20 citations · 21 across the 11 of their papers we have counts for
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math.NA2017
Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems
Quang A Dang, Manh Tuan Hoang
In this paper, we construct explicit nonstandard Runge-Kutta (ENRK) methods which have higher accuracy order and preserve two important properties of autonomous dynamical systems,…
math.NA2017
Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
Quang A Dang, Manh Tuan Hoang
In this paper nonstandard finite difference (NSFD) schemes of two metapopulation models are constructed. The stability properties of the discrete models are investigated by the use…
math.NA2017
Nonstandard finite difference schemes for a general predator-prey system
Quang A Dang, Manh Tuan Hoang
In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite…