College of Science and Engineering
Permanent URI for this collectionhttps://hdl.handle.net/10657.1/885
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Browsing College of Science and Engineering by Author "Feagin, Terry"
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Item High-Order m-symmetric Runge-Kutta Methods(Proceeding of the 23rd Biennial Conference on Numerical Analysis, 2009-06) Feagin, TerryItem An Implicit Runge-Kutta Method for Perturbed Ordinary Differential Equations(Proceedings of Neural, Parallel & Scientific Computations, 2010) Feagin, TerryA novel approach is developed for computing the numerical solution of perturbed ordinary differential equations using implicit Runge-Kutta methods. At each step of the integration of the differential equations, the method uses an enhanced initial approximation for each stage and then solves the implicit equations using a modified Picard iteration. The new approach offers greater efficiency for computing numerical solutions to perturbed initial value problems.