Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems
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DOI: 10.1007/s40314-019-0786-8
Abstract: This paper studies diagonal implicit symplectic extended Runge–Kutta–Nyström (ERKN) methods for solving the oscillatory Hamiltonian system $$H(q,p)=\dfrac{1}{2}p^\mathrm{T}p+\dfrac{1}{2}q^\mathrm{T}Mq+U(q)$$H(q,p)=12pTp+12qTMq+U(q). Based on symplecticity conditions and order conditions, we construct some diagonal implicit symplectic ERKN methods. The stability of… read more here.
Keywords: methods solving; implicit symplectic; diagonal implicit; solving oscillatory ... See more keywords