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42 results for “numerical stability”
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Research ArticleOpen accessAll words, across the recordA Multiderivative Collocation Method for 5th Order Ordinary Differential EquationsS. J. Kayode, D. O. AwoyemiProblem statement: The conventional methods of solving higher order differential equations have been by reducing them to systems of first order equations. This approach is cumbersome and increases computational time. Approach: To address this problem, a numerical algorithm for direct solution of 5th order initial value problems in ordinary differential equations (odes), using power series as basis function, is proposed … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 8,928 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordAnalysis of the Interaction between the Lining of a TBM Tunnel and the Ground Using the Convergence-Confinement MethodPierpaolo OresteThe support used when a tunnel is excavated by a shielded TBM is complex because it consists of two different materials: A concrete segmental lining and a filler annulus between the lining and the tunnel wall. A detailed analysis of the behavior of such a support system requires a three-dimensional numerical modeling and should also consider the presence of the … …American Journal of Applied Sciences, Vol. 12, Issue 4 · 17 Jun 2015 · 7,183 accessesView PDFCite