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 2020-11-01 to 2024-11-01.)

Article	Citations
An unconventional robust integrator for dynamical low-rank approximation	41
A rank-adaptive robust integrator for dynamical low-rank approximation	21
Randomized Kaczmarz for tensor linear systems	19
Embedded exponential-type low-regularity integrators for KdV equation under rough data	14
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	14
A systematic approach to reduced GLT	13
An efficient second-order energy stable BDF scheme for the space fractional Cahn–Hilliard equation	11
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems	10
Efficient exponential Runge–Kutta methods of high order: construction and implementation	10
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	10
Abel’s integral operator: sparse representation based on multiwavelets	10
Block boundary value methods for linear weakly singular Volterra integro-differential equations	10
AAA interpolation of equispaced data	8
A higher order weak approximation of McKean–Vlasov type SDEs	8
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	8
Runge–Kutta Lawson schemes for stochastic differential equations	8
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian	7
Accurate discretization of poroelasticity without Darcy stability	7
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation	6
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality	6
Variational time discretizations of higher order and higher regularity	6
Low-rank Parareal: a low-rank parallel-in-time integrator	6
Adjoint-based exact Hessian computation	6
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	6
Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving	6

Stability of implicit multiderivative deferred correction methods	6
Quotient-space boundary element methods for scattering at complex screens	6
Efficient computation of oscillatory integrals by exponential transformations	5
A dimension expanded preconditioning technique for saddle point problems	5
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems	5
Order theory for discrete gradient methods	5
Rational Krylov methods for fractional diffusion problems on graphs	5
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	5
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	5
Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods	5
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	5
Color image and video restoration using tensor CP decomposition	5
Numerical conservative solutions of the Hunter–Saxton equation	5
Product integration rules by the constrained mock-Chebyshev least squares operator	5
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation	5
Numerical differentiation on scattered data through multivariate polynomial interpolation	5
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	4
Low cardinality positive interior cubature on NURBS-shaped domains	4
Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model	4
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	4
Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals	4
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	4
A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction–subdiffusion problems with a weak initial singularity	4
On the quadrature exactness in hyperinterpolation	4
Towards stability results for global radial basis function based quadrature formulas	4
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices	4
Using the Dafermos entropy rate criterion in numerical schemes	3
Randomized block Krylov subspace methods for trace and log-determinant estimators	3
Effective grading refinement for locally linearly independent LR B-splines	3
From low-rank retractions to dynamical low-rank approximation and back	3
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	3
On a large-stepsize integrator for charged-particle dynamics	3
Automatic fidelity and regularization terms selection in variational image restoration	3
Singular quadratic eigenvalue problems: linearization and weak condition numbers	3
Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation	3
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations	3
A numerical study of variational discretizations of the Camassa–Holm equation	3
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems	3
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	3
Structured perturbation analysis for an infinite size quasi-Toeplitz matrix equation with applications	3
Solving large linear least squares problems with linear equality constraints	3
Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces	3
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series	3
Power boundedness in the maximum norm of stability matrices for ADI methods	2
An accelerated minimal gradient method with momentum for strictly convex quadratic optimization	2
Comparison theorems for splittings of M-matrices in (block) Hessenberg form	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2
Geometric means of quasi-Toeplitz matrices	2
Correction to: Higher strong order methods for linear Itô SDEs on matrix Lie groups	2
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators	2

Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	2
Hybrid CUR-type decomposition of tensors in the Tucker format	2
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds	2
Nielson interpolation operators on an arbitrary triangle with one curved side	2
Convergent semi-explicit scheme to a non-linear eikonal system	2
A fully structured preconditioner for a class of complex symmetric indefinite linear systems	2
Low regularity integrators for semilinear parabolic equations with maximum bound principles	2
A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration	2
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation	2
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	2
A generalized Fourier–Hermite method for the Vlasov–Poisson system	2
Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations	2
On optimal adaptive quadratures for automatic integration	2
Higher strong order methods for linear Itô SDEs on matrix Lie groups	2
Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction	2
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	2
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations	2
On Kosloff Tal-Ezer least-squares quadrature formulas	2
DNT preconditioner for one-sided space fractional diffusion equations	1
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems	1
Perturbation bounds for stable gyroscopic systems	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Deep neural networks on diffeomorphism groups for optimal shape reparametrization	1
Symmetric-conjugate splitting methods for linear unitary problems	1
Low-rank tensor structure preservation in fractional operators by means of exponential sums	1
An Hermite-Obreschkoff method for stiff high-index DAE	1
An energy-based discontinuous Galerkin method with tame CFL numbers for the wave equation	1
Resolving entropy growth from iterative methods	1
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients	1
Dynamical low-rank approximation of the Vlasov–Poisson equation with piecewise linear spatial boundary	1
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems	1
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	1
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations	1
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations	1
Asymptotic preserving schemes for the FitzHugh–Nagumo transport equation with strong local interactions	1
A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations	1
An hp-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem	1
Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient	1
Multirate linearly-implicit GARK schemes	1
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractional Brownian motion	1
Singularity swap quadrature for nearly singular line integrals on closed curves in two dimensions	1
A class of monotonicity-preserving variable-step discretizations for Volterra integral equations	1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	1
Newton interpolation using $$\Re $$-Leja sequences	1
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation	1
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	1
Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula	1
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	1
Uniformly accurate nested Picard integrators for a system of oscillatory ordinary differential equations	1
Golub–Kahan vs. Monte Carlo: a comparison of bidiagonlization and a randomized SVD method for the solution of linear discrete ill-posed problems	1
Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization	1
Bounded perturbations resilient iterative methods for linear systems and least squares problems: operator-based approaches, analysis, and performance evaluation	1
Homogeneous multigrid for embedded discontinuous Galerkin methods	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Gaussian rule for integrals involving Bessel functions	1