OOIR: Observatory of International Research

Papers

(The TQCC of BIT Numerical Mathematics is 3. 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
Block boundary value methods for linear weakly singular Volterra integro-differential equations	10
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
Runge–Kutta Lawson schemes for stochastic differential equations	8
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
Accurate discretization of poroelasticity without Darcy stability	7
Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian	7
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
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
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
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
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
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
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
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