OOIR: Observatory of International Research

Papers

(The median citation count of Numerische Mathematik is 2. 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 2022-07-01 to 2026-07-01.)

Article	Citations
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method	45
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function	39
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	38
Error estimates for total-variation regularized minimization problems with singular dual solutions	31
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	24
Finite element methods for the stretching and bending of thin structures with folding	23
Estimation of spectral gaps for sparse symmetric matrices	21
Convergence of discontinuous galerkin methods for quasiconvex and relaxed variational problems	19
Early stopping for conjugate gradients in statistical inverse problems	17
Interior estimates for the virtual element method	16
Parameter identification in PDEs by the solution of monotone inclusion problems	14
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	13
Least-squares finite elements for distributed optimal control problems	13
Neural networks for singular perturbations	12
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	12
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	11
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$	11
Grid-free weighted particle method applied to the Vlasov–Poisson equation	11
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	11
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	11
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	11
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	11
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space	10
Validated integration of semilinear parabolic PDEs	9
Budget-limited distribution learning in multifidelity problems	9

Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions	9
Hanke–Raus rule for Landweber iteration in Banach spaces	9
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension	9
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	9
On the numerical stability of linear barycentric rational interpolation	9
Proximal linearization methods for Schatten p-quasi-norm minimization	9
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	8
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	8
A family of conforming finite element divdiv complexes on cuboid meshes	8
Correction: Random reordering in SOR-type methods	8
Alternative Basis matrix multiplication is fast and stable†	8
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$	8
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval	8
Stability of the minimum energy path	8
Convergence rates of particle approximation of forward-backward splitting algorithm for granular medium equations	8
Numerical approximation of variational problems with orthotropic growth	7
Fast evaluation of real and complex polynomials	7
Uncertainty quantification for random domains using periodic random variables	7
Which constraints of a numerical problem cause ill-conditioning?	7
A unifying framework for tangential interpolation of structured bilinear control systems	7
A proximal-gradient algorithm for crystal surface evolution	7
Lattice enumeration via linear programming	7
Correction: Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	7
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	6
Finite element analysis of the nearly incompressible linear elasticity eigenvalue problem with variable coefficients	6
Convergent finite element approximations of surface evolution with relaxed minimal deformation	6
Wave scattering problems in exterior domains with the method of fundamental solutions	6
A framework for stable spectral methods in d-dimensional unit balls	6
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	6
On the numerical approximation of a rescaling algorithm to nonlinear blow-up problems	6
On the number of terms in the COS method for European option pricing	6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport	6
A super-localized generalized finite element method	6
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	6
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	5
$$H(\textrm{div})$$-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations	5
Discretizing the Fokker–Planck equation with second-order accuracy: a dissipation driven approach	5
Interpolation on the cubed sphere with spherical harmonics	5
Fast hyperbolic wavelet regression meets ANOVA	5
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	5
A discrete elasticity complex on three-dimensional Alfeld splits	5
Stability and guaranteed error control of approximations to the Monge–Ampère equation	5
Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations	5
Convergence of spectral discretization for the flow of diffeomorphisms	4
Numerical analysis of time-dependent Hamilton–Jacobi equations on networks	4
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	4
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	4
Error analysis for a second order approximation of a viscoelastic phase separation model	4

A DPG method for shallow shells	4
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part ii: Nearly equilateral triangles	4
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	4
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	4
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	4
Finite Difference formulation of any lattice Boltzmann scheme	4
Iterative regularization for low complexity regularizers	4
Pressure and convection robust finite elements for magnetohydrodynamics	4
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell’s equations	4
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	4
Mixed finite elements for Bingham flow in a pipe	4
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors	4
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	4
An adaptive least squares boundary element method for elliptic boundary value problems	3
Rate of convergence for numerical $$\alpha$$-dissipative solutions of the Hunter–Saxton equation	3
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	3
Numerical stability and tensor nuclear norm	3
Moment-SoS methods for optimal transport problems	3
Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic	3
Sensitivity of low-rank matrix recovery	3
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	3
A multiscale approach to the stationary Ginzburg–Landau equations of superconductivity	3
Sensitivity approximation by the Peano-Baker series	3
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	3
Stochastic dual coordinate descent with adaptive heavy ball momentum for linearly constrained convex optimization	3
Positivity preserving finite element method for the Gross–Pitaevskii ground state: discrete uniqueness and global convergence	3
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	3
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	3
Second-order uniformly accurate method for the semiclassical nonlinear Schrödinger equation with initial data in $${{\text {H}}^2}$$	3
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates	3
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method	3
A nonconforming finite element method for data assimilation subject to the transient Stokes problem	3
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	3
Multilevel quadrature formulae for the optimal control of random PDEs	3
Stabilization-free HHO a posteriori error control	3
Statistical properties of BayesCG under the Krylov prior	3
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
How and why non smooth solutions of the 3D Navier–Stokes equations could possibly develop	2
On the accuracy of the finite volume approximations to nonlocal conservation laws	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data	2
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2
A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
Summing divergent matrix series	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations	2
Solving trust region subproblems using Riemannian optimization	2
An error bound for the time-sliced thawed Gaussian propagation method	2
A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions	2
Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity	2
A hybrid high-order method for the mixed Steklov eigenvalue problem	2
Interpolation operators for parabolic problems	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
On degenerating finite element tetrahedral partitions	2
Runge–Kutta convolution quadrature based on Gauss methods	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
An averaged space–time discretization of the stochastic p-Laplace system	2