S. Adlaj, G. I. Malashonok, K. Yu. Malyshev, A. V. Seliverstov, F. G. Uskov, “On algorithms for calculating complete elliptic integrals”, Zap. Nauchn. Sem. POMI, 2022, Volume 517,Pages <nobr>5

On algorithms for calculating complete elliptic integrals

S. Adlaj^abc, G. I. Malashonok^d, K. Yu. Malyshev^e, A. V. Seliverstov^f, F. G. Uskov^gb

^a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
^b Gubkin Russian State University of Oil and Gas
^c National University of Science and Technology «MISIS», Moscow
^d National University of Kiev-Mohyla Academy
^e Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics
^f Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
^g Skolkovo Institute of Science and Technology

Abstract: Methods for calculating complete elliptic integrals of the first and second kind and their implementation in the MathPartner computer algebra system are considered.

Key words and phrases: complete elliptic integral,numerical methods, computer algebra, MathPartner.

UDC: 519.62

Received: 02.12.2022