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 2022-08-01 to 2026-08-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	23
Splitting schemes for ODEs with goal–oriented error estimation	18
On the quadrature exactness in hyperinterpolation	14
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	14
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	13
Optimal error estimates of the diffuse domain method for second order parabolic equations	13
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning	13
The Fekete problem in segmental polynomial interpolation	12
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	12
Barycentric interpolation formulas for the sphere and the disk	11
Parallel line identification for line-implicit-solvers	11
Hybrid Nitsche method for distributed computing	10
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	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
Spectral equivalence of unsymmetric kernel matrices and applications	9
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
An explicit spectral decomposition of the ADRT	9
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
A concentration-preserving discontinuous Galerkin method for multi-component preparative chromatography	8
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	8
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	7
Quadrature processes for efficient calculation of the Clausen functions	7
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	7

Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	6
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Solutions of differential equations using fractal multiquadric RBF networks	6
The variable two-step BDF method for parabolic equations	6
Small time chaos approximations for heat kernels of multidimensional diffusions	6
Paige’s Algorithm for solving a class of tensor least squares problem	5
A unified immersed finite element error analysis for one-dimensional interface problems	5
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	5
A variational framework for the complexity of PDE solutions	5
Exact dimension reduction for rough differential equations	5
A priori error estimates of a fictitious domain formulation of the Newtonian cooling problem	5
Subset selection for matrices in spectral norm	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Polynomial approximation from diffused data: unisolvence and stability	4
On the B-series composition theorem	4
An efficient adaptive multigrid method for the elasticity eigenvalue problem	4
Block implicit methods with L-stability for parabolic problems	4
Perturbation bounds for stable gyroscopic systems	4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	4
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	4
Accurate Horner methods in real and complex floating-point arithmetic	4
Knot insertion and binary subdivision of splines	4
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	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
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Convergence analysis of two-level methods with general coarse solvers	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Block conjugate gradient methods with error norm estimates for least squares problems	3
The generalized matrix separation problem: algorithms	3
Gaussian rule for integrals involving Bessel functions	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
From low-rank retractions to dynamical low-rank approximation and back	3
On some orthogonalization schemes in Tensor Train format	3
Weak convergence of tamed exponential integrators for stochastic differential equations	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
Stabilizing the singularity swap quadrature for near-singular line integrals	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Construction of optimal algorithms for function approximation in Gaussian Sobolev spaces	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
From eigenvector nonlinearities with quadratic structure to eigenvalue nonlinearities with algebraic structure	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2

On spectral properties and fast initial convergence of the Kaczmarz method	2
Fast floating-point filters for robust predicates	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
Stability of the active flux method in the framework of summation-by-parts operators	2
Robust bounds for Krylov methods revisited	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
2N-storage Runge-Kutta methods: Order conditions, general properties and some analytic solutions	2
A novel class of bivariate $$\alpha $$-fractal functions and their fractional integrals	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Adaptive Modified Weak Galerkin Method for Obstacle Problem	2
Gradients of quotients and eigenvalue problems	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Weak convergence rate of positivity-preserving truncated Euler–Maruyama method for multi-dimensional stochastic differential equations with positive solutions	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Discrete Poincaré and trace inequalities for the hybridizable discontinuous Galerkin method	1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	1
Stabilization of a matrix via a low-rank-adaptive ODE	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Divergence-free cut finite element methods for Stokes flow	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Randomized Kaczmarz algorithm with averaging and block projection	1
Quadratic weighted histopolation on tetrahedral meshes with probabilistic degrees of freedom	1
On a large-stepsize integrator for charged-particle dynamics	1
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
An NPDo approach for principal joint block diagonalization	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
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
A class of two-scale mixed finite element discretizations for the Stokes problem	1
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
Geometric means of quasi-Toeplitz matrices	1
Error analysis for the implicit boundary integral method	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
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
A fast randomized algorithm for computing an approximate null space	1
A stiff order condition theory for Runge–Kutta methods applied to semilinear ODEs	1
On the stability of two-derivative time discretizations	1