OOIR: Observatory of International Research

Papers

(The TQCC of BIT Numerical Mathematics is 3. 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
On the stability of unevenly spaced samples for interpolation and quadrature	8
Rational Krylov methods for fractional diffusion problems on graphs	8
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	7
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
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
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
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
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
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	4
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
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
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