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 2021-08-01 to 2025-08-01.)

Article	Citations
On the quadrature exactness in hyperinterpolation	41
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	21
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	20
Parallel line identification for line-implicit-solvers	17
Order theory for discrete gradient methods	10
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	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Barycentric interpolation formulas for the sphere and the disk	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	8
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	8
The variable two-step BDF method for parabolic equations	8
Homogeneous multigrid for embedded discontinuous Galerkin methods	8
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
Small time chaos approximations for heat kernels of multidimensional diffusions	7
Quadrature processes for efficient calculation of the Clausen functions	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	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
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
Exact dimension reduction for rough differential equations	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Hermite interpolation with retractions on manifolds	6
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	5
On the B-series composition theorem	5
Gaussian rule for integrals involving Bessel functions	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Perturbation bounds for stable gyroscopic systems	5
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	5
On Kosloff Tal-Ezer least-squares quadrature formulas	5
Accurate Horner methods in real and complex floating-point arithmetic	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	4
Weak convergence of tamed exponential integrators for stochastic differential equations	4
Block implicit methods with L-stability for parabolic problems	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
From low-rank retractions to dynamical low-rank approximation and back	4
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	4
Convergence analysis of two-level methods with general coarse solvers	4
Higher strong order methods for linear Itô SDEs on matrix Lie groups	4
Effective grading refinement for locally linearly independent LR B-splines	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	3
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Fast floating-point filters for robust predicates	2
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Embedded exponential-type low-regularity integrators for KdV equation under rough data	2
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems	2

Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Newton interpolation using $$\Re $$-Leja sequences	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Gradients of quotients and eigenvalue problems	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	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
Dynamical low-rank integrators for second-order matrix differential equations	1
Correction to: Inexact rational Krylov method for evolution equations	1
A systematic approach to reduced GLT	1
A fully structured preconditioner for a class of complex symmetric indefinite linear systems	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Geometric means of quasi-Toeplitz matrices	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Divergence-free cut finite element methods for Stokes flow	1
Resolving entropy growth from iterative methods	1
A rank-adaptive robust integrator for dynamical low-rank approximation	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
A fast randomized algorithm for computing an approximate null space	1
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
Randomized Kaczmarz algorithm with averaging and block projection	1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
Error analysis for the implicit boundary integral method	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
Model order reduction of layered waveguides via rational Krylov fitting	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
High order approximations of the operator Lyapunov equation have low rank	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
Stabilization of a matrix via a low-rank-adaptive ODE	1