应云顶国际4008服务平台的邀请，英国剑桥大学应用数学与理论物理系Marcus Webb 博士将于近期访问我院，并作以下学术报告：
    报告题目：Volume preservation by Runge–Kutta methods
    报告时间：2015年8月15日下午14：30
    报告地点：理科楼407
    报告摘要：It is a classical theorem of Liouville that Hamiltonian systems preserve volume 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 fields (BIT 47 (2007)351–378). In this talk we show that despite this result, symplectic Runge–Kutta methods can be volume preserving for a much larger class of vector fields than Hamiltonian systems, and time permitting, discuss how some Runge–Kutta methods can preserve a modified measure exactly.

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