A Hopf Bifurcation Theorem for Difference Equations Approximating a Differential Equation.
A modified version of explicit Runge-Kutta methods for energy-preserving
In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is presented. The order of the modified Runge-Kutta method is the same as the standard Runge-Kutta method, but it is superior in energy-preserving to the standard one. Comparing the modified Runge-Kutta method with the standard Runge-Kutta method, numerical experiments...
A Note on Multistep Methods and Attracting Sets of Dynamical Systems.
A0-Stability and Stiff Stability of Brown's Multistep Multiderivative Methods.