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- W1997493453 abstract "Abstract Results of studies conducted on application of stepwise integration schemes to sets of linear first ordei ordinary differential equations defining two-point boundary value problems are presented. Previous investigations recognized need for segmenting the integration interval into a number of smaller sub-intervals when boundary layer effects are present; this multi-segment scheme has been successfully utilized for stress analysis of shells of revolution and a rule of thumb suggested for establishing the required number of segments. Contrary to findings of previous investigations, the work here indicates that integration using a single segment may have a much wide range of application. Results of numerical studies are presented leading to the conclusion that the range of validity of a single segment solution is increased by a factor of six to ten over what has previously been suggested in the literature for two-point boundary value problems exhibiting boundary layer behavior." @default.
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- W1997493453 date "1972-11-01" @default.
- W1997493453 modified "2023-09-25" @default.
- W1997493453 title "Extended validity of single segment stepwise integration schemes for solution of two-point boundary value problems" @default.
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- W1997493453 doi "https://doi.org/10.1016/0045-7825(72)90011-4" @default.
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