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題名 The reduced basis method for initial value problems.
作者 Porsching, T. A.
Lee, Meei-Yow Lin
貢獻者 應數系
日期 1987
上傳時間 28-Sep-2018 16:28:36 (UTC+8)
摘要 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.
關聯 SIAM Journal on Numerical Analysis, Volume 24, Issue 6 , 1277-1287
AMS MathSciNet:MR917452
資料類型 article
DOI http://dx.doi.org/10.1137/0724083
dc.contributor 應數系
dc.creator (作者) Porsching, T. A.en_US
dc.creator (作者) Lee, Meei-Yow Linen_US
dc.date (日期) 1987
dc.date.accessioned 28-Sep-2018 16:28:36 (UTC+8)-
dc.date.available 28-Sep-2018 16:28:36 (UTC+8)-
dc.date.issued (上傳時間) 28-Sep-2018 16:28:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/120195-
dc.description.abstract (摘要) 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.en_US
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) SIAM Journal on Numerical Analysis, Volume 24, Issue 6 , 1277-1287
dc.relation (關聯) AMS MathSciNet:MR917452
dc.title (題名) The reduced basis method for initial value problems.en_US
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1137/0724083
dc.doi.uri (DOI) http://dx.doi.org/10.1137/0724083