Abstract
The solution of ordinary differential systems on manifolds could be treated as differential algebraic equation. In this paper we consider the solution of orthogonal differential systems deriving from the application of the gradient flow techniques to minimization problems. Neglecting the constraints for the solution a differential system is derived. Hence the problem is modified introducing a stabilization technique which is a function of the constrain. The advantage of this approach is that it is possible to apply non conservative numerical methods which are cheaper. Some numerical examples are shown.
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© 2003 Springer-Verlag Berlin Heidelberg
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Mastroserio, C., Politi, T. (2003). Applying Stabilization Techniques to Orthogonal Gradient Flows. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44862-4_17
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DOI: https://doi.org/10.1007/3-540-44862-4_17
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