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 2021-11-01 to 2025-11-01.)

Article	Citations
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	44
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	21
On the quadrature exactness in hyperinterpolation	12
Parallel line identification for line-implicit-solvers	12
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	11
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
The Fekete problem in segmental polynomial interpolation	11
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	10
Order theory for discrete gradient methods	10
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Barycentric interpolation formulas for the sphere and the disk	9
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	9
Homogeneous multigrid for embedded discontinuous Galerkin methods	8
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	8
Low regularity integrators for semilinear parabolic equations with maximum bound principles	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	8
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
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	7
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
Solutions of differential equations using fractal multiquadric RBF networks	7
A unified immersed finite element error analysis for one-dimensional interface problems	6

Paige’s Algorithm for solving a class of tensor least squares problem	6
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
Hermite interpolation with retractions on manifolds	6
Small time chaos approximations for heat kernels of multidimensional diffusions	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
On the B-series composition theorem	5
Perturbation bounds for stable gyroscopic systems	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Exact dimension reduction for rough differential equations	5
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Accurate Horner methods in real and complex floating-point arithmetic	4
Gaussian rule for integrals involving Bessel functions	4
On Kosloff Tal-Ezer least-squares quadrature formulas	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	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
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
From low-rank retractions to dynamical low-rank approximation and back	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
Effective grading refinement for locally linearly independent LR B-splines	3
Convergence analysis of two-level methods with general coarse solvers	3
Higher strong order methods for linear Itô SDEs on matrix Lie groups	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Randomized Kaczmarz algorithm with averaging and block projection	2
Stabilization of a matrix via a low-rank-adaptive ODE	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	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
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2
Gradients of quotients and eigenvalue problems	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2
Newton interpolation using $$\Re $$-Leja sequences	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2

Symmetric-conjugate splitting methods for linear unitary problems	2
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	2
On some orthogonalization schemes in Tensor Train format	2
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	2
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	2
Fast floating-point filters for robust predicates	2
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	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
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
Solving large linear least squares problems with linear equality constraints	1
Approximating maps into manifolds with lower curvature bounds	1
Model order reduction of layered waveguides via rational Krylov fitting	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
Error analysis for the implicit boundary integral method	1
Divergence-free cut finite element methods for Stokes flow	1
A fast randomized algorithm for computing an approximate null space	1
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	1
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Super-localized orthogonal decomposition for convection-dominated diffusion problems	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
Dynamical low-rank integrators for second-order matrix differential equations	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
On a large-stepsize integrator for charged-particle dynamics	1
Geometric means of quasi-Toeplitz matrices	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
Convergence and stability of randomized implicit two-stage Runge–Kutta schemes	1
Resolving entropy growth from iterative methods	1
Well-posedness and finite element approximation of mixed dimensional partial differential equations	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
A rank-adaptive robust integrator for dynamical low-rank approximation	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
High order approximations of the operator Lyapunov equation have low rank	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
Neumann-Neumann type domain decomposition of elliptic problems on metric graphs	1