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 2021-11-01 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
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
Least-squares finite elements for distributed optimal control problems	15
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
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	14
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
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	13
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
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	11
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

A convergence framework for optimal transport on the sphere	10
Budget-limited distribution learning in multifidelity problems	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
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
Hanke–Raus rule for Landweber iteration in Banach spaces	8
Universal algorithms for computing spectra of periodic operators	8
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
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 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	6

A unifying framework for tangential interpolation of structured bilinear control systems	6
A discrete elasticity complex on three-dimensional Alfeld splits	5
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	5
Numerical analysis of time-dependent Hamilton–Jacobi equations on networks	5
Iterative regularization for low complexity regularizers	5
Interpolation on the cubed sphere with spherical harmonics	5
Stability and guaranteed error control of approximations to the Monge–Ampère equation	5
$$H(\textrm{div})$$-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations	5
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	5
Fast hyperbolic wavelet regression meets ANOVA	5
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	5
A DPG method for shallow shells	5
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	5
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	4
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	4
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	4
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	4
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates	4
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors	4
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	4
Pressure and convection robust finite elements for magnetohydrodynamics	4
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method	4
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	4
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	4
Mixed finite elements for Bingham flow in a pipe	4
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates	4
Error analysis for a second order approximation of a viscoelastic phase separation model	4
Finite Difference formulation of any lattice Boltzmann scheme	4
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	4
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	4
Interpolation operators for parabolic problems	3
On numerical approximations to fluid–structure interactions involving compressible fluids	3
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	3
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	3
Numerical stability and tensor nuclear norm	3
Fortin operator for the Taylor–Hood element	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
Stabilization-free HHO a posteriori error control	3
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	3
Large-stepsize integrators for charged-particle dynamics over multiple time scales	3
Error estimates for deep learning methods in fluid dynamics	3
A nonconforming finite element method for data assimilation subject to the transient Stokes problem	3
Direct serendipity and mixed finite elements on convex quadrilaterals	3
Sensitivity of low-rank matrix recovery	3
Statistical properties of BayesCG under the Krylov prior	3
Rate of convergence for numerical $$\alpha$$-dissipative solutions of the Hunter–Saxton equation	3
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	3
Moment-SoS methods for optimal transport problems	3
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	3
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems	3
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
Solving trust region subproblems using Riemannian optimization	2
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
On degenerating finite element tetrahedral partitions	2
On the accuracy of the finite volume approximations to nonlocal conservation laws	2
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
An error bound for the time-sliced thawed Gaussian propagation method	2
A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
How and why non smooth solutions of the 3D Navier–Stokes equations could possibly develop	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic	2
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	2
Summing divergent matrix series	2
A hybrid high-order method for the mixed Steklov eigenvalue problem	2
Multilevel quadrature formulae for the optimal control of random PDEs	2