OOIR: Observatory of International Research

Papers

(The median citation count of BIT Numerical Mathematics is 1. 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 2021-09-01 to 2025-09-01.)

Article	Citations
On the quadrature exactness in hyperinterpolation	41
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	21
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	21
Parallel line identification for line-implicit-solvers	18
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	10
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	10
The Fekete problem in segmental polynomial interpolation	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Barycentric interpolation formulas for the sphere and the disk	9
Order theory for discrete gradient methods	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	8
Homogeneous multigrid for embedded discontinuous Galerkin methods	8
Quadrature processes for efficient calculation of the Clausen functions	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
The variable two-step BDF method for parabolic equations	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
Hermite interpolation with retractions on manifolds	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
A unified immersed finite element error analysis for one-dimensional interface problems	6

Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Small time chaos approximations for heat kernels of multidimensional diffusions	6
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	5
Perturbation bounds for stable gyroscopic systems	5
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	5
On Kosloff Tal-Ezer least-squares quadrature formulas	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Gaussian rule for integrals involving Bessel functions	5
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	5
Exact dimension reduction for rough differential equations	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
On the B-series composition theorem	5
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	5
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Weak convergence of tamed exponential integrators for stochastic differential equations	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
Block implicit methods with L-stability for parabolic problems	4
Higher strong order methods for linear Itô SDEs on matrix Lie groups	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Effective grading refinement for locally linearly independent LR B-splines	3
Convergence analysis of two-level methods with general coarse solvers	3
Convergent semi-explicit scheme to a non-linear eikonal system	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
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Newton interpolation using $$\Re $$-Leja sequences	2
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Gradients of quotients and eigenvalue problems	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials	2
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	2
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2

Symmetric-conjugate splitting methods for linear unitary problems	2
Embedded exponential-type low-regularity integrators for KdV equation under rough data	2
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
Fast floating-point filters for robust predicates	2
Stabilization of a matrix via a low-rank-adaptive ODE	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Padé-based nonlinear approximation of bivariate non-smooth functions	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
A fast randomized algorithm for computing an approximate null space	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Randomized Kaczmarz algorithm with averaging and block projection	1
Geometric means of quasi-Toeplitz matrices	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
High order approximations of the operator Lyapunov equation have low rank	1
Correction to: Inexact rational Krylov method for evolution equations	1
A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations	1
Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model	1
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
On a large-stepsize integrator for charged-particle dynamics	1
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
A rank-adaptive robust integrator for dynamical low-rank approximation	1
Solving large linear least squares problems with linear equality constraints	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Divergence-free cut finite element methods for Stokes flow	1
Error analysis for the implicit boundary integral method	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
A systematic approach to reduced GLT	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
Model order reduction of layered waveguides via rational Krylov fitting	1