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 2022-06-01 to 2026-06-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	19
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	16
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	14
On the quadrature exactness in hyperinterpolation	13
Parallel line identification for line-implicit-solvers	12
The Fekete problem in segmental polynomial interpolation	12
Optimal error estimates of the diffuse domain method for second order parabolic equations	11
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
Barycentric interpolation formulas for the sphere and the disk	11
Hybrid Nitsche method for distributed computing	10
Low regularity integrators for semilinear parabolic equations with maximum bound principles	10
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	10
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
Spectral equivalence of unsymmetric kernel matrices and applications	9
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	9
Quadrature processes for efficient calculation of the Clausen functions	8
An explicit spectral decomposition of the ADRT	8
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
The variable two-step BDF method for parabolic equations	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
Solutions of differential equations using fractal multiquadric RBF networks	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	6
A unified immersed finite element error analysis for one-dimensional interface problems	6

Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	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
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
Polynomial approximation from diffused data: unisolvence and stability	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Perturbation bounds for stable gyroscopic systems	5
Semi-explicit integration of second order for weakly coupled poroelasticity	5
Exact dimension reduction for rough differential equations	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	4
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
Knot insertion and binary subdivision of splines	4
On the B-series composition theorem	4
Gaussian rule for integrals involving Bessel functions	3
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	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
Convergence analysis of two-level methods with general coarse solvers	3
Accurate Horner methods in real and complex floating-point arithmetic	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Construction of optimal algorithms for function approximation in Gaussian Sobolev spaces	3
Block implicit methods with L-stability for parabolic problems	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	3
From low-rank retractions to dynamical low-rank approximation and back	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
On some orthogonalization schemes in Tensor Train format	3
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
A novel class of bivariate $$\alpha $$-fractal functions and their fractional integrals	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
Gradients of quotients and eigenvalue problems	2
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	2

Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	2
Randomized Kaczmarz algorithm with averaging and block projection	2
Adaptive Modified Weak Galerkin Method for Obstacle Problem	2
On spectral properties and fast initial convergence of the Kaczmarz method	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Robust bounds for Krylov methods revisited	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
From eigenvector nonlinearities with quadratic structure to eigenvalue nonlinearities with algebraic structure	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
Stabilization of a matrix via a low-rank-adaptive ODE	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Fast floating-point filters for robust predicates	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
Effective grading refinement for locally linearly independent LR B-splines	2
Block conjugate gradient methods with error norm estimates for least squares problems	2
Weak convergence rate of positivity-preserving truncated Euler–Maruyama method for multi-dimensional stochastic differential equations with positive solutions	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
A Riemannian gradient descent method for the least squares inverse eigenvalue problem	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
On the stability of two-derivative time discretizations	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
Approximating maps into manifolds with lower curvature bounds	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
Well-posedness and finite element approximation of mixed dimensional partial differential equations	1
Application of randomized quadrature formulas to the finite element method for elliptic equations	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Error analysis for the implicit boundary integral method	1
Quadratic weighted histopolation on tetrahedral meshes with probabilistic degrees of freedom	1
A class of two-scale mixed finite element discretizations for the Stokes problem	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Discrete Poincaré and trace inequalities for the hybridizable discontinuous Galerkin method	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Divergence-free cut finite element methods for Stokes flow	1
Optimal mean square E-stability of some balanced midpoint Milstein methods for stochastic differential equations in $$\mathbb {C}^1$$	1
A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
An NPDo approach for principal joint block diagonalization	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
Low-rank Regularized convex-non-convex problems for image segmentation and completion	1
On a large-stepsize integrator for charged-particle dynamics	1
Geometric means of quasi-Toeplitz matrices	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
A fast randomized algorithm for computing an approximate null space	1
Solving large linear least squares problems with linear equality constraints	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Resolving entropy growth from iterative methods	1