Aiaa Obrechkoff versus Super Implicit Methods for the Integration of Keplerian Orbits
نویسندگان
چکیده
This paper discusses the numerical solution of rst order initial value problems and a special class of second order ones those not containing rst derivative Two classes of methods are discussed super implicit and Obrechko We will show equivalence of super implicit and Obrechko schemes The advantage of Obrechko methods is that they are high order one step methods and thus will not require additional starting values On the other hand they will require higher derivatives of the right hand side In case the right hand side is complex we may prefer super implicit methods The super implicit methods may in general have a larger error constant but one can get the same error constant for the cost of an extra future value
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