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 2022-05-01 to 2026-05-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	17
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	16
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	13
Parallel line identification for line-implicit-solvers	12
On the quadrature exactness in hyperinterpolation	12
Optimal error estimates of the diffuse domain method for second order parabolic equations	11
The Fekete problem in segmental polynomial interpolation	11
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
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	10
Barycentric interpolation formulas for the sphere and the disk	10
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
Spectral equivalence of unsymmetric kernel matrices and applications	8
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	8
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Hybrid Nitsche method for distributed computing	8
Quadrature processes for efficient calculation of the Clausen functions	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	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
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
The variable two-step BDF method for parabolic equations	6

Paige’s Algorithm for solving a class of tensor least squares problem	6
Solutions of differential equations using fractal multiquadric RBF networks	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	6
Small time chaos approximations for heat kernels of multidimensional diffusions	6
A unified immersed finite element error analysis for one-dimensional interface problems	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Exact dimension reduction for rough differential equations	5
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	5
Semi-explicit integration of second order for weakly coupled poroelasticity	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Perturbation bounds for stable gyroscopic systems	5
Block implicit methods with L-stability for parabolic problems	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
On the B-series composition theorem	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	4
Knot insertion and binary subdivision of splines	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	4
Accurate Horner methods in real and complex floating-point arithmetic	3
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
Convergence analysis of two-level methods with general coarse solvers	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Gaussian rule for integrals involving Bessel functions	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
From low-rank retractions to dynamical low-rank approximation and back	3