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 2020-04-01 to 2024-04-01.)

Article	Citations
An unconventional robust integrator for dynamical low-rank approximation	27
Randomized Kaczmarz with averaging	25
A rank-adaptive robust integrator for dynamical low-rank approximation	14
Rational Krylov for Stieltjes matrix functions: convergence and pole selection	14
Embedded exponential-type low-regularity integrators for KdV equation under rough data	13
Randomized Kaczmarz for tensor linear systems	12
A systematic approach to reduced GLT	11
Block boundary value methods for linear weakly singular Volterra integro-differential equations	10
Inexact methods for the low rank solution to large scale Lyapunov equations	10
Semi-implicit Euler–Maruyama method for non-linear time-changed stochastic differential equations	10
Efficient exponential Runge–Kutta methods of high order: construction and implementation	9
Dirichlet–Neumann waveform relaxation methods for parabolic and hyperbolic problems in multiple subdomains	9
Symplectic dynamical low rank approximation of wave equations with random parameters	9
A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems	9
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping	9
On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem	8
An efficient second-order energy stable BDF scheme for the space fractional Cahn–Hilliard equation	8
Simple formula for integration of polynomials on a simplex	8
Abel’s integral operator: sparse representation based on multiwavelets	8
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes	8
A note on optimal $$H^1$$-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation	7
Runge–Kutta Lawson schemes for stochastic differential equations	7
Numerical stability of Grünwald–Letnikov method for time fractional delay differential equations	6
A higher order weak approximation of McKean–Vlasov type SDEs	6
Accurate discretization of poroelasticity without Darcy stability	6

An accurate integral equation method for Stokes flow with piecewise smooth boundaries	6
Variational time discretizations of higher order and higher regularity	6
Adjoint-based exact Hessian computation	5
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation	5
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems	5
Quotient-space boundary element methods for scattering at complex screens	5
Optimal quadratic element on rectangular grids for $$H^1$$ problems	5
Numerical conservative solutions of the Hunter–Saxton equation	5
Order theory for discrete gradient methods	5
Numerical differentiation on scattered data through multivariate polynomial interpolation	5
A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation	5
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics	5
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality	5
Rational Krylov methods for fractional diffusion problems on graphs	5
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations	4
Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals	4
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian	4
Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals	4
Efficient computation of oscillatory integrals by exponential transformations	4
Approximation of the matrix exponential for matrices with a skinny field of values	4
Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices	4
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems	4
Stability of implicit multiderivative deferred correction methods	4
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics	4
A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction–subdiffusion problems with a weak initial singularity	4
Palindromic linearization and numerical solution of nonsymmetric algebraic $$T$$-Riccati equations	4
Color image and video restoration using tensor CP decomposition	4
Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving	4
How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems	4
Low-rank Parareal: a low-rank parallel-in-time integrator	3
Automatic fidelity and regularization terms selection in variational image restoration	3
Product integration rules by the constrained mock-Chebyshev least squares operator	3
Positivity-preserving symplectic methods for the stochastic Lotka–Volterra predator-prey model	3
A numerical study of variational discretizations of the Camassa–Holm equation	3
AAA interpolation of equispaced data	3
Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation	3
Asymptotic preserving trigonometric integrators for the quantum Zakharov system	3
Efficient numerical approximation of a non-regular Fokker–Planck equation associated with first-passage time distributions	3
On the quadrature exactness in hyperinterpolation	3
Explicit stabilised gradient descent for faster strongly convex optimisation	3
A dimension expanded preconditioning technique for saddle point problems	3
Towards stability results for global radial basis function based quadrature formulas	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
A generalized Fourier–Hermite method for the Vlasov–Poisson system	2
Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems	2
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants	2
Verified inclusions for a nearest matrix of specified rank deficiency via a generalization of Wedin’s $$\sin (\theta )$$ theorem	2
Structured perturbation analysis for an infinite size quasi-Toeplitz matrix equation with applications	2

Correction to: Higher strong order methods for linear Itô SDEs on matrix Lie groups	2
Grid independent convergence using multilevel circulant preconditioning: Poisson’s equation	2
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	2
Error estimates of the backward Euler–Maruyama method for multi-valued stochastic differential equations	2
Nielson interpolation operators on an arbitrary triangle with one curved side	2
Using the Dafermos entropy rate criterion in numerical schemes	2
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations	2
A fully structured preconditioner for a class of complex symmetric indefinite linear systems	2
Low cardinality positive interior cubature on NURBS-shaped domains	2
Strong approximation of time-changed stochastic differential equations involving drifts with random and non-random integrators	2
Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin 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
Singular quadratic eigenvalue problems: linearization and weak condition numbers	2
Randomized block Krylov subspace methods for trace and log-determinant estimators	2
Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction	2
Higher strong order methods for linear Itô SDEs on matrix Lie groups	2
A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration	2
Strong convergence rates of an explicit scheme for stochastic Cahn–Hilliard equation with additive noise	1
DNT preconditioner for one-sided space fractional diffusion equations	1
Well-posedness and numerical schemes for one-dimensional McKean–Vlasov equations and interacting particle systems with discontinuous drift	1
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries	1
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package	1
Symmetric-conjugate splitting methods for linear unitary problems	1
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds	1
Low-rank tensor structure preservation in fractional operators by means of exponential sums	1
Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient	1
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients	1
$$L^p$$-convergence rate of backward Euler schemes for monotone SDEs	1
Homogeneous multigrid for embedded discontinuous Galerkin methods	1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality	1
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations	1
Newton interpolation using $$\Re $$-Leja sequences	1
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual	1
Error estimation and uncertainty quantification for first time to a threshold value	1
On optimal adaptive quadratures for automatic integration	1
Asymptotic preserving schemes for the FitzHugh–Nagumo transport equation with strong local interactions	1
Uniformly accurate splitting schemes for the Benjamin-Bona-Mahony equation with dispersive parameter	1
Effective grading refinement for locally linearly independent LR B-splines	1
Convergent semi-explicit scheme to a non-linear eikonal system	1
Solving large linear least squares problems with linear equality constraints	1
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data	1
Low regularity integrators for semilinear parabolic equations with maximum bound principles	1
On Kosloff Tal-Ezer least-squares quadrature formulas	1
An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation	1
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems	1
A new splitting algorithm for dynamical low-rank approximation motivated by the fibre bundle structure of matrix manifolds	1
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations	1
Dynamical low-rank integrators for second-order matrix differential equations	1
Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula	1
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery	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
An Hermite-Obreschkoff method for stiff high-index DAE	1
Multirate linearly-implicit GARK schemes	1
Backward Euler method for stochastic differential equations with non-Lipschitz coefficients driven by fractional Brownian motion	1
An energy-based discontinuous Galerkin method with tame CFL numbers for the wave equation	1
Positivity-preserving truncated Euler–Maruyama method for generalised Ait-Sahalia-type interest model	1