OOIR: Observatory of International Research

Papers

(The TQCC of BIT Numerical Mathematics is 4. 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 2021-08-01 to 2025-08-01.)

Article	Citations
On the quadrature exactness in hyperinterpolation	41
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	21
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	20
Parallel line identification for line-implicit-solvers	17
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	10
Order theory for discrete gradient methods	10
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Barycentric interpolation formulas for the sphere and the disk	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
The Fekete problem in segmental polynomial interpolation	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	8
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	8
The variable two-step BDF method for parabolic equations	8
Homogeneous multigrid for embedded discontinuous Galerkin methods	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Small time chaos approximations for heat kernels of multidimensional diffusions	7
Quadrature processes for efficient calculation of the Clausen functions	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
Exact dimension reduction for rough differential equations	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6

Hermite interpolation with retractions on manifolds	6
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
Perturbation bounds for stable gyroscopic systems	5
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	5
On Kosloff Tal-Ezer least-squares quadrature formulas	5
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	5
On the B-series composition theorem	5
Gaussian rule for integrals involving Bessel functions	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Block implicit methods with L-stability for parabolic problems	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
From low-rank retractions to dynamical low-rank approximation and back	4
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	4
Convergence analysis of two-level methods with general coarse solvers	4
Higher strong order methods for linear Itô SDEs on matrix Lie groups	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	4
Weak convergence of tamed exponential integrators for stochastic differential equations	4