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P-stable Hybrid Super-implicit Methods For Periodic Initial Value Problems
Journal of Mathematics and Computer Science
This paper deals with a class of symmetric (hybrid) P-stable methods for the numerical solution of special second order initial value problems (IVPs). For linear multistep methods, Lambert and Watson  , had shown that a P-stable method is necessarily implicit and that the maximum order attainable by a P -stable method is at most two. P-stability is important in the case of 'periodic stiffness' as it is termed by Lambert and Watson  , that is, when the solution consists of an oscillationdoi:10.22436/jmcs.015.02.04 fatcat:fzytalh5r5fjzpk34ig5oiaagm