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GCOE Seminars
Seminar information archive ～10/10｜Next seminar｜Future seminars 10/11～
2010/12/03
13:30-14:30 Room #370 (Graduate School of Math. Sci. Bldg.)
Nalini Joshi (University of Sydney)
Geometric asymptotics of the first Painleve equation (ENGLISH)
Nalini Joshi (University of Sydney)
Geometric asymptotics of the first Painleve equation (ENGLISH)
[ Abstract ]
I will report on my recent collaboration with Hans Duistermaat on the geometry of the space of initial values of the first Painleve equation, which was first constructed by Okamoto. We show that highly accurate information about solutions can be found by utilizing the regularized and compactified space of initial values in Boutroux's coordinates. I will also describe numerical explorations based on this work obtained in collaboration with Holger Dullin.
I will report on my recent collaboration with Hans Duistermaat on the geometry of the space of initial values of the first Painleve equation, which was first constructed by Okamoto. We show that highly accurate information about solutions can be found by utilizing the regularized and compactified space of initial values in Boutroux's coordinates. I will also describe numerical explorations based on this work obtained in collaboration with Holger Dullin.
