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Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods

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Published in BIT Numerical Mathematics. 1980, vol. 20, no. 2, p. 254-256
Abstract We prove that the highest possible order of an algebraically stable diagonally implicit RK-method is four; the highest possible order of a circle contractive singly diagonally implicit RK-method is four; the highest possible order of a circle contractive diagonally implicit RK-method is six.
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HAIRER, Ernst. Highest possible order of algebraically stable diagonally implicit Runge-Kutta methods. In: BIT Numerical Mathematics, 1980, vol. 20, n° 2, p. 254-256. https://archive-ouverte.unige.ch/unige:12543

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Deposited on : 2010-11-19

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