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 2021-06-01 to 2025-06-01.)

Article	Citations
Finite element methods for the stretching and bending of thin structures with folding	31
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	27
Error estimates for total-variation regularized minimization problems with singular dual solutions	26
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	25
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	25
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	24
Interior estimates for the virtual element method	23
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	23
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	16
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	16
Least-squares finite elements for distributed optimal control problems	15
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	15
Grid-free weighted particle method applied to the Vlasov–Poisson equation	14
Parameter identification in PDEs by the solution of monotone inclusion problems	14
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations	13
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	13
Correction to: A note on Dekker’s FastTwoSum algorithm	13
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	12
Randomized block Krylov methods for approximating extreme eigenvalues	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	11
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	11
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	10
Proximal linearization methods for Schatten p-quasi-norm minimization	10
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	10

Budget-limited distribution learning in multifidelity problems	10
On the numerical stability of linear barycentric rational interpolation	9
Krylov improvements of the Uzawa method for Stokes type operator matrices	9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates	9
A convergence framework for optimal transport on the sphere	9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	9
On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$	9
Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems	8
Robust treatment of cross-points in optimized Schwarz methods	8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	8
Stability of the minimum energy path	8
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$	8
Validated integration of semilinear parabolic PDEs	8
Universal algorithms for computing spectra of periodic operators	8
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	8
A reduced basis method for fractional diffusion operators I	8
Hanke–Raus rule for Landweber iteration in Banach spaces	8
Correction: Random reordering in SOR-type methods	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
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation	7
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	7
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	7
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	7
A proximal-gradient algorithm for crystal surface evolution	7
A family of conforming finite element divdiv complexes on cuboid meshes	7
Uncertainty quantification for random domains using periodic random variables	7
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	7
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 unifying framework for tangential interpolation of structured bilinear control systems	6
Fast evaluation of real and complex polynomials	6
Numerical approximation of variational problems with orthotropic growth	6
Convergent adaptive hybrid higher-order schemes for convex minimization	6
On the number of terms in the COS method for European option pricing	6
A super-localized generalized finite element method	6
Wave scattering problems in exterior domains with the method of fundamental solutions	6
Which constraints of a numerical problem cause ill-conditioning?	6
Projection in negative norms and the regularization of rough linear functionals	6
Lattice enumeration via linear programming	6
Rigorous numerics for nonlinear heat equations in the complex plane of time	6
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	6
Spectral convergence of probability densities for forward problems in uncertainty quantification	6
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	6
Corners and stable optimized domain decomposition methods for the Helmholtz problem	6
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	6