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 2021-08-01 to 2025-08-01.)

Article	Citations
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	127
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	108
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	107
Stabilization and destabilization of fractional oscillators via a delayed feedback control	97
Topological features of multivariate distributions: Dependency on the covariance matrix	87
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	86
A generalized penalty method for a new class of differential inequality system	85
A coevolution model of defensive medicine, litigation and medical malpractice insurance	78
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	76
Persistence of return distribution sequence in financial markets	76
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	72
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	69
Editorial Board	66
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	61
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	59
A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation	57
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	54
Coupled crash mechanics and biomechanics of aircraft structures and passengers	54
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	53
SIR dynamics with infection age in complex heterogeneous networks	53
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	53
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	52
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme	52
Stability and error analysis of the SAV schemes for the inductionless MHD equations	52
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	50

Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	49
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	48
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces	47
The impact of different strategy update mechanisms on information dissemination under hyper network vision	46
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.	46
Exponentially fitted methods that preserve conservation laws	43
A discussion on nonlocality: From fractional derivative model to peridynamic model	42
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach	42
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source	42
Tunable subdiffusion in the Caputo fractional standard map	41
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order	40
Dynamical inquest of refuge and bubbling issues in an interacting species system	40
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	38
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	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
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	38
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations	38