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 2022-08-01 to 2026-08-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	23
Splitting schemes for ODEs with goal–oriented error estimation	18
On the quadrature exactness in hyperinterpolation	14
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	14
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	13
Optimal error estimates of the diffuse domain method for second order parabolic equations	13
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning	13
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	12
The Fekete problem in segmental polynomial interpolation	12
Parallel line identification for line-implicit-solvers	11
Barycentric interpolation formulas for the sphere and the disk	11
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	10
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	10
Hybrid Nitsche method for distributed computing	10
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
An explicit spectral decomposition of the ADRT	9
Spectral equivalence of unsymmetric kernel matrices and applications	9
A concentration-preserving discontinuous Galerkin method for multi-component preparative chromatography	8
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	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	7
Quadrature processes for efficient calculation of the Clausen functions	7
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	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	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Solutions of differential equations using fractal multiquadric RBF networks	6
The variable two-step BDF method for parabolic equations	6
Small time chaos approximations for heat kernels of multidimensional diffusions	6
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	5
A variational framework for the complexity of PDE solutions	5
Exact dimension reduction for rough differential equations	5
A priori error estimates of a fictitious domain formulation of the Newtonian cooling problem	5
Subset selection for matrices in spectral norm	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Paige’s Algorithm for solving a class of tensor least squares problem	5
A unified immersed finite element error analysis for one-dimensional interface problems	5
Perturbation bounds for stable gyroscopic systems	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	4
Knot insertion and binary subdivision of splines	4
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
Polynomial approximation from diffused data: unisolvence and stability	4
On the B-series composition theorem	4
An efficient adaptive multigrid method for the elasticity eigenvalue problem	4
Block implicit methods with L-stability for parabolic problems	4