JSTOR Daily

H-STABILITY OF RUNGE-KUTTA METHODS WITH VARIABLE STEPSIZE FOR SYSTEM OF PANTOGRAPH EQUATIONS

This paper deals with H-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A ...
生物通

振荡哈密顿系统的新型能量守恒松弛扩展Runge-Kutta Nystr?m框架研究

本文创新性地提出了一种基于松弛技术和扩展Runge-Kutta Nystr?m（ERKN）方法的能量守恒算法，用于求解振荡哈密顿系统。通过引入松弛参数γ，新方法（RERKN）在保持原系统能量守恒性的同时，显著提升了长期数值模拟的精度。研究不仅证明了松弛参数的存在性，还 ...
JSTOR Daily

Error Analysis of IMEX Runge-Kutta Methods Derived from Differential-Algebraic Systems

In this paper we present an error analysis of the IMEX Runge-Kutta methods when applied to stiff problems containing a nonstiff term and a stiff term, characterized ...
Simon Fraser University

Jim Verner's Refuge for Runge-Kutta Pairs

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...