Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations |
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| Authors: | Peter Kaps Peter Rentrop |
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| Institution: | (1) Institut für Mathematik I, Universität Innsbruck, Technikerstr. 13, A-6020 Innsbruck, Austria;(2) Institut für Mathematik der Technischen Universität München, Arcisstr. 21, D-8000 Müchen 2, Germany (Fed. Rep.) |
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| Abstract: | Summary GeneralizedA( )-stable Runge-Kutta methods of order four with stepsize control are studied. The equations of condition for this class of semiimplicit methods are solved taking the truncation error into consideration. For application anA-stable and anA(89.3°)-stable method with small truncation error are proposed and test results for 25 stiff initial value problems for different tolerances are discussed. |
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| Keywords: | AMS(MOS):65L05 CR:5 17 |
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