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FMSP Lectures
Seminar information archive ～03/19｜Next seminar｜Future seminars 03/20～
2019/12/10
17:00-18:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Anatoly G. Yagola (Lomonosov Moscow State University)
A priori and a posteriori error estimation for solutions of ill-posed problems (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_AnatolyYagola.pdf
Anatoly G. Yagola (Lomonosov Moscow State University)
A priori and a posteriori error estimation for solutions of ill-posed problems (ENGLISH)
[ Abstract ]
In order to calculate a priori or a posteriori error estimates for solutions of an ill-posed operator equation with an injective operator we need to describe a set of approximate solutions that contains an exact solution. After that we have to calculate a diameter of this set or maximal distance from a fixed approximate solution to any element of this set. I will describe three approaches for constructing error estimates and also their practical applications.
[ Reference URL ]In order to calculate a priori or a posteriori error estimates for solutions of an ill-posed operator equation with an injective operator we need to describe a set of approximate solutions that contains an exact solution. After that we have to calculate a diameter of this set or maximal distance from a fixed approximate solution to any element of this set. I will describe three approaches for constructing error estimates and also their practical applications.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_AnatolyYagola.pdf
