A stability result for general linear methods with characteristic function having real poles only |
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| Authors: | G -Y Psihoyios J R Cash |
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| Institution: | (1) Department of Mathematics, Imperial College, South Kensington, SW7 2BZ London, England |
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| Abstract: | It is shown that there exist A-stable multistep formulae, with a characteristic function havings poles, all of which are real, with orderp satisfyingp>s+1. This contradicts the widely held belief thatp=s+1 is the maximum possible order of such a method. |
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| Keywords: | 65L06 65L20 |
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