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 2021-05-01 to 2025-05-01.)

Article	Citations
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	52
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	33
On the quadrature exactness in hyperinterpolation	25
Parallel line identification for line-implicit-solvers	19
Order theory for discrete gradient methods	17
The Fekete problem in segmental polynomial interpolation	15
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	12
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
Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization	9
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
Quadrature processes for efficient calculation of the Clausen functions	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	7
An unconventional robust integrator for dynamical low-rank approximation	7
The variable two-step BDF method for parabolic equations	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
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Hermite interpolation with retractions on manifolds	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

Semi-explicit integration of second order for weakly coupled poroelasticity	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
A unified immersed finite element error analysis for one-dimensional interface problems	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Perturbation bounds for stable gyroscopic systems	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Exact dimension reduction for rough differential equations	5
Block implicit methods with L-stability for parabolic problems	4
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ 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
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Gaussian rule for integrals involving Bessel functions	4
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	4
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	4
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	4
Hybrid CUR-type decomposition of tensors in the Tucker format	4
On Kosloff Tal-Ezer least-squares quadrature formulas	4
Higher strong order methods for linear Itô SDEs on matrix Lie groups	4
Weak convergence of tamed exponential integrators for stochastic differential equations	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
From low-rank retractions to dynamical low-rank approximation and back	3
Convergent semi-explicit scheme to a non-linear eikonal system	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
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems	3
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	3
Convergence analysis of two-level methods with general coarse solvers	3
Effective grading refinement for locally linearly independent LR B-splines	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	3
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	3
Gradients of quotients and eigenvalue problems	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Newton interpolation using $$\Re $$-Leja sequences	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	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
Randomized Kaczmarz algorithm with averaging and block projection	2

Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	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
Dynamical low-rank integrators for second-order matrix differential equations	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
Error analysis for the implicit boundary integral method	1
Correction to: Inexact rational Krylov method for evolution equations	1
A systematic approach to reduced GLT	1
Geometric means of quasi-Toeplitz matrices	1
A fully structured preconditioner for a class of complex symmetric indefinite linear systems	1
Stabilization of a matrix via a low-rank-adaptive ODE	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian	1
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	1
Divergence-free cut finite element methods for Stokes flow	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Randomized Kaczmarz for tensor linear systems	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
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
High order approximations of the operator Lyapunov equation have low rank	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	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
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Stabilised finite element method for Stokes problem with nonlinear slip condition	1
A fast randomized algorithm for computing an approximate null space	1