演講者：卓建宏先生
單 位：日本京都大學數理解析研究所
日 期：2009年3月4日 PM 14:30
地 點：國立高雄大學理學院408室
講 題：On the finite difference approximation for blow-up problems
摘 要：
We consider the semilinear heat equation u = u + f (u) (0 < x < 1, t > 0) t xx 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 PDEs, are classified for several nonlinear terms. We apply the idea of the parabolic one to the semilinear wave equation u = u2 (0 < x < 1, t > 0) tt . Our recent results will be reported.
