reconstruction	0
On the discrete Sobolev inequalities	0
Local parameter selection in the C⁰ interior penalty method for the biharmonic equation	0
A Robin–Robin strongly coupled partitioned method for fluid–poroelastic structure interaction	0
Obituary for Professor Yuri Kuznetsov	0
New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces	0
Improvements of algebraic flux-correction schemes based on Bernstein finite elements	0
SUPG space-time scheme on anisotropic meshes for general parabolic equations	0
Adaptive computation of elliptic eigenvalue topology optimization with a phase-field approach	0
Contents	0
Continuous data assimilation for problems with limited regularity using non-interpolant observables	0
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems	0
Frontmatter	0