OOIR: Observatory of International Research

Papers

(The TQCC of Numerische Mathematik is 6. 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
Finite element methods for the stretching and bending of thin structures with folding	37
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function	33
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	30
Early stopping for conjugate gradients in statistical inverse problems	28
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	19
Error estimates for total-variation regularized minimization problems with singular dual solutions	18
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	17
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method	17
Interior estimates for the virtual element method	16
Least-squares finite elements for distributed optimal control problems	15
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	15
Parameter identification in PDEs by the solution of monotone inclusion problems	15
Neural networks for singular perturbations	15
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	14
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	14
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	14
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	13
Randomized block Krylov methods for approximating extreme eigenvalues	13
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	13
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	13
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	12
Grid-free weighted particle method applied to the Vlasov–Poisson equation	12
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	11
A convergence framework for optimal transport on the sphere	10
Budget-limited distribution learning in multifidelity problems	10

On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$	10
Proximal linearization methods for Schatten p-quasi-norm minimization	10
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space	9
A reduced basis method for fractional diffusion operators I	9
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension	9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$	9
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions	9
On the numerical stability of linear barycentric rational interpolation	9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	9
Hanke–Raus rule for Landweber iteration in Banach spaces	8
Universal algorithms for computing spectra of periodic operators	8
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	8
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	8
Correction: Random reordering in SOR-type methods	8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	8
Validated integration of semilinear parabolic PDEs	8
Stability of the minimum energy path	8
Uncertainty quantification for random domains using periodic random variables	8
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	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
Robust treatment of cross-points in optimized Schwarz methods	8
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates	8
A family of conforming finite element divdiv complexes on cuboid meshes	8
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	8
Which constraints of a numerical problem cause ill-conditioning?	7
Convergent adaptive hybrid higher-order schemes for convex minimization	7
Lattice enumeration via linear programming	7
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	7
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	7
Corners and stable optimized domain decomposition methods for the Helmholtz problem	7
Fast evaluation of real and complex polynomials	7
A proximal-gradient algorithm for crystal surface evolution	7
Numerical approximation of variational problems with orthotropic growth	7
Projection in negative norms and the regularization of rough linear functionals	7
Rigorous numerics for nonlinear heat equations in the complex plane of time	7
A unifying framework for tangential interpolation of structured bilinear control systems	6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport	6
Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	6
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	6
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	6
A super-localized generalized finite element method	6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	6
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	6
A framework for stable spectral methods in d-dimensional unit balls	6
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	6
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	6
Wave scattering problems in exterior domains with the method of fundamental solutions	6
Spectral convergence of probability densities for forward problems in uncertainty quantification	6
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	6

On the number of terms in the COS method for European option pricing