OOIR: Observatory of International Research

Papers

(The TQCC of Numerische Mathematik is 5. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	22
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	21
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	20
Riemannian acceleration with preconditioning for symmetric eigenvalue problems	19
A model reduction approach for inverse problems with operator valued data	19
Preconditioning high order $$H^2$$ conforming finite elements on triangles	19
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	18
A proximal-gradient algorithm for crystal surface evolution	17
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	15
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor	13
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	12
A convergent finite volume scheme for dissipation driven models with volume filling constraint	11
Which constraints of a numerical problem cause ill-conditioning?	11
Functions of rational Krylov space matrices and their decay properties	10
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	10
Corners and stable optimized domain decomposition methods for the Helmholtz problem	10
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	10
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	9
On the adaptive Levin method	9
A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions	9
Finite element methods for the stretching and bending of thin structures with folding	9
Projection in negative norms and the regularization of rough linear functionals	9
Error estimates for total-variation regularized minimization problems with singular dual solutions	9
Monotone discretizations of levelset convex geometric PDEs	9
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach	8

Numerical approximation of variational problems with orthotropic growth	8
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	8
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	8
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	7
Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry	7
Large-stepsize integrators for charged-particle dynamics over multiple time scales	7
Convergent adaptive hybrid higher-order schemes for convex minimization	7
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	7
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	7
Numerical dynamics of integrodifference equations	7
Weak convergence rates for temporal numerical approximations of the semilinear stochastic wave equation with multiplicative noise	7
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	7
On algebraically stabilized schemes for convection–diffusion–reaction problems	7
Compression of boundary integral operators discretized by anisotropic wavelet bases	7
Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations	6
Improved ParaDiag via low-rank updates and interpolation	6
A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy	6
Goal-oriented adaptive finite element methods with optimal computational complexity	6
Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation	6
Two-layer networks with the $$\text {ReLU}^k$$ activation function: Barron spaces and derivative approximation	6
Lattice enumeration via linear programming	6
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity	6
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	6
A roadmap for Generalized Plane Waves and their interpolation properties	6
Stability and asymptotic analysis for instationary gas transport via relative energy estimates	6
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	6
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	6
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	6
Nearest $$\varOmega $$-stable matrix via Riemannian optimization	6
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Interior estimates for the virtual element method	6
Numerical stability and tensor nuclear norm	6
Moment-SoS methods for optimal transport problems	6
Entropy inequalities for fully-discrete E-schemes: a sequel	6
Corrected trapezoidal rules for boundary integral equations in three dimensions	5
Least-squares finite elements for distributed optimal control problems	5
Oscillation in a posteriori error estimation	5
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains	5
A unifying framework for tangential interpolation of structured bilinear control systems	5
Error estimates for deep learning methods in fluid dynamics	5
Maximizing sum of coupled traces with applications	5
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	5
Fortin operator for the Taylor–Hood element	5
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	5
A super-localized generalized finite element method	5
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	5
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	5
Orthogonality relations of Crouzeix–Raviart and Raviart–Thomas finite element spaces	5
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	5

Fast solution of incompressible flow problems with two-level pressure approximation	5
Stochastic collocation method for computing eigenspaces of parameter-dependent operators	5
The local discontinuous Galerkin method for a singularly perturbed convection–diffusion problem with characteristic and exponential layers	5
Super-localization of spatial network models	5