The book is based on a course of lectures given by the authors at the Faculty of Computational Mathematics and Cybernetics of Moscow State University. For the first time in educational literature, the dynamic regularization method developed by Yu.S. Osipov and his students is presented - a method for solving unstable inverse problems for systems of ordinary differential equations, partial differential equations, etc. For the sake of completeness, the presentation includes auxiliary material from functional analysis, which is necessary for rigorous mathematical formulations of the inverse problems under consideration and justification of the convergence issues of the presented method. For undergraduate and graduate students of universities studying in the specialty "Applied Mathematics".
To cite this article
Osipov Yu.S., Vasiliev F.P., Potapov M.M. Basics of the method of dynamic regulation. - M.: Moscow University Publishing House, 1999. - 237 p.
The book is based on a course of lectures given by the authors at the Faculty of Computational Mathematics and Cybernetics of Moscow State University. For the first time in educational literature, the dynamic regularization method developed by Yu.S. Osipov and his students is presented - a method for solving unstable inverse problems for systems of ordinary differential equations, partial differential equations, etc. For the sake of completeness, the presentation includes auxiliary material from functional analysis, which is necessary for rigorous mathematical formulations of the inverse problems under consideration and justification of the convergence issues of the presented method. For undergraduate and graduate students of universities studying in the specialty "Applied Mathematics".
For citations
Osipov Yu.S., Vasiliev F.P., Potapov M.M. Basics of the method of dynamic regulation. - M.: Moscow University Publishing House, 1999. - 237 p.