Highest possible order of algebraically stable diagonally implicit runge-kutta methods |
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Authors: | E Hairer |
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Institution: | (1) Institut Für Mathematik, Universität Innsbruck, Innrain 52, A-6020 Innsbruck, Austria |
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Abstract: | We prove that the highest possible order of an algebraically stable diagonally implicit RK-method isfour; the highest possible order of a circle contractive singly diagonally implicit RK-method isfour; the highest possible order of a circle contractive diagonally implicit RK-method issix. |
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