OnA-stable implicit Runge-Kutta methods |
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| Authors: | J C Butcher |
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| Institution: | (1) Department of Mathematics, The University of Auckland, Auckland, New Zealand |
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| Abstract: | An elementary proof is given of theA-stability of implicit Runge-Kutta methods for which the corresponding rational function is on the diagonal or one of the first two subdiagonals of the Padé table for the exponential function. The result is extended to give necessary and sufficient conditions for theA-stability ofn-stage methods of order greater than or equal to 2n–2. |
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