Abstract
This paper deals with a set-valued version of the two-stage Runge-Kutta method with coefficients satisfying certain conditions. Applying it to a differential inclusion which right-hand side is a strongly convex set-valued map, we obtain third order local accuracy of the approximate reachable sets.
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References
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© 2004 Springer-Verlag Berlin Heidelberg
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Pulova, N., Pulov, V. (2004). One Approximation to the Reachable Sets of Strongly Convex Differential Inclusions. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_30
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DOI: https://doi.org/10.1007/978-3-540-24588-9_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21090-0
Online ISBN: 978-3-540-24588-9
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