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 2021-06-01 to 2025-06-01.)

Article	Citations
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	37
On the quadrature exactness in hyperinterpolation	19
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	17
Parallel line identification for line-implicit-solvers	15
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	12
The Fekete problem in segmental polynomial interpolation	10
Order theory for discrete gradient methods	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	10
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	10
Barycentric interpolation formulas for the sphere and the disk	9
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Homogeneous multigrid for embedded discontinuous Galerkin methods	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	8
Quadrature processes for efficient calculation of the Clausen functions	8
The variable two-step BDF method for parabolic equations	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	7
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	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	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	7
Small time chaos approximations for heat kernels of multidimensional diffusions	7
Paige’s Algorithm for solving a class of tensor least squares problem	6

Hermite interpolation with retractions on manifolds	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Exact dimension reduction for rough differential equations	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Perturbation bounds for stable gyroscopic systems	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
On the B-series composition theorem	4
On Kosloff Tal-Ezer least-squares quadrature formulas	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
Weak convergence of tamed exponential integrators for stochastic differential equations	4
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Block implicit methods with L-stability for parabolic problems	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Gaussian rule for integrals involving Bessel functions	4
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	4
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	3
Convergence analysis of two-level methods with general coarse solvers	3
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	3
From low-rank retractions to dynamical low-rank approximation and back	3
Effective grading refinement for locally linearly independent LR B-splines	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Embedded exponential-type low-regularity integrators for KdV equation under rough data	3
Higher strong order methods for linear Itô SDEs on matrix Lie groups	3
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Fast floating-point filters for robust predicates	2
Newton interpolation using $$\Re $$-Leja sequences	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems	2
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
Symmetric-conjugate splitting methods for linear unitary problems	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
Gradients of quotients and eigenvalue problems	2

On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
High order approximations of the operator Lyapunov equation have low rank	1
Geometric means of quasi-Toeplitz matrices	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
Stabilised finite element method for Stokes problem with nonlinear slip condition	1
Randomized Kaczmarz algorithm with averaging and block projection	1
A fast randomized algorithm for computing an approximate null space	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Divergence-free cut finite element methods for Stokes flow	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
Correction to: Inexact rational Krylov method for evolution equations	1
Error analysis for the implicit boundary integral method	1
On a large-stepsize integrator for charged-particle dynamics	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
Stabilization of a matrix via a low-rank-adaptive ODE	1
Multilevel Monte Carlo using approximate distributions of the CIR process	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
Dynamical low-rank integrators for second-order matrix differential equations	1
A systematic approach to reduced GLT	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
A fully structured preconditioner for a class of complex symmetric indefinite linear systems	1
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	1
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	1
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	1