Diagonally implicit Runge-Kutta methods for stiff problems
- 1 December 2006
- journal article
- Published by Pleiades Publishing Ltd in Computational Mathematics and Mathematical Physics
- Vol. 46 (12) , 2110-2123
- https://doi.org/10.1134/s0965542506120098
Abstract
Diagonally implicit Runge-Kutta methods are examined. It is shown that, for stiff problems, the methods based on the minimization of certain error functions have advantages over other methods; these functions are determined in terms of the errors for simplest model equations. Methods of orders three, four, five, and six are considered.Keywords
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