Communications in Nonlinear Science and Numerical Simulation

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 2021-09-01 to 2025-09-01.)
ArticleCitations
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs130
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials108
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy108
Stabilization and destabilization of fractional oscillators via a delayed feedback control100
An efficient numerical method for the anisotropic phase field dendritic crystal growth model89
A generalized penalty method for a new class of differential inequality system87
A coevolution model of defensive medicine, litigation and medical malpractice insurance86
Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model78
Persistence of return distribution sequence in financial markets78
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid76
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality74
Editorial Board74
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems68
Coupled crash mechanics and biomechanics of aircraft structures and passengers61
Dynamics and profiles of a degenerated reaction–diffusion host-pathogen model with apparent and inapparent infection period57
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source54
Exponentially fitted methods that preserve conservation laws54
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces54
Tunable subdiffusion in the Caputo fractional standard map53
SIR dynamics with infection age in complex heterogeneous networks53
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation52
Stability and error analysis of the SAV schemes for the inductionless MHD equations51
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme50
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing49
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions46
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations46
Dynamical inquest of refuge and bubbling issues in an interacting species system44
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations44
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media42
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order42
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics41
Healthy versus congestive heart failure patients—An approach via the Hurst parameter41
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators40
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems40
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model39
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems39
Nonintrusive model order reduction for cross-diffusion systems39
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load39
Structural and qualitative properties of a geometrically integrable equation38
Understanding fast adsorption in single-solute breakthrough curves38
On critical double phase Choquard problems with singular nonlinearity38
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