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 2021-03-01 to 2025-03-01.)

Article	Citations
Error analysis for the implicit boundary integral method	48
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	29
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	21
Stochastic iterative methods for online rank aggregation from pairwise comparisons	18
Divergence-free cut finite element methods for Stokes flow	17
Matrix-less spectral approximation for large structured matrices	15
Block boundary value methods for linear weakly singular Volterra integro-differential equations	10
A systematic approach to reduced GLT	10
Comparison theorems for splittings of M-matrices in (block) Hessenberg form	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
Accurate discretization of poroelasticity without Darcy stability	8
Quotient-space boundary element methods for scattering at complex screens	8
Variational time discretizations of higher order and higher regularity	8
Randomized Kaczmarz for tensor linear systems	7
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	7
Rational Krylov methods for fractional diffusion problems on graphs	7
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	7
On the stability of unevenly spaced samples for interpolation and quadrature	7
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	6
A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations	6
Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems	6
Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals	6
Golub–Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems	6

Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	6
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds	6
Exact dimension reduction for rough differential equations	6
High order approximations of the operator Lyapunov equation have low rank	6
Correction to: a dimension expanded preconditioning technique for saddle point problems	5
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	5
On the quadrature exactness in hyperinterpolation	5
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	5
A posteriori error analysis for Schwarz overlapping domain decomposition methods	5
Highly localized RBF Lagrange functions for finite difference methods on spheres	5
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	5
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	5
A rank-adaptive robust integrator for dynamical low-rank approximation	5
Computation of the unit in the first place (ufp) and the unit in the last place (ulp) in precision-p base $$\beta $$	5
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Low-rank multi-parametric covariance identification	4
A numerical study of variational discretizations of the Camassa–Holm equation	4
Numerical differentiation on scattered data through multivariate polynomial interpolation	4
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	4
A hierarchically low-rank optimal transport dissimilarity measure for structured data	4
Perturbation bounds for stable gyroscopic systems	4
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Block diagonal Calderón preconditioning for scattering at multi-screens	4
A generalized Fourier–Hermite method for the Vlasov–Poisson system	4
Hybrid CUR-type decomposition of tensors in the Tucker format	4
A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems	4
Error estimation for the time to a threshold value in evolutionary partial differential equations	3
Correction to: “How and how not to check Gaussian quadrature formulae”	3
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	3
An efficient adaptive multigrid method for the elasticity eigenvalue problem	3
Convergence of Lobatto-type Runge–Kutta methods for partitioned differential-algebraic systems of index 2	3
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation	3
Dynamical low-rank integrators for second-order matrix differential equations	3
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	3
Correction to: Inexact rational Krylov method for evolution equations	3
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	3
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	3
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems	3
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization	3
On a quality measure for interval inclusions	3
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	3
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	3
Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	3
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation	2
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Power boundedness in the maximum norm of stability matrices for ADI methods	2

Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	2
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality	2
Accurate Horner methods in real and complex floating-point arithmetic	2
On the stability radius for linear time-delay systems	2
Gaussian rule for integrals involving Bessel functions	2
DNT preconditioner for one-sided space fractional diffusion equations	2
An efficient hybrid method for uncertainty quantification	2
Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces	2
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	2
Incremental algorithms for truncated higher-order singular value decompositions	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Order theory for discrete gradient methods	2
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials	2
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
The Fekete problem in segmental polynomial interpolation	2
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems	2
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations	2
Towards stability results for global radial basis function based quadrature formulas	1
Runge–Kutta Lawson schemes for stochastic differential equations	1
Resolving entropy growth from iterative methods	1
Solving large linear least squares problems with linear equality constraints	1
Block implicit methods with L-stability for parabolic problems	1
Band-times-circulant preconditioners for non-symmetric Toeplitz systems	1
Fast floating-point filters for robust predicates	1
On Kosloff Tal-Ezer least-squares quadrature formulas	1
Model order reduction of layered waveguides via rational Krylov fitting	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
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems	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
Weak convergence of tamed exponential integrators for stochastic differential equations	1
Higher strong order methods for linear Itô SDEs on matrix Lie groups	1
Convergence rates for random feature neural network approximation in molecular dynamics	1
Parallel line identification for line-implicit-solvers	1
Multilevel Monte Carlo using approximate distributions of the CIR process	1
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	1
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients	1
New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation	1
Stabilization of a matrix via a low-rank-adaptive ODE	1
Low regularity integrators for semilinear parabolic equations with maximum bound principles	1
A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems	1
Homogeneous multigrid for embedded discontinuous Galerkin methods	1
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
From low-rank retractions to dynamical low-rank approximation and back	1
Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods	1
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation	1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	1
Newton interpolation using $$\Re $$-Leja sequences	1
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	1
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	1
Correction to: Higher strong order methods for linear Itô SDEs on matrix Lie groups	1