Communications in Nonlinear Science and Numerical Simulation

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 2021-11-01 to 2025-11-01.)
ArticleCitations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods132
Extremization to fine tune physics informed neural networks for solving boundary value problems111
Editorial Board105
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality96
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems94
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger88
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators80
Persistence of return distribution sequence in financial markets80
Nonlinear flexure mechanics of mixture unified gradient nanobeams79
Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation78
An efficient numerical method for the anisotropic phase field dendritic crystal growth model76
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems68
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs62
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation62
Topological features of multivariate distributions: Dependency on the covariance matrix56
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron55
A discussion on nonlocality: From fractional derivative model to peridynamic model55
Numerical study of the ternary Cahn–Hilliard fluids by using an efficient modified scalar auxiliary variable approach55
Understanding fast adsorption in single-solute breakthrough curves54
Dynamical inquest of refuge and bubbling issues in an interacting species system53
Stability and error analysis of the SAV schemes for the inductionless MHD equations52
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems50
A coevolution model of defensive medicine, litigation and medical malpractice insurance49
SIR dynamics with infection age in complex heterogeneous networks49
Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply44
On critical double phase Choquard problems with singular nonlinearity43
Nonintrusive model order reduction for cross-diffusion systems43
Structural and qualitative properties of a geometrically integrable equation42
Healthy versus congestive heart failure patients—An approach via the Hurst parameter41
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials41
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing41
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy40
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results40
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application40
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses40
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model40
Comparison of pandemic intervention policies in several building types using heterogeneous population model39
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid39
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics39
Stabilization and destabilization of fractional oscillators via a delayed feedback control39
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