论文标题

连续阶段runge-kutta近似差异问题

Continuous-Stage Runge-Kutta approximation to Differential Problems

论文作者

Amodio, Pierluigi, Brugnano, Luigi, Iavernaro, Felice

论文摘要

近年来,哈密顿问题的有效数值解决方案导致了一类能量持续的runge-kutta方法的定义,称为汉密尔顿边界价值方法(HBVMS)。这样的方法接受了一种有趣的解释,从连续阶段runge-kutta方法方面进行了一种有趣的解释,在这里对此进行了回忆和重新审视。

In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in terms of continuous-stage Runge-Kutta methods, which is here recalled and revisited for general differential problems.

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