(k, l)-Algebraic Stability of Gauss Methods
- 1 April 1987
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 7 (2) , 251-259
- https://doi.org/10.1093/imanum/7.2.251
Abstract
It is well known that the s-stage Gauss Runge-Kutta methods of order 2s are algebraically stable, or equivalently (1, 0)-algebraically stable. In this paper, we show that there exists some ls > 0 such that the Gauss methods are (k, l) algebraically stable for l ε [0, ls) with k(l)=e2l+O(lp+1, where p=2s if s=1 or s=2, and p=2 if s>3.Keywords
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