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 2021-12-01 to 2025-12-01.)
ArticleCitations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods133
Editorial Board111
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality106
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems96
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators95
An efficient numerical method for the anisotropic phase field dendritic crystal growth model88
Nonlinear flexure mechanics of mixture unified gradient nanobeams81
Understanding fast adsorption in single-solute breakthrough curves81
Dynamical inquest of refuge and bubbling issues in an interacting species system79
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein–Gordon and Sine–Gordon problems76
SIR dynamics with infection age in complex heterogeneous networks68
A coevolution model of defensive medicine, litigation and medical malpractice insurance62
Nonintrusive model order reduction for cross-diffusion systems62
On critical double phase Choquard problems with singular nonlinearity56
A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results55
Structural and qualitative properties of a geometrically integrable equation55
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials55
Healthy versus congestive heart failure patients—An approach via the Hurst parameter55
New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model54
Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy51
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid49
Stabilization and destabilization of fractional oscillators via a delayed feedback control49
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source46
Exponentially fitted methods that preserve conservation laws44
43
Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media43
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme42
Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: Application to eddy current testing42
Regularity and strong convergence of numerical approximations for stochastic wave equations with multiplicative fractional Brownian motions42
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces42
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations41
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load40
Tunable subdiffusion in the Caputo fractional standard map40
Mode-matching technique for analyzing scattering in elastic shell chambers: Applications in trifurcated waveguide systems40
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron40
A representation-theoretical approach to higher-dimensional Lie–Hamilton systems: The symplectic Lie algebra 40
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application39
Periodic measures for the stochastic delay modified Swift–Hohenberg lattice systems39
A discussion on nonlocality: From fractional derivative model to peridynamic model39
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