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 2021-11-01 to 2025-11-01.)

Article	Citations
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations	104
Frontmatter	84
Effective highly accurate time integrators for linear Klein–Gordon equations across the scales	21
Transformed primal–dual methods for nonlinear saddle point systems	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
Adaptive space–time finite element methods for parabolic optimal control problems	11
A posteriori error estimate for a WG method of H(curl)-elliptic problems	9
The deal.II library, version 9.7	8
Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements	7
C ¹ preserving Hermite interpolants for piecewise polynomials in two dimensions	7
Error analysis for a Crouzeix–Raviart approximation of the obstacle problem	6
Error analysis for a Crouzeix–Raviart approximation of the p-Dirichlet problem	6
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models	5
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic–viscoelastic composite structures	5
An all Mach number finite volume method for isentropic two-phase flow	5
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
On rational Krylov and reduced basis methods for fractional diffusion	4
Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	4
An adaptive space-time method for nonlinear poroviscoelastic flows with discontinuous porosities	3
Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn–Hilliard systems with bounded mass source	3
Contents	3
Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems	3
The deal.II library, Version 9.4	2

Frontmatter	2
Exploring numerical blow-up phenomena for the Keller–Segel–Navier–Stokes equations	2
Numerical simulation for European and American option of risks in climate change of Three Gorges Reservoir Area	2
Efficient numerical solution of the Fokker–Planck equation using physics-conforming finite element methods	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	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
The deal.II library, Version 9.6	1
Frontmatter	1
An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow	1
Frontmatter	1
Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations	1
Contents	1
POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations	1
Stability and error analysis of a semi-implicit scheme for incompressible flows with variable density and viscosity	1
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations	0
High order immersed hybridized difference methods for elliptic interface problems	0
Frontmatter	0
Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation	0
Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems	0
On the discrete Sobolev inequalities	0
Exact shape derivatives with unfitted finite element methods	0
Multilevel Picard algorithm for general semilinear parabolic PDEs with gradient-dependent nonlinearities	0
Frontmatter	0
New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces	0
A Robin–Robin strongly coupled partitioned method for fluid–poroelastic structure interaction	0
Obituary for Professor Yuri Kuznetsov	0
The deal.II Library, Version 9.5	0
Unifying a posteriori error analysis of five piecewise quadratic discretisations for the biharmonic equation	0
Frontmatter	0
Entropy stable non-oscillatory fluxes: An optimized wedding of entropy conservative flux with non-oscillatory flux	0
Frontmatter	0
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems	0
A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem	0
SUPG space-time scheme on anisotropic meshes for general parabolic equations	0
Fundamental Theory and R-linear Convergence of Stretch Energy Minimization for Spherical Equiareal Parameterization	0
Frontmatter	0
A medius error analysis for the conforming discontinuous Galerkin finite element methods	0
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	0
An assessment of solvers for algebraically stabilized discretizations of convection–diffusion–reaction equations	0
The Ostrovsky–Hunter equation with a space dependent flux function	0
Corrigendum to: Numerical analysis for a Cahn–Hilliard system modelling tumour growth with chemotaxis and active transport	0
A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow	0
A divergence-free finite element method for the Stokes problem with boundary correction	0
Adaptive computation of elliptic eigenvalue topology optimization with a phase-field approach	0
Contents	0
A C ⁰-conforming DG finite element method for biharmonic equations on triangle/tetrahedron	0
Stabilized weighted reduced order methods for parametrized advection-dominated optimal control problems governed by partial differential equations with random inputs	0

Local parameter selection in the C⁰ interior penalty method for the biharmonic equation	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
Benchmarking numerical algorithms for harmonic maps into the sphere	0
Frontmatter	0
New analysis of overlapping Schwarz methods for vector field problems in three dimensions with generally shaped domains	0
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure	0
A structure preserving front tracking finite element method for the Mullins–Sekerka problem	0
Improvements of algebraic flux-correction schemes based on Bernstein finite elements	0