High order second derivative methods with Runge{Kutta stability for the numerical solution of sti ODEs
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-5-2_001
تاریخ نمایه سازی: 6 شهریور 1396
Abstract:
We describe the construction of second derivative general linear methods (SGLMs) of orders five and six. We will aim for methods which are A--stable and have Runge--Kutta stability property. Some numerical results are given to show the efficiency of the constructed methods in solving stiff initial value problems.
Keywords:
Ordinary di erential equation , General linear methods , Runge{Kutta stability , A{stability , Second derivative methods