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 2022-06-01 to 2026-06-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	19
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	16
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	14
On the quadrature exactness in hyperinterpolation	13
The Fekete problem in segmental polynomial interpolation	12
Parallel line identification for line-implicit-solvers	12
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
Barycentric interpolation formulas for the sphere and the disk	11
Optimal error estimates of the diffuse domain method for second order parabolic equations	11
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
Spectral equivalence of unsymmetric kernel matrices and applications	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Quadrature processes for efficient calculation of the Clausen functions	8
An explicit spectral decomposition of the ADRT	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
The variable two-step BDF method for parabolic equations	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
Solutions of differential equations using fractal multiquadric RBF networks	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	6
A unified immersed finite element error analysis for one-dimensional interface problems	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
Paige’s Algorithm for solving a class of tensor least squares problem	6
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
Polynomial approximation from diffused data: unisolvence and stability	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Perturbation bounds for stable gyroscopic systems	5
Semi-explicit integration of second order for weakly coupled poroelasticity	5
Exact dimension reduction for rough differential equations	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	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
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Knot insertion and binary subdivision of splines	4
On the B-series composition theorem	4
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	4
Gaussian rule for integrals involving Bessel functions	3
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Convergence analysis of two-level methods with general coarse solvers	3
Accurate Horner methods in real and complex floating-point arithmetic	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Construction of optimal algorithms for function approximation in Gaussian Sobolev spaces	3
Block implicit methods with L-stability for parabolic problems	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	3
From low-rank retractions to dynamical low-rank approximation and back	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
On some orthogonalization schemes in Tensor Train format	3