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

Article	Citations
A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity	50
On the quadrature exactness in hyperinterpolation	22
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	13
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference	12
Parallel line identification for line-implicit-solvers	12
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
Order theory for discrete gradient methods	11
Barycentric interpolation formulas for the sphere and the disk	10
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	10
The Fekete problem in segmental polynomial interpolation	10
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	10
Second order energy stable semi-implicit schemes for the 2D Allen-Cahn equation	9
Low regularity integrators for semilinear parabolic equations with maximum bound principles	9
Detecting large definite Hermitian matrix pairs by $$\theta $$-subspace algorithms	9
Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales	8
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift	8
Discontinuous Galerkin discretization of conservative dynamical low-rank approximation schemes for the Vlasov–Poisson equation	7
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	7
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane	7
Small time chaos approximations for heat kernels of multidimensional diffusions	7
Solutions of differential equations using fractal multiquadric RBF networks	7
Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element	7
The variable two-step BDF method for parabolic equations	7
Randomised Euler-Maruyama method for SDEs with Hölder continuous drift coefficient	7

Analysis of direct piecewise polynomial collocation methods for the Bagley–Torvik equation	7
Quadrature processes for efficient calculation of the Clausen functions	7
Semi-explicit integration of second order for weakly coupled poroelasticity	6
Paige’s Algorithm for solving a class of tensor least squares problem	6
Hermite interpolation with retractions on manifolds	6
Monte Carlo integration of $$C^r$$ functions with adaptive variance reduction: an asymptotic analysis	6
A unified immersed finite element error analysis for one-dimensional interface problems	6
Solution of large linear discrete ill-posed problems by randomized block Krylov methods	6
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels	5
Exact dimension reduction for rough differential equations	5
On the B-series composition theorem	5
An efficient adaptive multigrid method for the elasticity eigenvalue problem	5
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems	5
Perturbation bounds for stable gyroscopic systems	5
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	5
Knot insertion and binary subdivision of splines	4
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers	4
Gaussian rule for integrals involving Bessel functions	4
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems	4
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	4
An accelerated Levin–Clenshaw–Curtis method for the evaluation of highly oscillatory integrals	4
Block implicit methods with L-stability for parabolic problems	4
Accurate Horner methods in real and complex floating-point arithmetic	4
From low-rank retractions to dynamical low-rank approximation and back	3
Higher strong order methods for linear Itô SDEs on matrix Lie groups	3
Effective grading refinement for locally linearly independent LR B-splines	3
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	3
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	3
On Kosloff Tal-Ezer least-squares quadrature formulas	3
Convergence analysis of two-level methods with general coarse solvers	3
Convergent semi-explicit scheme to a non-linear eikonal system	3
Efficient quaternion CUR decomposition based on discrete empirical interpolation method	3
Stage-local partitioned two-step runge-kutta methods for large systems of ordinary differential equations	3
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations	3
Weak convergence of tamed exponential integrators for stochastic differential equations	3
Low-rank tensor structure preservation in fractional operators by means of exponential sums	3
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods	2
Symmetric-conjugate splitting methods for linear unitary problems	2
Gradients of quotients and eigenvalue problems	2
Enhanced alternating energy minimization methods for stochastic galerkin matrix equations	2
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
Newton interpolation using $$\Re $$-Leja sequences	2
Fast floating-point filters for robust predicates	2
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations	2
Doubling the rate: improved error bounds for orthogonal projection with application to interpolation	2
On some orthogonalization schemes in Tensor Train format	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2

Adaptive Modified Weak Galerkin Method for Obstacle Problem	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
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	2
A trust-region approach for iteration solution of the direct fitting metric MDS	2
Block conjugate gradient methods with error norm estimates for least squares problems	2
Padé-based nonlinear approximation of bivariate non-smooth functions	2
On the stability of unevenly spaced samples for interpolation and quadrature	2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	2
Multilevel Monte Carlo using approximate distributions of the CIR process	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Stabilised finite element method for Stokes problem with nonlinear slip condition	1
Divergence-free cut finite element methods for Stokes flow	1
Super-localized orthogonal decomposition for convection-dominated diffusion problems	1
Well-posedness and finite element approximation of mixed dimensional partial differential equations	1
Product integration rules by the constrained mock-Chebyshev least squares operator	1
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	1
Solving large linear least squares problems with linear equality constraints	1
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations	1
A rank-adaptive robust integrator for dynamical low-rank approximation	1
Structured eigenvalue backward errors for rational matrix functions with symmetry structures	1
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations	1
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Correction: Efficient numerical methods of integrals with products of two Bessel functions and their error analysis	1
An optimal error bound for shiftedCholeskyQR3 in oblique inner product	1
On a large-stepsize integrator for charged-particle dynamics	1
Neumann-Neumann type domain decomposition of elliptic problems on metric graphs	1
Highly localized RBF Lagrange functions for finite difference methods on spheres	1
A stabilized Gauge-Uzawa discontinuous Galerkin method for the magneto-hydrodynamic equations	1
Approximating maps into manifolds with lower curvature bounds	1
Correction to: a dimension expanded preconditioning technique for saddle point problems	1
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes	1
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils	1
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	1
A fast randomized algorithm for computing an approximate null space	1
Correction to: “How and how not to check Gaussian quadrature formulae”	1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	1
Randomized Kaczmarz algorithm with averaging and block projection	1
Stabilization of a matrix via a low-rank-adaptive ODE	1
Geometric means of quasi-Toeplitz matrices	1
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	1
Convergence and stability of randomized implicit two-stage Runge–Kutta schemes	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Resolving entropy growth from iterative methods	1
Convergence of VW-cycle and WV-cycle multigrid methods	1
High order approximations of the operator Lyapunov equation have low rank	1
Model order reduction of layered waveguides via rational Krylov fitting	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Error analysis for the implicit boundary integral method	1
A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities	1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	1