A New Class of Scaling Correction Methods

Li-Jie Mei, Xin Wu, Fu-Yao Liu
2012 Chinese Physics Letters  
When conventional integrators like Runge-Kutta-type algorithms are used, numerical errors can make an orbit deviate from a hypersurface determined by many constraints, which leads to unreliable numerical solutions. Scaling correction methods are a powerful tool to avoid this. We focus on their applications, and also develop a family of new velocity multiple scaling correction methods where scale factors only act on the related components of the integrated momenta. They can preserve exactly some
more » ... eserve exactly some first integrals of motion in discrete or continuous dynamical systems, so that rapid growth of roundoff or truncation errors is suppressed significantly.
doi:10.1088/0256-307x/29/5/050201 fatcat:ztljqpmfsndkzegg4dwm3fev3e