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Activities

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Colloquium
Beginning2018-05-14 16:00:00
Ending2018-05-14 17:00:00
Event titleColloquium-A numerical algorithm for blow-up problems
Speaker卓建宏 教授 (國立中正大學)
PlaceLecture Room B, 4th Floor, The 3rd General Building
DescriptionClick here to read
Attached file File download Adobe PDF
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NoteAbstract

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, such a method can not be carried 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?
Last Update Time2018-05-03 16:11:11
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