This article is cited in 13 papers

Numerical integration of stiff systems with low accuracy

A. E. Novikov^a, E. A. Novikov<sup>b

a</sup> Siberian Federal University
^b Institute of Computer Modeling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk

Abstract: An L-stable (2,1)-method and an explicit two-stage Runge–Kutta type scheme are constructed, both schemes of order two. A numerical formula of order one is developed that is based on the stages of the explicit method and its stability interval is extended to 8. An integration algorithm of variable order and step is constructed that is based on the stages of the three schemes. The most effective numerical scheme is chosen for each step by means of stability control inequality. The results are given that confirm the effectiveness of the algorithm.

Received: 27.02.2008

 English version: Mathematical Models and Computer Simulations, 2010, 2:4, 443–452

Bibliographic databases:

• 
• 
•