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 2022-01-01 to 2026-01-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	50
On the quadrature exactness in hyperinterpolation	22
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	13
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	12
Parallel line identification for line-implicit-solvers	12
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	11
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
Order theory for discrete gradient methods	11
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	10
The Fekete problem in segmental polynomial interpolation	10
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	10
Barycentric interpolation formulas for the sphere and the disk	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	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
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Small time chaos approximations for heat kernels of multidimensional diffusions	7
Solutions of differential equations using fractal multiquadric RBF networks	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
The variable two-step BDF method for parabolic equations	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Quadrature processes for efficient calculation of the Clausen functions	7
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	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
Hermite interpolation with retractions on manifolds	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	5
Exact dimension reduction for rough differential equations	5
On the B-series composition theorem	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Perturbation bounds for stable gyroscopic systems	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	4
Block implicit methods with L-stability for parabolic problems	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Knot insertion and binary subdivision of splines	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
Gaussian rule for integrals involving Bessel functions	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Convergence analysis of two-level methods with general coarse solvers	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
From low-rank retractions to dynamical low-rank approximation and back	3
Higher strong order methods for linear Itô SDEs on matrix Lie groups	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