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DATE | 2018-04-12 16:10-17:00 |

PLACE | 數學館3174教室 |

SPEAKER | 卓建宏 副教授（中正大學數學系） |

TITLE | A Numerical Algorithm for Blow-up Problem |

ABSTRACT | In many evolution equations, solutions may become unbounded in finite time. This phenomenon is often called blow-up and the finite time is called the blow-up time. To numerically reproduce the finite-time blow-up phenomenon, schemes with adaptive time meshes were considered to be necessary. Since the numerical blow-up time is defined by an infinite sum, which implies that one needs to compute infinite times to achieve blow-up, this method cannot be carried out in real computation. As a consequence, we propose an algorithm accomplished by schemes with uniform time meshes for the computation of blow-up solutions. In this talk, we are concerned with a question: to what extent can this algorithm be applied to compute the blow-up solutions and reproduce the blow-up behavior? |