OOIR: Observatory of International Research

Papers

(The H4-Index of Communications in Nonlinear Science and Numerical Simulation is 39. 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 2022-08-01 to 2026-08-01.)

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	118
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	92
Understanding fast adsorption in single-solute breakthrough curves	87
SIR dynamics with infection age in complex heterogeneous networks	80
A coevolution model of defensive medicine, litigation and medical malpractice insurance	76
Nonintrusive model order reduction for cross-diffusion systems	67
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	66
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	64
	63
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	61
Nonlinear flexure mechanics of mixture unified gradient nanobeams	57
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	57
Energy-based, geometric, and compositional formulation of fluid and plasma models	56
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue	53
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	52
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	52
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems	52
On critical double phase Choquard problems with singular nonlinearity	51
Extremization to fine tune physics informed neural networks for solving boundary value problems	50
Adaptive noise control for almost sure exponential stability of stochastic coupled jump diffusion systems	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
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	47
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	46
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	46

New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model	45
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	45
Unconditionally optimal error analysis of a two-grid FEM for semilinear reaction-subdiffusion problems with a weak initial singularity	45
On topology of carrying manifolds of regular homeomorphisms	44
Fixed-time sliding mode control for nonlinear systems with input saturation via time-delay sliding surface	43
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	43
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	43
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations	43
Relaxed explicit-Scalar Auxiliary Variable (R-Explicit-SAV) method for hydrodynamically-coupled phase-field crystal model	43
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron	42
A generalized penalty method for a new class of differential inequality system	41
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	41
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	40
Infinitely many solutions for Kirchhoff-type Schrödinger-Poisson systems involving the discrete fractional Laplacian	40
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	39
A discussion on nonlocality: From fractional derivative model to peridynamic model	39
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger	39
Stability and error analysis of the SAV schemes for the inductionless MHD equations	39
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt	39
Intermittent fixed-time stability analysis for nonlinear systems and application to synchronization in spatiotemporal networks	39