An explicit and practically invariants-preserving method for conservative systems
Wenjun Cai,
Yuezheng Gong,
Yushun Wang
Abstract:An explicit numerical strategy that practically preserves invariants is derived for conservative systems by combining an explicit high-order Runge-Kutta (RK) scheme with a simple modification of the standard projection approach, which is named the explicit invariants-preserving (EIP) method. The proposed approach is shown to have the same order as the underlying RK method, while the error of invariants is analyzed in the order of O h 2(p+1) , where h is the time step and p represents the order of the method. W… Show more
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