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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


A nonexistence theorem for explicit $ A$-stable methods

Authors: Olavi Nevanlinna and Aarne H. Sipilä
Journal: Math. Comp. 28 (1974), 1053-1056
MSC: Primary 65L05
MathSciNet review: 0349021
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Abstract: It is proved that there are no A-stable explicit methods in a general class of "linear" methods. The class contains, for example, Runge-Kutta methods, linear multistep methods, predictor-corrector formulas, cyclic multistep methods and linear multistep methods with higher derivatives.

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PII: S 0025-5718(1974)0349021-0
Article copyright: © Copyright 1974 American Mathematical Society