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Computation of blowing-up solutions for second-order differential equations using re-scaling techniques

Nabil Nassif 1 Noha Makhoul-Karam 2, 3 Yeran Soukiassian 1 
1 Department of mathematics [Beirut]
2 SAGE - Simulations and Algorithms on Grids for Environment
Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
3 IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires
Abstract : This paper presents a new technique to solve efficiently initial value ordinary differential equations of the second-order which solutions tend to have a very unstable behavior.
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Journal articles
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https://hal.inria.fr/hal-00782467
Contributor : Jocelyne Erhel Connect in order to contact the contributor
Submitted on : Tuesday, January 29, 2013 - 5:37:21 PM
Last modification on : Thursday, January 20, 2022 - 4:19:55 PM

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INSTITUT-TELECOM | EC-PARIS | UNIV-RENNES1 | CNRS | INRIA | INSA-RENNES | IRISA | INSMI | IRISA-D1 | INRIA2 | TDS-MACS | UR1-MATH-STIC | UR1-UFR-ISTIC | UNIV-RENNES | INSA-GROUPE | UR1-MATH-NUM

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Nabil Nassif, Noha Makhoul-Karam, Yeran Soukiassian. Computation of blowing-up solutions for second-order differential equations using re-scaling techniques. Journal of Computational and Applied Mathematics, Elsevier, 2009, 227 (1), pp.185-195. ⟨10.1016/j.cam.2008.07.020⟩. ⟨hal-00782467⟩

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