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- W2126884070 abstract "The author discusses the class of fully implicit one-step methods of any order for the numerical solution of neutral functional-differential equations. For judicious choices of the parameters these methods are NP-stable, which means that the numerical approximation to the solution Y of the linear test equation y'=ay(t)+by(t-d) +cy'(t-d), t>or=0, is bounded whenever Y is bounded. This property is an analogue of A-stability of ordinary differential equations. The local discretization error of these methods can be estimated by comparing two approximations of successive orders. This can be done in a very efficient way, and these methods can be implemented in variable-step mode with a step-changing strategy based on this estimate. Numerical results are presented that illustrate the high potential of fully implicit formulas. >" @default.
- W2126884070 created "2016-06-24" @default.
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- W2126884070 date "2003-01-06" @default.
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- W2126884070 title "Fully implicit one-step methods for neutral functional-differential equations" @default.
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- W2126884070 doi "https://doi.org/10.1109/cdc.1988.194424" @default.
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