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High order a-stable methods for the numerical solution of systems of D.E.'s

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Abstract

The following note shows how one can obtain one step methods of arbitrarily high order which satisfy Dahlquist's requirements ofA-stability. Although most of these methods appear at the moment to be largely of theoretical interest the author is working on several practical applications.

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Ehle, B.L. High order a-stable methods for the numerical solution of systems of D.E.'s. BIT 8, 276–278 (1968). https://doi.org/10.1007/BF01933437

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