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 2021-12-01 to 2025-12-01.)

Article	Citations
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	49
On the quadrature exactness in hyperinterpolation	22
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	12
Parallel line identification for line-implicit-solvers	12
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	11
The Fekete problem in segmental polynomial interpolation	11
Order theory for discrete gradient methods	10
Barycentric interpolation formulas for the sphere and the disk	10
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	9
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	8
Solutions of differential equations using fractal multiquadric RBF networks	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
The variable two-step BDF method for parabolic equations	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Quadrature processes for efficient calculation of the Clausen functions	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7

Small time chaos approximations for heat kernels of multidimensional diffusions	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
Hermite interpolation with retractions on manifolds	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	6
Perturbation bounds for stable gyroscopic systems	5
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Exact dimension reduction for rough differential equations	5
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
On the B-series composition theorem	5
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Gaussian rule for integrals involving Bessel functions	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Knot insertion and binary subdivision of splines	4
On Kosloff Tal-Ezer least-squares quadrature formulas	4
Block implicit methods with L-stability for parabolic problems	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4