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 2022-01-01 to 2026-01-01.)

Article	Citations
Early stopping for conjugate gradients in statistical inverse problems	35
Error estimates for total-variation regularized minimization problems with singular dual solutions	31
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	31
The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method	22
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	19
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function	19
Finite element methods for the stretching and bending of thin structures with folding	18
Interior estimates for the virtual element method	18
Parameter identification in PDEs by the solution of monotone inclusion problems	17
Least-squares finite elements for distributed optimal control problems	17
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	16
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	15
Neural networks for singular perturbations	14
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	14
Grid-free weighted particle method applied to the Vlasov–Poisson equation	14
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	13
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	13
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	12
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	12
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	11
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
Proximal linearization methods for Schatten p-quasi-norm minimization	10
Budget-limited distribution learning in multifidelity problems	10
Finite element schemes with tangential motion for fourth order geometric curve evolutions in arbitrary codimension	9

A reduced basis method for fractional diffusion operators I	9
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the Euclidean space	9
The Vlasov–Fokker–Planck equation with high dimensional parametric forcing term	9
A convergence framework for optimal transport on the sphere	9
On the numerical stability of linear barycentric rational interpolation	9
On the iterative regularization of non-linear illposed problems in $$L^{\infty }$$	9
A CJ-FEAST GSVDsolver for computing a partial GSVD of a large matrix pair with the generalized singular values in a given interval	8
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions	8
A family of conforming finite element divdiv complexes on cuboid meshes	8
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates	8
Validated integration of semilinear parabolic PDEs	8
Correction: Random reordering in SOR-type methods	8
Hanke–Raus rule for Landweber iteration in Banach spaces	8
Convergence of a finite-volume scheme and dissipative measure-valued–strong stability for a hyperbolic–parabolic cross-diffusion system	8
Robust treatment of cross-points in optimized Schwarz methods	8
Uncertainty quantification for random domains using periodic random variables	8
Universal algorithms for computing spectra of periodic operators	7
A proximal-gradient algorithm for crystal surface evolution	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
Stability of the minimum energy path	7
Which constraints of a numerical problem cause ill-conditioning?	7
Projection in negative norms and the regularization of rough linear functionals	7
Fast evaluation of real and complex polynomials	7
Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations	7
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow	7
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs	7
Numerical approximation of variational problems with orthotropic growth	7
Correction: Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	7
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport	7
A super-localized generalized finite element method	7
The pressure-wired Stokes element: a mesh-robust version of the Scott–Vogelius element	6
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	6
On the numerical approximation of a rescaling algorithm to nonlinear blow-up problems	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
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
Spectral convergence of probability densities for forward problems in uncertainty quantification	6
Rigorous numerics for nonlinear heat equations in the complex plane of time	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
Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions	5
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	5
Fast hyperbolic wavelet regression meets ANOVA	5
A discrete elasticity complex on three-dimensional Alfeld splits	5
On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition	5
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	5
Interpolation on the cubed sphere with spherical harmonics	5

Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems	5
Stability and guaranteed error control of approximations to the Monge–Ampère equation	5
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	5
Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations	5
Pressure and convection robust finite elements for magnetohydrodynamics	4
Mixed finite elements for Bingham flow in a pipe	4
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	4
$$H(\textrm{div})$$-conforming HDG methods for the stress-velocity formulation of the Stokes equations and the Navier–Stokes equations	4
Finite Difference formulation of any lattice Boltzmann scheme	4
Iterative regularization for low complexity regularizers	4
A DPG method for shallow shells	4
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	4
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	4
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	4
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors	4
Numerical analysis of time-dependent Hamilton–Jacobi equations on networks	4
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	4
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	4
Error analysis for a second order approximation of a viscoelastic phase separation model	4
A nonconforming finite element method for data assimilation subject to the transient Stokes problem	3
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method	3
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	3
Sensitivity of low-rank matrix recovery	3
An adaptive least squares boundary element method for elliptic boundary value problems	3
Large-stepsize integrators for charged-particle dynamics over multiple time scales	3
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	3
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	3
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	3
Numerical stability and tensor nuclear norm	3
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems	3
Direct serendipity and mixed finite elements on convex quadrilaterals	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
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	3
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates	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
Stabilization-free HHO a posteriori error control	3
Statistical properties of BayesCG under the Krylov prior	3
On numerical approximations to fluid–structure interactions involving compressible fluids	3
Moment-SoS methods for optimal transport problems	3
Sensitivity approximation by the Peano-Baker series	3
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	3
A hybrid high-order method for the mixed Steklov eigenvalue problem	2
Multilevel quadrature formulae for the optimal control of random PDEs	2
On the accuracy of the finite volume approximations to nonlocal conservation laws	2
Interpolation operators for parabolic problems	2
The numerical methods for the coupled fluid flow under the leak interface condition of the friction-type	2
On degenerating finite element tetrahedral partitions	2
Solving trust region subproblems using Riemannian optimization	2
Runge–Kutta convolution quadrature based on Gauss methods	2
How and why non smooth solutions of the 3D Navier–Stokes equations could possibly develop	2
Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic	2
Mathematical analysis of a finite difference method for inhomogeneous incompressible Navier–Stokes equations	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	2
A stabilized finite element method for inverse problems subject to the convection–diffusion equation. II: convection-dominated regime	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
Summing divergent matrix series	2
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	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