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 2022-05-01 to 2026-05-01.)

Article	Citations
Estimation of spectral gaps for sparse symmetric matrices	41
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method	37
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	36
Finite element methods for the stretching and bending of thin structures with folding	30
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function	23
Convergence of discontinuous galerkin methods for quasiconvex and relaxed variational problems	22
Error estimates for total-variation regularized minimization problems with singular dual solutions	21
Early stopping for conjugate gradients in statistical inverse problems	19
Interior estimates for the virtual element method	17
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	17
Parameter identification in PDEs by the solution of monotone inclusion problems	16
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	15
Neural networks for singular perturbations	13
Least-squares finite elements for distributed optimal control problems	13
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	12
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	12
Grid-free weighted particle method applied to the Vlasov–Poisson equation	12
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	12
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	11
Budget-limited distribution learning in multifidelity problems	10
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space	10
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	10
Proximal linearization methods for Schatten p-quasi-norm minimization	10
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$	10
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	10

Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension	10
A convergence framework for optimal transport on the sphere	10
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	10
A reduced basis method for fractional diffusion operators I	9
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$	9
Robust treatment of cross-points in optimized Schwarz methods	9
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval	9
On the numerical stability of linear barycentric rational interpolation	9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates	9
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions	8
Uncertainty quantification for random domains using periodic random variables	8
Alternative Basis matrix multiplication is fast and stable†	8
Stability of the minimum energy path	8
Convergence rates of particle approximation of forward-backward splitting algorithm for granular medium equations	8
A family of conforming finite element divdiv complexes on cuboid meshes	8
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	8
Validated integration of semilinear parabolic PDEs	8
Hanke–Raus rule for Landweber iteration in Banach spaces	8
Correction: Random reordering in SOR-type methods	8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	8
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	7
Convergent finite element approximations of surface evolution with relaxed minimal deformation	7
A proximal-gradient algorithm for crystal surface evolution	7
Lattice enumeration via linear programming	7
Numerical approximation of variational problems with orthotropic growth	7
Rigorous numerics for nonlinear heat equations in the complex plane of time	7
A super-localized generalized finite element method	7
Correction: Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	7
Fast evaluation of real and complex polynomials	7
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	7
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	7
Which constraints of a numerical problem cause ill-conditioning?	7
A unifying framework for tangential interpolation of structured bilinear control systems	7
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
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	6
On the numerical approximation of a rescaling algorithm to nonlinear blow-up problems	6
Discretizing the Fokker–Planck equation with second-order accuracy: a dissipation driven approach	6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport	6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	6
On the number of terms in the COS method for European option pricing	6
Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations	5
A discrete elasticity complex on three-dimensional Alfeld splits	5
Numerical analysis of time-dependent Hamilton–Jacobi equations on networks	5
Interpolation on the cubed sphere with spherical harmonics	5
Fast hyperbolic wavelet regression meets ANOVA	5
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	5
Asymptotically constant-free and polynomial-degree-robust a posteriori error estimates for time-harmonic Maxwell’s equations	5
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	5

$$H(\textrm{div})$$-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations	5
The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part ii: Nearly equilateral triangles	5
Pressure and convection robust finite elements for magnetohydrodynamics	4
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors	4
Convergence of spectral discretization for the flow of diffeomorphisms	4
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	4
Iterative regularization for low complexity regularizers	4
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	4
Mixed finite elements for Bingham flow in a pipe	4
A DPG method for shallow shells	4
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	4
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	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
Stability and guaranteed error control of approximations to the Monge–Ampère equation	4
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	4
Error estimates for deep learning methods in fluid dynamics	3
An adaptive least squares boundary element method for elliptic boundary value problems	3
Large-stepsize integrators for charged-particle dynamics over multiple time scales	3
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	3
Sensitivity approximation by the Peano-Baker series	3
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	3
Numerical stability and tensor nuclear norm	3
Stabilization-free HHO a posteriori error control	3
Statistical properties of BayesCG under the Krylov prior	3
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	3
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	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
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	3
A nonconforming finite element method for data assimilation subject to the transient Stokes problem	3
Moment-SoS methods for optimal transport problems	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
Error analysis for a second order approximation of a viscoelastic phase separation model	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
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	3
Second-order uniformly accurate method for the semiclassical nonlinear Schrödinger equation with initial data in $${{\text {H}}^2}$$	3
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
Solving trust region subproblems using Riemannian optimization	2
An averaged space–time discretization of the stochastic p-Laplace system	2
On degenerating finite element tetrahedral partitions	2
Interpolation operators for parabolic problems	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic	2
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	2
Summing divergent matrix series	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
On the accuracy of the finite volume approximations to nonlocal conservation laws	2
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	2
Sensitivity of low-rank matrix recovery	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems	2
An error bound for the time-sliced thawed Gaussian propagation method	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
A hybrid high-order method for the mixed Steklov eigenvalue problem	2
How and why non smooth solutions of the 3D Navier–Stokes equations could possibly develop	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Multilevel quadrature formulae for the optimal control of random PDEs	2