Convergence, consistency and zero stability of impulsive one-step numerical methods

DOI10.1016/j.amc.2022.127017OpenAlexW4213434765MaRDI QIDQ2113734

Gui-Lai Zhang

Publication date: 14 March 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127017

zbMATH Keywords

convergenceconsistencyzero stabilityimpulsive Runge-Kutta method

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) General theory for ordinary differential equations (34Axx)

Cites Work

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• Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems
• Asymptotical stability of numerical methods for semi-linear impulsive differential equations
• Linear multistep methods for impulsive delay differential equations
• Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations
• Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• hp-Legendre–Gauss collocation method for impulsive differential equations

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