, Volume 19, Issue 4, pp 495-502

Evaluation of implicit formulas for the solution of ODEs

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Abstract

Implicit formulas are quite popular for the solution of ODEs. They seem to be necessary for the solution of stiff problems. An acceptance test must be made of the approximate solution of the algebraic equations arising in the evaluation of an implicit formula. A reliable way to make this test is presented. It offers many practical advantages over current tests.