BIT Numerical Mathematics

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 2021-03-01 to 2025-03-01.)
ArticleCitations
Error analysis for the implicit boundary integral method48
Analysis of eigenvalue condition numbers for a class of randomized numerical methods for singular matrix pencils29
Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov–Maxwell equations21
Stochastic iterative methods for online rank aggregation from pairwise comparisons18
Divergence-free cut finite element methods for Stokes flow17
Matrix-less spectral approximation for large structured matrices15
A systematic approach to reduced GLT10
Comparison theorems for splittings of M-matrices in (block) Hessenberg form10
Block boundary value methods for linear weakly singular Volterra integro-differential equations10
Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations9
Symmetric-conjugate splitting methods for linear unitary problems9
On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation9
Quotient-space boundary element methods for scattering at complex screens8
Variational time discretizations of higher order and higher regularity8
Accurate discretization of poroelasticity without Darcy stability8
Rational Krylov methods for fractional diffusion problems on graphs7
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter7
On the stability of unevenly spaced samples for interpolation and quadrature7
Randomized Kaczmarz for tensor linear systems7
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery7
A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations6
Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems6
Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals6
Golub–Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems6
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes6
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds6
Exact dimension reduction for rough differential equations6
High order approximations of the operator Lyapunov equation have low rank6
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem6
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations5
On the quadrature exactness in hyperinterpolation5
Linearly convergent nonoverlapping domain decomposition methods for quasilinear parabolic equations5
A posteriori error analysis for Schwarz overlapping domain decomposition methods5
Highly localized RBF Lagrange functions for finite difference methods on spheres5
A flexible short recurrence Krylov subspace method for matrices arising in the time integration of port-Hamiltonian systems and ODEs/DAEs with a dissipative Hamiltonian5
On the convergence of generalized kernel-based interpolation by greedy data selection algorithms5
A rank-adaptive robust integrator for dynamical low-rank approximation5
Computation of the unit in the first place (ufp) and the unit in the last place (ulp) in precision-p base $$\beta $$5
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries5
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems5
Correction to: a dimension expanded preconditioning technique for saddle point problems5
A hierarchically low-rank optimal transport dissimilarity measure for structured data4
Perturbation bounds for stable gyroscopic systems4
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series4
An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels4
Block diagonal Calderón preconditioning for scattering at multi-screens4
A generalized Fourier–Hermite method for the Vlasov–Poisson system4
Hybrid CUR-type decomposition of tensors in the Tucker format4
A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems4
Low-rank multi-parametric covariance identification4
A numerical study of variational discretizations of the Camassa–Holm equation4
Numerical differentiation on scattered data through multivariate polynomial interpolation4
Pressure-robust approximation of the incompressible Navier–Stokes equations in a rotating frame of reference4
Correction to: “How and how not to check Gaussian quadrature formulae”3
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes3
An efficient adaptive multigrid method for the elasticity eigenvalue problem3
Convergence of Lobatto-type Runge–Kutta methods for partitioned differential-algebraic systems of index 23
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation3
Dynamical low-rank integrators for second-order matrix differential equations3
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds3
Correction to: Inexact rational Krylov method for evolution equations3
Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods3
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment3
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems3
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization3
On a quality measure for interval inclusions3
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations3
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems3
Efficient numerical methods of integrals with products of two Bessel functions and their error analysis3
Error estimation for the time to a threshold value in evolutionary partial differential equations3
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems2
On the stability radius for linear time-delay systems2
Gaussian rule for integrals involving Bessel functions2
DNT preconditioner for one-sided space fractional diffusion equations2
An efficient hybrid method for uncertainty quantification2
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual2
Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data2
Power boundedness in the maximum norm of stability matrices for ADI methods2
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality2
Order theory for discrete gradient methods2
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials2
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems2
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions2
The Fekete problem in segmental polynomial interpolation2
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations2
Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces2
Incremental algorithms for truncated higher-order singular value decompositions2
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary2
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation2
Substructuring the Hiptmair-Xu preconditioner for positive definite $$\textbf{H}(\varvec{curl},\Omega )$$ problems2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model2
Multilevel local defect-correction method for the non-selfadjoint Steklov eigenvalue problems2
Accurate Horner methods in real and complex floating-point arithmetic2
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations1
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators1
Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods1
From low-rank retractions to dynamical low-rank approximation and back1
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality1
Newton interpolation using $$\Re $$-Leja sequences1
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise1
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions1
Correction to: Higher strong order methods for linear Itô SDEs on matrix Lie groups1
Towards stability results for global radial basis function based quadrature formulas1
Runge–Kutta Lawson schemes for stochastic differential equations1
Resolving entropy growth from iterative methods1
Block implicit methods with L-stability for parabolic problems1
Solving large linear least squares problems with linear equality constraints1
Band-times-circulant preconditioners for non-symmetric Toeplitz systems1
Fast floating-point filters for robust predicates1
On Kosloff Tal-Ezer least-squares quadrature formulas1
Model order reduction of layered waveguides via rational Krylov fitting1
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractional Brownian motion1
Learning the flux and diffusion function for degenerate convection-diffusion equations using different types of observations1
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations1
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems1
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations1
Weak convergence of tamed exponential integrators for stochastic differential equations1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data1
Convergence rates for random feature neural network approximation in molecular dynamics1
Higher strong order methods for linear Itô SDEs on matrix Lie groups1
Parallel line identification for line-implicit-solvers1
Multilevel Monte Carlo using approximate distributions of the CIR process1
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift1
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients1
New structure-preserving mixed finite element method for the stationary MHD equations with magnetic-current formulation1
Stabilization of a matrix via a low-rank-adaptive ODE1
Low regularity integrators for semilinear parabolic equations with maximum bound principles1
A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems1
Homogeneous multigrid for embedded discontinuous Galerkin methods1
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