Keller, Herbert B. (1969) Accurate difference methods for linear ordinary differential systems subject to linear constraints. SIAM Journal on Numerical Analysis, 6 (1). pp. 8-30. ISSN 0036-1429. doi:10.1137/0706002. https://resolver.caltech.edu/CaltechAUTHORS:20120921-104823831
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Abstract
We consider the general system of n first order linear ordinary differential equations y'(t)=A(t)y(t)+g(t), a<t< b, subject to "boundary" conditions, or rather linear constraints, of the form Σ^(N)_(ν=1) B_(ν)y(τ_ν)=β Here y(t), g(t) and II are n-vectors and A(t), Bx,..., BN are n × n matrices. The N distinct points {τ_ν} lie in [a,b] and we only require N ≧ 1. Thus as special cases initial value problems, N=1, are included as well as the general 2-point boundary value problem, N=2, with τ_1=a, τ_2=b. (More general linear constraints are also studied, see (5.1) and (5.17).)
Item Type: | Article | |||||||||
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Additional Information: | © 1969 SIAM. Received by the editors August 12, 1968. This work was supported by the U.S. Army Research Office, Durham, under Contract DAHC 04-68-C-0006. | |||||||||
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Issue or Number: | 1 | |||||||||
DOI: | 10.1137/0706002 | |||||||||
Record Number: | CaltechAUTHORS:20120921-104823831 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120921-104823831 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 34280 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
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Deposited On: | 21 Sep 2012 19:41 | |||||||||
Last Modified: | 09 Nov 2021 23:07 |
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