(k, l)-Algebraic Stability of Gauss Methods |
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Authors: | BURRAGE KEVIN |
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Institution: |
Department of Computer Science, University of Auckland New Zealand
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Abstract: | It is well known that the s-stage Gauss Runge-Kutta methodsof order 2s are algebraically stable, or equivalently (1, 0)-algebraicallystable. In this paper, we show that there exists some ls >0 such that the Gauss methods are (k, l) algebraically stablefor l 0, ls) with k(l)=e2l+O(lp+1, where p=2s if s=1 or s=2,and p=2 if s>3. |
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