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 2022-08-01 to 2026-08-01.)

Article	Citations
Frontmatter	112
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	46
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	17
Error estimates of the dynamically regularized Lagrange multiplier finite element scheme for the incompressible Navier–Stokes equations	15
Transformed primal–dual methods for nonlinear saddle point systems	12
Optimal evaluation of symmetry-adapted n-correlations via recursive contraction of sparse symmetric tensors	11
Adaptive space–time finite element methods for parabolic optimal control problems	9
Error analysis of virtual element method for the Poisson–Boltzmann equation	8
A posteriori error estimate for a WG method of H(curl)-elliptic problems	5
C ¹ preserving Hermite interpolants for piecewise polynomials in two dimensions	5
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	5
Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part II: asymptotically irrational block size ratios	5
The deal.II library, version 9.7	4
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	4
Error analysis for a Crouzeix–Raviart approximation of the obstacle problem	4
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces	4
Error analysis of a BDF2-FEM discretization for flow in deformable porous media	3
Diagonally implicit Runge–Kutta schemes: Discrete energy-balance laws and compactness properties	3
Dynamical low-rank approximation strategies for nonlinear feedback control problems	3
An all Mach number finite volume method for isentropic two-phase flow	3
Simulating the motion of a self-propelled dumbbell in fluids	3
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs	2
An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities	2
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	2
Frontmatter	2

A decoupled finite element method for fluid–fluid interaction	2
Obtaining higher-order Galerkin accuracy when the boundary is polygonally approximated	2
Space-time adaptive methods for the pseudostress formulation of the Stokes problem	2
Spectral and singular value distribution of sequences of block matrices with rectangular Toeplitz blocks. Part I: asymptotically rational block size ratios	2
Contents	2
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions	2
Effective permeabilities for flow through anisotropic microscopic geometries	1
Contents	1
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties	1
The deal.II library, Version 9.6	1
Augmenting the grad-div stabilization for Taylor–Hood finite elements with a vorticity stabilization	1
Frontmatter	1
A convergent finite element scheme for the Q-tensor model of liquid crystals subjected to an electric field	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	1
Frontmatter	1
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications	0
A mixed quasi-trace surface finite element method for the Laplace–Beltrami problem	0
Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities	0
Frontmatter	0
Frontmatter	0
A fully well-balanced hydrodynamic reconstruction	0
SUPG space-time scheme on anisotropic meshes for general parabolic equations	0
Hybridizable discontinuous Galerkin method for dynamic poroelasticity: an hp -error analysis	0
Frontmatter	0
Obituary for Professor Yuri Kuznetsov	0
Adaptive computation of elliptic eigenvalue topology optimization with a phase-field approach	0
Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux	0
Local parameter selection in the C⁰ interior penalty method for the biharmonic equation	0
How to make fully discrete entropy stability of three-point well-balanced finite-volume schemes	0
Improvements of algebraic flux-correction schemes based on Bernstein finite elements	0
Analysis of a CDA-accelerated splitting iteration for incompressible flow problems	0
Frontmatter	0
Long time behavior of the field–road diffusion model: an entropy method and a finite volume scheme	0
Frontmatter	0
High order immersed hybridized difference methods for elliptic interface problems	0
A medius error analysis for the conforming discontinuous Galerkin finite element methods	0
Benchmarking numerical algorithms for harmonic maps into the sphere	0
New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces	0
On the discrete Sobolev inequalities	0
The Ostrovsky–Hunter equation with a space dependent flux function	0
A Robin–Robin strongly coupled partitioned method for fluid–poroelastic structure interaction	0
Error analysis of an algebraic flux correction scheme for a nonlinear scalar conservation law using SSP-RK2	0
Corrigendum to: Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	0
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure	0
Contents	0
Spectral and computational aspects of a regularized fractional Laplacian for non-local diffusion on graphs	0
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs	0

Continuous data assimilation for problems with limited regularity using non-interpolant observables	0
FEM for singularly perturbed stationary drift-diffusion equations with boundary layers	0
Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems	0
The Johnson–Křížek–Mercier elasticity element in higher dimensions	0
On two conservative HDG schemes for nonlinear Klein–Gordon equation	0
Frontmatter	0
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation	0
Locally implicit and stabilized explicit time schemes for transient visco-elastic wave propagation problems	0
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization	0
Mass lumping and stabilization for immersogeometric analysis	0
New analysis of overlapping Schwarz methods for vector field problems in three dimensions with generally shaped domains	0
The deal.II Library, Version 9.5	0
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow	0
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems	0
Frontmatter	0
A local Fortin projection for the Scott–Vogelius elements on general meshes	0
A subspace framework for L _∞ model reduction	0
Exact shape derivatives with unfitted finite element methods	0