Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Plenary Talks

V.K. Ivanov's ideas concerning a priori information for solving ill-posed problems and practical applications

Yagola A.

Faculty of Physics,
Lomonosov Moscow State University (Moscow)

In V.K. Ivanov's publications it was provided mathematical justification for two methods for solving ill-posed if there exists an additonal a priori information about an unknown solution. If the solution is an element of a given compact set, V.K. Ivanov proposed the quasisolutions method. In this case it is possible to calculate an error estimate also. If the solution is sourcewise represented with a completely continuous operator then a stable approximate solution can be found with help of proposed by V.K. Ivanov the method of extended compacts. It is possible to calculate so called a posteriori error estimate. Practical applications of these two approaches are demonstrated.

Note. Abstracts are published in author's edition

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