Local interpolants for Numerov‐type methods and their implementation in variable step schemes
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DOI: 10.1002/mma.5808
Abstract: The classical explicit fourth‐order Numerov‐type method is considered. The equations of condition for deriving the corresponding interpolants are given. Then using a local error estimation, we may construct a stable variable step scheme. Applying this… read more here.
Keywords: numerov type; interpolants numerov; local interpolants; implementation ... See more keywords
Variable step‐size implementation of sixth‐order Numerov‐type methods
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DOI: 10.1002/mma.5929
Abstract: The explicit sixth‐order Numerov‐type family of methods is considered. A new representative from this family is produced and equipped with a cheap step‐size changing algorithm. Actually, after the completion of a step, this remains the… read more here.
Keywords: step size; numerov type; step; sixth order ... See more keywords
Hybrid Numerov-Type Methods with Coefficients Trained to Perform Better on Classical Orbits
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DOI: 10.1007/s40840-019-00775-z
Abstract: AbstractThis manuscript constructed a class of explicit hybrid Numerov methods of sixth order for second-order ordinary differential equations. The methods have four stages at each step with coefficients expressed explicitly with respect to a couple… read more here.
Keywords: coefficients trained; trained perform; methods coefficients; numerov type ... See more keywords