演講公告

演講主題：On the finite difference approximation for hyperbolic blow-up problems
主講人：卓建宏教授 (中正大學數學系)
演講日期：2010年11月9日(星期二) 下午2:00 –3:00
演講地點：(光復校區)科學一館223室
茶會時間：當天下午1:30
摘要內容：
We first consider the CLM equation as an example showing the difficulties in reproducing blow-up numerically. Then we consider the semilinear wave equation $u_{tt}=u_{xx}+u^2$ and its finite difference analogue whose time mesh is adaptively-defined. We show not only that our numerical solution blows up in finite time but also that the numerical blow-up time converges to the real blow-up time under certain assumptions. However, it is difficult to show the stability of the numerical solution if the time mesh varies every step. Our recent results on this issue and several numerical examples will be reported.
相關檔案：演講991109.doc

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