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Galerkin method for a third-order differential-operator equation

✍ Scribed by Vinogradova, P. V.; Zarubin, A. G.


Book ID
121735979
Publisher
Springer
Year
2014
Tongue
English
Weight
264 KB
Volume
50
Category
Article
ISSN
0012-2661

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In this paper, we propose a new discontinuous finite element method to solve initial value problems for ordinary differential equations and prove that the finite element solution exhibits an optimal O(Dt p+1 ) convergence rate in the L 2 norm. We further show that the p-degree discontinuous solution