Study of the Spectral Stability of Generalized Runge–Kutta Methods in the Initial Problem for the Transfer Equation


Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

Resumo

We study the problem of spectral stability of generalized Runge–Kutta methods of various orders of accuracy as applied to the numerical integration of the initial-value problem for the transfer equation and compare the approximate solutions obtained by using various generalized Runge–Kutta methods with the exact solution for complex oscillating initial conditions with derivatives large in the absolute value. It is shown that some classical finite-difference schemes of integration of the initial-boundary-value problem for the transfer equation are obtained as a result of successive application of generalized and ordinary Runge–Kutta methods with respect to all independent variables.

Sobre autores

A. Yankovskii

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division of the Russian Academy of Science

Email: Jade.Santos@springer.com
Rússia, Novosibirsk

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Springer Science+Business Media New York, 2016