报告主题： 常数变易公式及其在保结构计算中的应用
报告人： 吴新元 教授（南京大学数学系）
报告时间：2016年5月26日（周四）9:00
报告地点：校本部G507
邀请人：胡广大教授
主办部门：理学院数学系
报告摘要：This talk presents an operator-variation-of-constants formula with applications to higher-dimensional nonlinear wave equations. When the operator is replaced by a differential matrix, the formula reduces to the so-called matrix-variation-of-constants formula, which has motivated the formulation of multi-frequency and multi-dimensional adapted Runge-Kutta-Nystr\"{o}m (ARKN) methods, and multi-frequency and multi-dimensional extended Runge-Kutta-Nystr\"{o}m (ERKN) integrators, or the generalized Gaustchi--type methods, for multi-frequency oscillatory differential equations. This talk also concerns AAVF methods, Filon-type methods and trigonometric Fourier collocation methods etc. for efficiently solving multi-frequency highly oscillatory systems.
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