Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (2)
- Authors
- Rybkov, Mikhail V.; Knaub, Lyudmila V.; Khorov, Danil V.
- Contact information
- Rybkov, Mikhail V.: Siberian Federal University Russian Federation; OCRID: 0000-0002-6560-1435; Knaub, Lyudmila V.: Siberian Federal University Russian Federation; OCRID: 0000-0003-4857-2078; Khorov, Danil V.: Siberian Federal University Russian Federation; OCRID: 0000-0001-8967-8341
- Keywords
- stiff problem; explicit methods; stability region; accuracy and stability control
- Abstract
Stability control of Runge-Kutta numerical schemes is studied to increase efficiency of in- tegrating stiff problems. The implementation of the algorithm to determine coefficients of stability polynomials with the use of the GMP library is presented. Shape and size of the stability region of a method can be preassigned using proposed algorithm. Sets of first-order methods with extended stability domains are built. The results of electrical circuits simulation show the increase of the efficiency of the constructed first-order methods in comparison with methods of higher order
- Pages
- 242-252
- DOI
- 10.17516/1997-1397-2020-13-2-242-252
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/135141
Journal of Siberian Federal University. Mathematics & Physics / First-Order Methods With Extended Stability Regions for Solving Electric Circuit Problems
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