OOIR: Observatory of International Research

Papers

(The TQCC of BIT Numerical Mathematics is 3. 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
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	37
On the quadrature exactness in hyperinterpolation	19
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	17
Parallel line identification for line-implicit-solvers	15
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	12
Order theory for discrete gradient methods	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	10
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	10
The Fekete problem in segmental polynomial interpolation	10
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Homogeneous multigrid for embedded discontinuous Galerkin methods	9
Barycentric interpolation formulas for the sphere and the disk	9
Quadrature processes for efficient calculation of the Clausen functions	8
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	8
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	7
Small time chaos approximations for heat kernels of multidimensional diffusions	7
The variable two-step BDF method for parabolic equations	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	7
Paige’s Algorithm for solving a class of tensor least squares problem	6

Hermite interpolation with retractions on manifolds	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Exact dimension reduction for rough differential equations	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Perturbation bounds for stable gyroscopic systems	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Weak convergence of tamed exponential integrators for stochastic differential equations	4
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Block implicit methods with L-stability for parabolic problems	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Gaussian rule for integrals involving Bessel functions	4
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	4
On the B-series composition theorem	4
On Kosloff Tal-Ezer least-squares quadrature formulas	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
Convergent semi-explicit scheme to a non-linear eikonal system	3
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	3
Convergence analysis of two-level methods with general coarse solvers	3
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	3
From low-rank retractions to dynamical low-rank approximation and back	3
Effective grading refinement for locally linearly independent LR B-splines	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Embedded exponential-type low-regularity integrators for KdV equation under rough data	3
Higher strong order methods for linear Itô SDEs on matrix Lie groups	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3