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 2021-06-01 to 2025-06-01.)

Article	Citations
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs	122
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy	105
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials	104
Stabilization and destabilization of fractional oscillators via a delayed feedback control	86
Topological features of multivariate distributions: Dependency on the covariance matrix	85
An efficient numerical method for the anisotropic phase field dendritic crystal growth model	80
Exponentially fitted methods that preserve conservation laws	80
A coevolution model of defensive medicine, litigation and medical malpractice insurance	75
A generalized penalty method for a new class of differential inequality system	75
Persistence of return distribution sequence in financial markets	74
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply	70
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period	67
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model	64
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid	58
Tunable subdiffusion in the Caputo fractional standard map	57
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality	55
Editorial Board	55
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems	52
A discussion on nonlocality: From fractional derivative model to peridynamic model	52
Coupled crash mechanics and biomechanics of aircraft structures and passengers	52
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results	49
SIR dynamics with infection age in complex heterogeneous networks	49
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation	48
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application	47
Stability and error analysis of the SAV schemes for the inductionless MHD equations	47

Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing	46
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media	46
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions	45
A numerical study of N-periodic wave solutions to four integrable eq	43
Dynamical inquest of refuge and bubbling issues in an interacting species system	43
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra	43
Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation	42
Particle-based numerical modeling of a thin granular layer subjected to oscillating flow	42
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations	42
Healthy versus congestive heart failure patients—An approach via the Hurst parameter	41
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics	41
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems	40
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses	40
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators	40
Nonintrusive model order reduction for cross-diffusion systems	39
Extremization to fine tune physics informed neural networks for solving boundary value problems	39