Numerical Solution of a Hyperbolic-parabolic System by Splitting Methods and Optimal Control Approaches
Abstract: A new approach has been developed for solving the tide dynamics problem, based on the splitting methods and the optimal control theory. We first apply the classical splitting method for solving the problem. Then we use the optimal control theory approaches to the system of equations obtained after the splitting. An optimal control problem has been formulated for realizing a splitting method step. We prove that the optimal control problem is well-posed and we propose an iterative process of the minimization problem. The results of the numerical experiments are presented.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Numerical Solution of a Hyperbolic-parabolic System by Splitting Methods and Optimal Control Approaches ; volume:7 ; number:3 ; year:2001 ; pages:193-207
Computational methods in applied mathematics ; 7, Heft 3 (2001), 193-207
- Creator
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Agoshkov, V.I.
Botvinovsky, E.A.
- DOI
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10.2478/cmam-2007-0011
- URN
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urn:nbn:de:101:1-2410261626544.568643033387
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:30 AM CEST
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Associated
- Agoshkov, V.I.
- Botvinovsky, E.A.
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