Numerical Algorithm for Design of Stability Polynomials for the First Order Methods
DOI:
10.3384/ecp17142979URI (для ссылок/цитирований):
http://www.ep.liu.se/ecp/142/144/ecp17142144.pdfhttps://elib.sfu-kras.ru/handle/2311/129504
Автор:
Novikov, E. A.
Rybkov, M. V.
Novikov, A. E.
Коллективный автор:
Институт математики и фундаментальной информатики
Кафедра математического обеспечения дискретных устройств и систем
Дата:
2018-12Журнал:
Linköping Electronic Conference ProceedingsБиблиографическое описание:
Novikov, E. A. Numerical Algorithm for Design of Stability Polynomials for the First Order Methods [Текст] / E. A. Novikov, M. V. Rybkov, A. E. Novikov // Linköping Electronic Conference Proceedings. — 2018. — С. 979-983Аннотация:
The algorithm for coefficients determination for stability polynomials of degree up to m = 35 is developed. The coefficients correspond to explicit Runge-Kutta methods of the first accuracy order. Dependence between values of a polynomial at the points of extremum and both size and form of a stability domain is shown. Numerical results are given.