Variable Step Size Destabilizes the St {
نویسنده
چکیده
For fixed step-size h the Strrmer method is stable for the standard test equation y = co2y, co > O, if and only ifhco < 2. We show that for variable step size h~ there does not exist a (positive) limit on hco which ensures stability. Nor can we guarantee stability if, in addition, we limit the step size ratio h~/h,_ 1AMS(MOS) Subject Classifications: 65L20.
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