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 2021-06-01 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 structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	16
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	16
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	15
Least-squares finite elements for distributed optimal control problems	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
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states	13
Correction to: A note on Dekker’s FastTwoSum algorithm	13
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations	13
Randomized block Krylov methods for approximating extreme eigenvalues	12
Asymptotic properties of Monte Carlo methods in elliptic PDE-constrained optimization under uncertainty	12
An iterative method for the solution of Laplace-like equations in high and very high space dimensions	12
Finite element approximation of time-dependent mean field games with nondifferentiable Hamiltonians	11
Concentration in Lotka–Volterra parabolic equations: an asymptotic-preserving scheme	11
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

Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations	10
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
On the numerical stability of linear barycentric rational interpolation	9
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
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
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
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
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
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
Physics-preserving enriched Galerkin method for a fully-coupled thermo-poroelasticity model	5
Interpolation on the cubed sphere with spherical harmonics	5
Dynamical reduced basis methods for Hamiltonian systems	5
Stability and guaranteed error control of approximations to the Monge–Ampère equation	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
Fast hyperbolic wavelet regression meets ANOVA	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
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
Newton–Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model	5
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra	5
Anisotropic modified Crouzeix–Raviart finite element method for the stationary Navier–Stokes equation	5
Bilinear control of semilinear elliptic PDEs: convergence of a semismooth Newton method	5
A DPG method for shallow shells	5
An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates	4
On the approximation of electromagnetic fields by edge finite elements—Part 4: analysis of the model with one sign-changing coefficient	4
Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas	4
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	4
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	4
Mixed and hybrid Petrov–Galerkin finite element discretization for optimal control of the wave equation	4
A convexity enforcing $${C}^{{0}}$$ interior penalty method for the Monge–Ampère equation on convex polygonal domains	4
Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations	4
Computation of the von Neumann entropy of large matrices via trace estimators and rational Krylov methods	4
Large-stepsize integrators for charged-particle dynamics over multiple time scales	4
Preconditioning high order $$H^2$$ conforming finite elements on triangles	4
Iterative regularization for low complexity regularizers	4
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces	4
Mixed finite elements for Bingham flow in a pipe	4
Finite Difference formulation of any lattice Boltzmann scheme	4
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	4
Moment-SoS methods for optimal transport problems	3
On the accuracy of the finite volume approximations to nonlocal conservation laws	3
Interpolation operators for parabolic problems	3
On numerical approximations to fluid–structure interactions involving compressible fluids	3
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	3
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	3
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	3
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method	3
Error estimates for deep learning methods in fluid dynamics	3
Stabilization-free HHO a posteriori error control	3
Sensitivity of low-rank matrix recovery	3
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems	3
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	3
Fortin operator for the Taylor–Hood element	3
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	3
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	3
Numerical stability and tensor nuclear norm	3
Statistical properties of BayesCG under the Krylov prior	3
Direct serendipity and mixed finite elements on convex quadrilaterals	3
Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit	3
A generic construction for high order approximation schemes of semigroups using random grids	3
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	3
Penalty method for the Navier–Stokes–Fourier system with Dirichlet boundary conditions: convergence and error estimates	3
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	3
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
Runge–Kutta convolution quadrature based on Gauss methods	2
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	2
On algebraically stabilized schemes for convection–diffusion–reaction problems	2
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time	2
Solving trust region subproblems using Riemannian optimization	2
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration	2
A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems	2
AS++ T-splines: arbitrary degree, nestedness and approximation	2
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings	2
Lack of superstable trajectories in linear viscoelasticity: a numerical approach	2
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	2
Monotone discretizations of levelset convex geometric PDEs	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
Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells	2
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems	2
Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method	2
Hybrid a posteriori error estimators for conforming finite element approximations to stationary convection-diffusion-reaction equations	2
A hybrid high-order method for the mixed Steklov eigenvalue problem	2
Correction to: Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	2
A convergent finite volume scheme for dissipation driven models with volume filling constraint	2
A stabilized finite element method for inverse problems subject to the convection–diffusion equation. II: convection-dominated regime	2
A structure-preserving finite element method for the multi-phase Mullins–Sekerka problem with triple junctions	2
Exponential convergence of hp FEM for spectral fractional diffusion in polygons	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