RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Seminar on Complex Analysis (Gonchar Seminar)
December 16, 2013 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


Computation of Abelian integrals without quadratures

A. B. Bogatyrev

Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow

Number of views:
This page:96

Abstract: Formulas that go back to Riemann, represent abelian integrals in terms of theta functions. However, these formulas explicitly contain the Abel-Jacobi mapping, that is Abelian integrals again. One can circumvent the stumbling block by explicit localization of the image of the curve inside its Jacobian under the A-J map. We now have a parametric representation of abelian integrals: an explicit expression for the integral on the one hand, and an explicit expression for some projection of the curve onto the sphere - on the other. This representation of the Abelian integral can be used either for its computation (with the machine precision), or - for its inversion.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017