Volume preservation by Runge-Kutta methods

来源 :2015 NaiJing Symposium on Structure-Preserving Algorithms fo | 被引量 : 0次 | 上传用户：yy349764474

【摘要】

：

　　It is a classical theorem of Liouville that Hamiltonian systems preserve vol-ume in phase space.Any symplectic Runge-Kutta method will respect this property

【作者】

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M.Webb

【出处】

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2015 NaiJing Symposium on Structure-Preserving Algorithms fo

【发表日期】

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2015年8期

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　　It is a classical theorem of Liouville that Hamiltonian systems preserve vol-ume in phase space.Any symplectic Runge-Kutta method will respect this property for such systems,but Iserles,Quispel and Tse showed that no B-Series method can be volume preserving for all volume preserving vector ˉelds(BIT 47(2007)351-378).

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Volume preservation by Runge-Kutta methods

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