Special Session 63: Advanced high order geometric numerical integration methods for differential equations
Contents
Multi-revolution methods are meant to numerically solve highly oscillatory problems or almost-periodic systems.
In this talk we present an embedded pair of Dormand and Prince type with orders 5 and 4 of multi-revolution RK formulae that allows us to implement it in an adaptive way. A technique for automatic correction of the period is also proposed. Numerical experiments show the efficiency of these schemes when compared with standard integrators.