Spline-oriented inter/extrapolation-based multirate schemes of higher order
Applied Mathematics Letters(2023)
摘要
Multirate integration uses different time step sizes for different components of the solution based on the respective transient behaviour. 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.
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关键词
ODE,Multirate schemes,Cubic spline
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