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 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
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	17
Interior estimates for the virtual element method	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
Least-squares finite elements for distributed optimal control problems	13
Neural networks for singular perturbations	13
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
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	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
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
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
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
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
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