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
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.