OOIR: Observatory of International Research

Papers

(The TQCC of BIT Numerical Mathematics is 4. 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
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
Block boundary value methods for linear weakly singular Volterra integro-differential equations	10
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
Efficient exponential Runge–Kutta methods of high order: construction and implementation	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
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
Adjoint-based exact Hessian computation	5
Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation	5
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
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