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 2022-05-01 to 2026-05-01.)

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	17
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	16
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	13
Parallel line identification for line-implicit-solvers	12
On the quadrature exactness in hyperinterpolation	12
Optimal error estimates of the diffuse domain method for second order parabolic equations	11
The Fekete problem in segmental polynomial interpolation	11
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	11
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems	11
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	10
Barycentric interpolation formulas for the sphere and the disk	10
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
Spectral equivalence of unsymmetric kernel matrices and applications	8
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	8
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	8
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Hybrid Nitsche method for distributed computing	8
Quadrature processes for efficient calculation of the Clausen functions	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
The variable two-step BDF method for parabolic equations	6

Paige’s Algorithm for solving a class of tensor least squares problem	6
Solutions of differential equations using fractal multiquadric RBF networks	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	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
A unified immersed finite element error analysis for one-dimensional interface problems	5
Hermite interpolation with retractions on manifolds	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Exact dimension reduction for rough differential equations	5
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	5
Semi-explicit integration of second order for weakly coupled poroelasticity	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
Approximation of the invariant measure for the stochastic Allen–Cahn equation via an explicit fully discrete scheme	5
On the Conjecture of Stability Preservation in Arbitrary-Order Adams-Bashforth-Type Integrators	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Perturbation bounds for stable gyroscopic systems	5
Block implicit methods with L-stability for parabolic problems	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
On the B-series composition theorem	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	4
Knot insertion and binary subdivision of splines	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	3
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
Convergence analysis of two-level methods with general coarse solvers	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Gaussian rule for integrals involving Bessel functions	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Padé-based nonlinear approximation of bivariate non-smooth functions	3
From low-rank retractions to dynamical low-rank approximation and back	3
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
Low-rank tensor structure preservation in fractional operators by means of exponential sums	2
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms	2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
Fast floating-point filters for robust predicates	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
A novel class of bivariate $$\alpha $$-fractal functions and their fractional integrals	2
Effective grading refinement for locally linearly independent LR B-splines	2
Construction of optimal algorithms for function approximation in Gaussian Sobolev spaces	2

Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
Robust bounds for Krylov methods revisited	2
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
Stabilization of a matrix via a low-rank-adaptive ODE	2
Gradients of quotients and eigenvalue problems	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
On spectral properties and fast initial convergence of the Kaczmarz method	2
Newton interpolation using $$\Re $$-Leja sequences	2
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	2
On some orthogonalization schemes in Tensor Train format	2
Block conjugate gradient methods with error norm estimates for least squares problems	2
Adaptive Modified Weak Galerkin Method for Obstacle Problem	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	2
Weak convergence rate of positivity-preserving truncated Euler–Maruyama method for multi-dimensional stochastic differential equations with positive solutions	2
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
From eigenvector nonlinearities with quadratic structure to eigenvalue nonlinearities with algebraic structure	2
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Resolving entropy growth from iterative methods	1
Application of randomized quadrature formulas to the finite element method for elliptic equations	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation	1
On the stability of two-derivative time discretizations	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Error analysis for the implicit boundary integral method	1
Geometric means of quasi-Toeplitz matrices	1
A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
An NPDo approach for principal joint block diagonalization	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
On a large-stepsize integrator for charged-particle dynamics	1
Discrete Poincaré and trace inequalities for the hybridizable discontinuous Galerkin method	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
Divergence-free cut finite element methods for Stokes flow	1
Solving large linear least squares problems with linear equality constraints	1
Approximating maps into manifolds with lower curvature bounds	1
Optimal mean square E-stability of some balanced midpoint Milstein methods for stochastic differential equations in $$\mathbb {C}^1$$	1
Model order reduction of layered waveguides via rational Krylov fitting	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
A fast randomized algorithm for computing an approximate null space	1
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
A class of two-scale mixed finite element discretizations for the Stokes problem	1
Randomized Kaczmarz algorithm with averaging and block projection	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1