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 2021-10-01 to 2025-10-01.)

Article	Citations
Finite element methods for the stretching and bending of thin structures with folding	37
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	32
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	28
Early stopping for conjugate gradients in statistical inverse problems	27
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method	18
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	17
Error estimates for total-variation regularized minimization problems with singular dual solutions	17
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function	17
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	15
Interior estimates for the virtual element method	15
Neural networks for singular perturbations	15
Least-squares finite elements for distributed optimal control problems	14
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	14
Parameter identification in PDEs by the solution of monotone inclusion problems	14
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	13
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	13
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	13
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	13
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	12
Randomized block Krylov methods for approximating extreme eigenvalues	12
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	11
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	11
Budget-limited distribution learning in multifidelity problems	10
Grid-free weighted particle method applied to the Vlasov–Poisson equation	10
Proximal linearization methods for Schatten p-quasi-norm minimization	10

On outer bi-Lipschitz extensions of linear Johnson-Lindenstrauss embeddings of subsets of $$\mathbb {R}^N$$	9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	9
Validated integration of semilinear parabolic PDEs	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
Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems	9
On the numerical stability of linear barycentric rational interpolation	9
A convergence framework for optimal transport on the sphere	9
Hanke–Raus rule for Landweber iteration in Banach spaces	9
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates	8
Robust treatment of cross-points in optimized Schwarz methods	8
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification	8
A family of conforming finite element divdiv complexes on cuboid meshes	8
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	8
Universal algorithms for computing spectra of periodic operators	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 reduced basis method for fractional diffusion operators I	8
A sharp relative-error bound for the Helmholtz h-FEM at high frequency	8
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	8
Stability of the minimum energy path	8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	8
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions	8
Correction: Random reordering in SOR-type methods	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
Corners and stable optimized domain decomposition methods for the Helmholtz problem	7
Which constraints of a numerical problem cause ill-conditioning?	7
Convergent adaptive hybrid higher-order schemes for convex minimization	7
Numerical approximation of variational problems with orthotropic growth	7
Projection in negative norms and the regularization of rough linear functionals	7
A proximal-gradient algorithm for crystal surface evolution	7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	7
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	6
A unifying framework for tangential interpolation of structured bilinear control systems	6
Rigorous numerics for nonlinear heat equations in the complex plane of time	6
On the number of terms in the COS method for European option pricing	6
Lattice enumeration via linear programming	6
A super-localized generalized finite element method	6
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport	6
Spectral convergence of probability densities for forward problems in uncertainty quantification	6
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	6
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	6
Fast evaluation of real and complex polynomials	6
Wave scattering problems in exterior domains with the method of fundamental solutions	6
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	6
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	5
Fast hyperbolic wavelet regression meets ANOVA	5
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	5
$$H(\textrm{div})$$-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations	5
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	5

Preconditioning techniques for the coupled Stokes–Darcy problem: spectral and field-of-values analysis	5
Interpolation on the cubed sphere with spherical harmonics	5
A discrete elasticity complex on three-dimensional Alfeld splits	5
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	5
Iterative regularization for low complexity regularizers	5
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	5
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	5
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	5
Stability and guaranteed error control of approximations to the Monge–Ampère equation	5
A DPG method for shallow shells	5
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	5
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	5
Pressure and convection robust finite elements for magnetohydrodynamics	4
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	4
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	4
Finite Difference formulation of any lattice Boltzmann scheme	4
Large-stepsize integrators for charged-particle dynamics over multiple time scales	4
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	4
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	4
Error analysis for a second order approximation of a viscoelastic phase separation model	4
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	4
Mixed finite elements for Bingham flow in a pipe	4
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	4
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	4
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors	4
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates	4
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	4
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method	4
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates	4
Stabilization-free HHO a posteriori error control	3
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	3
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	3
Error estimates for deep learning methods in fluid dynamics	3
Statistical properties of BayesCG under the Krylov prior	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	3
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	3
Fortin operator for the Taylor–Hood element	3
On numerical approximations to fluid–structure interactions involving compressible fluids	3
Numerical stability and tensor nuclear norm	3
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	3
Rate of convergence for numerical $$\alpha$$-dissipative solutions of the Hunter–Saxton equation	3
Moment-SoS methods for optimal transport problems	3
Sensitivity of low-rank matrix recovery	3
Direct serendipity and mixed finite elements on convex quadrilaterals	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
An averaged space–time discretization of the stochastic p-Laplace system	2
An error bound for the time-sliced thawed Gaussian propagation method	2
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
Interpolation operators for parabolic problems	2
On the accuracy of the finite volume approximations to nonlocal conservation laws	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
Summing divergent matrix series	2
Runge–Kutta convolution quadrature based on Gauss methods	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic	2
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems	2
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	2
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells	2
Solving trust region subproblems using Riemannian optimization	2
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
On degenerating finite element tetrahedral partitions	2
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	2