DATE2024-05-16 16:10-17:00

PLACE數學系館 1F3174教室

SPEAKER卓建宏 教授(中山大學應用數學系

TITLEOn the Convergence of the Numerical Blow-Up Time for a Rescaling Algorithm

ABSTRACT Berger and Kohn (1988) proposed an algorithm to compute approximate blow-up times for those evolution equations whose solutions blow up in a finite time and possess a scaling invariance property. Later, Anada et al. (2018) used this algorithm to compute the blow-up rates of various blow-up problems which turned out to be very effective. However, the convergence analysis for this algorithm seemed to be not well-studied. In this talk, we analyze the numerical implementation for this algorithm via a nonlinear ODE blow-up problem. The convergence order of the numerical blow-up time is also verified.