Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations
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Publication:990534
DOI10.1016/j.amc.2007.03.044zbMath1193.65121OpenAlexW2052500721MaRDI QIDQ990534
Hui Liang, Ming-Zhu Liu, Zhanwen Yang
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.044
Ordinary differential equations with impulses (34A37) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (22)
Convergence and stability of impulsive stochastic differential equations ⋮ Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations ⋮ Exponential stability of Euler-Maruyama solutions for impulsive stochastic differential equations with delay ⋮ Oscillation analysis of numerical solutions for nonlinear delay differential equations of hematopoiesis with unimodal production rate ⋮ Linear multistep methods for impulsive delay differential equations ⋮ Mean-square stability of analytic solution and Euler-Maruyama method for impulsive stochastic differential equations ⋮ Exponential stability of impulsive delay differential equations ⋮ Linear multistep methods for impulsive differential equations ⋮ Stability of the analytic and numerical solutions for impulsive 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 ⋮ Collocation methods for impulsive differential equations ⋮ Convergence and stability of Euler method for impulsive stochastic delay differential equations ⋮ Asymptotic stability of a class of impulsive delay differential equations ⋮ hp-Legendre–Gauss collocation method for impulsive differential equations ⋮ The Euler scheme and its convergence for impulsive delay differential equations ⋮ The analytic and numerical stability of stiff impulsive differential equations in Banach space ⋮ Analytic and numerical stability of delay differential equations with variable impulses ⋮ Asymptotical stability of Runge-Kutta for a class of impulsive differential equations ⋮ Asymptotical stability of numerical methods for semi-linear impulsive differential equations ⋮ Stability of linear impulsive neutral delay differential equations with constant coefficients ⋮ Convergence, consistency and zero stability of impulsive one-step numerical methods
Uses Software
Cites Work
- Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
- Order stars and rational approximants to exp(z)
- On the general problem of stability for impulsive differential equations.
- Exponential stability of the solutions of the initial value problem for systems with an impulse effect
- Order stars and stability theorems
- Extinction and permanence of the predator–prey system with stocking of prey and harvesting of predator impulsively
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