Richardson Extrapolation combined with the sequential splitting procedure and the θ-method
Zlatev Zahari, Faragó István, Havasi Ágnes
Open Mathematics · 2012
doi:10.2478/s11533-011-0099-7 (opens in a new tab)
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Abstract
Initial value problems for systems of ordinary differential equations (ODEs) are solved numerically by using a combination of (a) the θ-method, (b) the sequential splitting procedure and (c) Richardson Extrapolation. Stability results for the combined numerical method are proved. It is shown, by using numerical experiments, that if the combined numerical method is stable, then it behaves as a second-order method.
Abstract licence: CC BY
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