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 2021-04-01 to 2025-04-01.)

Article	Citations
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation	28
A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions	25
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains	24
A model reduction approach for inverse problems with operator valued data	23
Riemannian acceleration with preconditioning for symmetric eigenvalue problems	22
Preconditioning high order $$H^2$$ conforming finite elements on triangles	21
A proximal-gradient algorithm for crystal surface evolution	20
New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor	19
Improved error estimates for the finite volume and the MAC schemes for the compressible Navier–Stokes system	19
Which constraints of a numerical problem cause ill-conditioning?	15
A convergent finite volume scheme for dissipation driven models with volume filling constraint	13
Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis	12
Corners and stable optimized domain decomposition methods for the Helmholtz problem	12
Functions of rational Krylov space matrices and their decay properties	12
Space-time CutFEM on overlapping meshes II: simple discontinuous mesh evolution	11
Projection in negative norms and the regularization of rough linear functionals	11
Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations	11
Error estimates for total-variation regularized minimization problems with singular dual solutions	10
Monotone discretizations of levelset convex geometric PDEs	10
A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions	10
Finite element methods for the stretching and bending of thin structures with folding	10
Numerical approximation of variational problems with orthotropic growth	9
Weak convergence rates for temporal numerical approximations of the semilinear stochastic wave equation with multiplicative noise	9
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation	9
On the adaptive Levin method	9

Convergent adaptive hybrid higher-order schemes for convex minimization	9
An immersed Crouzeix–Raviart finite element method in 2D and 3D based on discrete level set functions	9
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach	9
Large-stepsize integrators for charged-particle dynamics over multiple time scales	8
Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry	8
Compression of boundary integral operators discretized by anisotropic wavelet bases	8
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates	8
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method	8
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap	8
Improved ParaDiag via low-rank updates and interpolation	7
New analysis and recovery technique of mixed FEMs for compressible miscible displacement in porous media	7
A posteriori error estimates for Radau IIA methods via maximal parabolic regularity	7
Nearest $$\varOmega $$-stable matrix via Riemannian optimization	7
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws	7
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains	7
On algebraically stabilized schemes for convection–diffusion–reaction problems	7
Numerical dynamics of integrodifference equations	7
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations	7
A roadmap for Generalized Plane Waves and their interpolation properties	7
Moment-SoS methods for optimal transport problems	6
Orthogonality relations of Crouzeix–Raviart and Raviart–Thomas finite element spaces	6
Oscillation in a posteriori error estimation	6
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains	6
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM	6
Entropy inequalities for fully-discrete E-schemes: a sequel	6
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux	6
Corrected trapezoidal rules for boundary integral equations in three dimensions	6
Fast solution of incompressible flow problems with two-level pressure approximation	6
A stable local commuting projector and optimal hp approximation estimates in $$\varvec{H}(\textrm{curl})$$	6
Least-squares finite elements for distributed optimal control problems	6
Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation	6
Goal-oriented adaptive finite element methods with optimal computational complexity	6
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems	6
Two-layer networks with the $$\text {ReLU}^k$$ activation function: Barron spaces and derivative approximation	6
Maximizing sum of coupled traces with applications	6
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems	6
Super-localization of spatial network models	6
Numerical stability and tensor nuclear norm	6
Interior estimates for the virtual element method	6
Lattice enumeration via linear programming	6
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains	5
A super-localized generalized finite element method	5
Rigorous numerics for nonlinear heat equations in the complex plane of time	5
Maximal spaces for approximation rates in $$\ell ^1$$-regularization	5
A fully discrete evolving surface finite element method for the Cahn–Hilliard equation with a regular potential	5
Stability and error estimates of a linear numerical scheme approximating nonlinear fluid-structure interactions	5
Fast evaluation of real and complex polynomials	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
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time	5

Stabilization of loosely coupled schemes for 0D–3D fluid–structure interaction problems with application to cardiovascular modelling	5
Sparse harmonic transforms II: best s-term approximation guarantees for bounded orthonormal product bases in sublinear-time	5
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics	5
A unifying framework for tangential interpolation of structured bilinear control systems	5
A new parameter free partially penalized immersed finite element and the optimal convergence analysis	5
Publisher Correction to: On the numerical stability of linear barycentric rational interpolation	5
Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity	5
Stability and asymptotic analysis for instationary gas transport via relative energy estimates	5
Error estimates for deep learning methods in fluid dynamics	5