OOIR: Observatory of International Research

Papers

(The H4-Index of Communications in Nonlinear Science and Numerical Simulation is 38. 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 2022-06-01 to 2026-06-01.)

Article	Citations
Editorial Board	138
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	116
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	89
Understanding fast adsorption in single-solute breakthrough curves	85
SIR dynamics with infection age in complex heterogeneous networks	81
A coevolution model of defensive medicine, litigation and medical malpractice insurance	80
Nonintrusive model order reduction for cross-diffusion systems	71
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	66
	64
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	64
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	62
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	62
Nonlinear flexure mechanics of mixture unified gradient nanobeams	60
Energy-based, geometric, and compositional formulation of fluid and plasma models	55
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	54
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	52
An accelerated preconditioned primal-dual gradient algorithm for structured nonconvex optimization problems	51
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	50
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	50
On critical double phase Choquard problems with singular nonlinearity	49
Tertiary, quaternary and higher order states in the sequence of bifurcations approach (SBA) to turbulence for laterally heated shear flows within a rectangular tube	49
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	49
Extremization to fine tune physics informed neural networks for solving boundary value problems	49
Finite-time sliding mode secure control with dynamic-memory event-triggered for semi-Markov jump systems subject to hybrid network attacks and general transition probabilities	47
Adaptive noise control for almost sure exponential stability of stochastic coupled jump diffusion systems	44

Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	43
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	43
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	43
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation	42
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	42
Multi-task learning enhanced deep neural networks for solving delay differential equations	42
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	42
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	41
On topology of carrying manifolds of regular homeomorphisms	41
Unconditionally optimal error analysis of a two-grid FEM for semilinear reaction-subdiffusion problems with a weak initial singularity	41
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations	40
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	40
Persistence of return distribution sequence in financial markets	39
Exponentially fitted methods that preserve conservation laws	38
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	38
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	38
Tunable subdiffusion in the Caputo fractional standard map	38