论文标题
高阶的基于样条的基于样条间/外推的多阶段
Spline-oriented inter/extrapolation-based multirate schemes of higher order
论文作者
论文摘要
多次集成根据各自的瞬态行为使用不同的时间步长对解决方案的不同组件。对于基于间/外推的多进取方案，我们通过使用夹紧的立方条来构建一个新的方案子类，以获取最多订单4的多段方案。 $ n $ - 质量振荡器的数值结果表明，这类方案可以实现第四次收敛阶。
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behavior. For inter/extrapolation-based multirate schemes, we construct a new subclass of schemes by using clamped cubic splines to obtain multirate schemes up to order 4. Numerical results for a $n$-mass-oscillator demonstrate that 4th order of convergence can be achieved for this class of schemes.
