演講公告

演講主題：On the finite difference approximation for parabolic and hyperbolic blow-up problems
主講人：卓建宏博士(Kyoto University, Japan)
演講日期：97年10月20日(星期一)<br>上午11:00-12:00
演講地點：(光復校區)科學一館307室
摘要內容：
We first consider the semilinear heat equation u_{t}=u_{xx}+f(u) (0<x<1, t>0) and its finite difference analogue. We show the convergence of the numerical solution and the numerical blow-up time. Moreover, the numerical blow-up sets, which are somewhat different to the blow-up set of PDE, are classified for several nonlinear terms. We apply the idea of the parabolic one to the semilinear wave equation u_{tt}=u_{xx}+u^2 (0<x<1, t>0). Our recent results will be reported.

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