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 2021-04-01 to 2025-04-01.)

Article	Citations
Exact dimension reduction for rough differential equations	50
Error analysis for the implicit boundary integral method	32
Matrix-less spectral approximation for large structured matrices	23
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	19
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	17
Stochastic iterative methods for online rank aggregation from pairwise comparisons	15
Comparison theorems for splittings of M-matrices in (block) Hessenberg form	10
Divergence-free cut finite element methods for Stokes flow	10
A systematic approach to reduced GLT	10
On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation	9
Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations	9
Symmetric-conjugate splitting methods for linear unitary problems	9
Rational Krylov methods for fractional diffusion problems on graphs	8
On the stability of unevenly spaced samples for interpolation and quadrature	8
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	7
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds	7
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	7
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	7
Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	6
Correction to: a dimension expanded preconditioning technique for saddle point problems	6
Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems	6
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	6
A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations	6
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	6
Randomized Kaczmarz for tensor linear systems	6

High order approximations of the operator Lyapunov equation have low rank	6
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	5
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Correction to: “How and how not to check Gaussian quadrature formulae”	5
Computation of the unit in the first place (ufp) and the unit in the last place (ulp) in precision-p base $$\beta $$	5
A posteriori error analysis for Schwarz overlapping domain decomposition methods	5
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	5
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	5
On the quadrature exactness in hyperinterpolation	5
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	4
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port-Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian	4
A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems	4
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	4
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	4
Convergence of Lobatto-type Runge–Kutta methods for partitioned differential-algebraic systems of index 2	4
Correction to: Inexact rational Krylov method for evolution equations	4
Perturbation bounds for stable gyroscopic systems	4
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	4
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	4
Block diagonal Calderón preconditioning for scattering at multi-screens	3
On a quality measure for interval inclusions	3
Hybrid CUR-type decomposition of tensors in the Tucker format	3
Highly localized RBF Lagrange functions for finite difference methods on spheres	3
Numerical differentiation on scattered data through multivariate polynomial interpolation	3
The Fekete problem in segmental polynomial interpolation	3
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	3
Low-rank multi-parametric covariance identification	3
An efficient adaptive multigrid method for the elasticity eigenvalue problem	3
A hierarchically low-rank optimal transport dissimilarity measure for structured data	3
Band-times-circulant preconditioners for non-symmetric Toeplitz systems	3
Convergence rates for random feature neural network approximation in molecular dynamics	3
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	3
A generalized Fourier–Hermite method for the Vlasov–Poisson system	3
Dynamical low-rank integrators for second-order matrix differential equations	3
A rank-adaptive robust integrator for dynamical low-rank approximation	3
Parallel line identification for line-implicit-solvers	3
Block implicit methods with L-stability for parabolic problems	3
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials	2
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	2
Newton interpolation using $$\Re $$-Leja sequences	2
An efficient hybrid method for uncertainty quantification	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
Error estimation for the time to a threshold value in evolutionary partial differential equations	2
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations	2

On the stability radius for linear time-delay systems	2
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation	2
Model order reduction of layered waveguides via rational Krylov fitting	2
Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods	2
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation	2
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems	2
Incremental algorithms for truncated higher-order singular value decompositions	2
Order theory for discrete gradient methods	2
Power boundedness in the maximum norm of stability matrices for ADI methods	2
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	2
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation	2
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Resolving entropy growth from iterative methods	1
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	1
Accurate Horner methods in real and complex floating-point arithmetic	1
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	1
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems	1
On Kosloff Tal-Ezer least-squares quadrature formulas	1
Higher strong order methods for linear Itô SDEs on matrix Lie groups	1
New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation	1
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices	1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
A dimension expanded preconditioning technique for saddle point problems	1
Gaussian rule for integrals involving Bessel functions	1
Multilevel Monte Carlo using approximate distributions of the CIR process	1
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	1
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	1
Solving large linear least squares problems with linear equality constraints	1
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	1
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractional Brownian motion	1
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	1
Stabilised finite element method for Stokes problem with nonlinear slip condition	1
Homogeneous multigrid for embedded discontinuous Galerkin methods	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	1
Fast floating-point filters for robust predicates	1
Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces	1
Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model	1
From low-rank retractions to dynamical low-rank approximation and back	1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
Weak convergence of tamed exponential integrators for stochastic differential equations	1
Stabilization of a matrix via a low-rank-adaptive ODE	1