Communications in Nonlinear Science and Numerical Simulation

Papers
(The H4-Index of Communications in Nonlinear Science and Numerical Simulation is 37. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
A Brinkman–triple-porosity–permeability model and its discontinuous Galerkin methods134
Editorial Board108
Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality98
A novel computational approach to reconstructing evolutionary fitness in self-replicating systems96
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue82
The impact of different strategy update mechanisms on information dissemination under hyper network vision82
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators79
Understanding fast adsorption in single-solute breakthrough curves77
Finite element approximation of a Keller–Segel model with additional self- and cross-diffusion terms and a logistic source68
SIR dynamics with infection age in complex heterogeneous networks62
Exponentially fitted methods that preserve conservation laws62
A coevolution model of defensive medicine, litigation and medical malpractice insurance58
Nonintrusive model order reduction for cross-diffusion systems57
Stabilization and destabilization of fractional oscillators via a delayed feedback control56
Identification of discontinuous parameters in contaminant convection–reaction–diffusion model of recovered fracturing fluid56
Structural and qualitative properties of a geometrically integrable equation56
Nonlinear dynamics of the spacial vibration system considering the interactions between the frame and materials55
Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations54
Containment control of PDE-type T–S fuzzy multi-agent systems via event-triggered scheme50
49
Relaxed explicit-Scalar Auxiliary Variable (R-Explicit-SAV) method for hydrodynamically-coupled phase-field crystal model47
On triple-adaptive projection method for bilevel split variational inequalities with CFPP constraint of finite Bregman relatively demicontractions in Banach spaces44
Mathematical modeling to investigate the influence of vaccination and booster doses on the spread of Omicron44
Recent advances in a rigorous computation of Poincaré maps43
Tunable subdiffusion in the Caputo fractional standard map43
Dynamic analysis and performance evaluation of inerter fractional nonlinear quasi-zero stiffness isolator on a multi-span bridge under moving load43
Finite horizon optimal dividend and capital injection problem driven by a jump-diffusion process42
Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses42
Nonlinear flexure mechanics of mixture unified gradient nanobeams41
A modified third order WENO scheme based on Gaussian-RBF interpolation for Hamilton–Jacobi equations41
The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application40
Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation40
On topology of carrying manifolds of regular homeomorphisms40
Infinitely many solutions for Kirchhoff-type Schrödinger-Poisson systems involving the discrete fractional Laplacian40
Phase-field modeling and numerical computation for the hydrodynamics coupled diblock copolymer in complex geometries40
Fault-tolerant security control for switched systems via learning observer and DoS attacks40
Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger38
The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs37
A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order37
Observer normal form design for the nonlinear MIMO systems using coupled auxiliary dynamics37
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