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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/120195

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/120195

Title:	The reduced basis method for initial value problems.
Authors:	Porsching, T. A. Lee, Meei-Yow Lin
Contributors:	應數系
Date:	1987
Issue Date:	2018-09-28 16:28:36 (UTC+8)
Abstract:	This paper deals with the application of the reduced basis method to the initial value problem of ordinary differential equations. A global approximation of the true solution curve is defined in terms of a sequence of reduced basis curves. Error bounds are established and these lead to order estimates for specific choices of reduced basis subspaces. The effects of numerical integration are then incorporated into the estimates. A numerical study is included.
Relation:	SIAM Journal on Numerical Analysis, Volume 24, Issue 6 , 1277-1287 AMS MathSciNet:MR917452
Data Type:	article
DOI link:	http://dx.doi.org/10.1137/0724083
DOI:	10.1137/0724083
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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