We derive Runge-Kutta-Nystrom (RKN) method of of fifth order for quadratic Hamiltonian systems at a cost of five stages. This was achieved using Evolutionary Optimization at the stage of solving the order conditions.
机构:
Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China