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Title of article :
A collocation formulation of multistep methods for variable step-size extensions Original Research Article
Author/Authors :
Carmen Arévalo، نويسنده , , Claus Führer، نويسنده , , Monica Selva Soto، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
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Abstract :
Multistep methods are classically constructed by specially designed difference operators on an equidistant time grid. To make them practically useful, they have to be implemented by varying the step-size according to some error-control algorithm. It is well known how to extend Adams and BDF formulas to a variable step-size formulation. In this paper we present a collocation approach to construct variable step-size formulas. We make use of piecewise polynomials to show that every k-step method of order k+1 has a variable step-size polynomial collocation formulation.
Journal title :
Applied Numerical Mathematics
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