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A Guide for the Selection of a Numerical Methodology Adapted to the Analysis of Extreme Events

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Modeling, Simulation and Optimization for Science and Technology

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 34))

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Abstract

The main goal of this chapter dedicated to catastrophic extreme events is to provide a methodology to better predict their occurrence and better handle them, once they happen. Starting from recent catastrophic extreme events (such as Katerina and Fukushima) in order to illustrate their very high complexity and learn lessons from them, the author shows how combining probability-statistics, modeling, simulation, model reduction, evolution algorithms, dynamical systems, and their control may contribute to the construction of the above, necessarily multi-disciplinary, methodology.

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Acknowledgments

All the Jacques-Louis Lions school’s from US to China, Finland and Japan appear finally to have contributed to that attempt at mastering the risks as part of his great challenge of mastering via computation the great systems so needed to the high technology world of the future. Roland Glowinski continue brilliantly to push ahead the progresses on that way. May I now, however, to finish this presentation, dedicate the thoughts expressed here particularly to Jacques Periaux. Jacques made some quintessential contributions to the numerical analysis of major relevant issues in the simulation of the complexity of our world. His 70th anniversary gives us the opportunity to see together many of the leaders who interacted with him in his distinguished career, so open to new developments in academic and industrial applications. He enabled my Chinese friends and I to recently open a fruitful work in deciphering archeological artifacts in China. We are just now waiting for the Chinese report on the three years’ work carried out diligently by a Franco-Chinese research group, with gratitude for his initial assistance. It is a work that will renew drastically the history of the Eastern Han dynasty and its relations with Middle East. We have here yet another example of excellence in international cooperation, a task in which Jacques was successful many times over and in many countries to help launch and maintain operations as can be seen today by the present audience.

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Correspondence to Pierre C. Perrier .

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Perrier, P.C. (2014). A Guide for the Selection of a Numerical Methodology Adapted to the Analysis of Extreme Events. In: Fitzgibbon, W., Kuznetsov, Y., Neittaanmäki, P., Pironneau, O. (eds) Modeling, Simulation and Optimization for Science and Technology. Computational Methods in Applied Sciences, vol 34. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9054-3_9

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  • DOI: https://doi.org/10.1007/978-94-017-9054-3_9

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-9053-6

  • Online ISBN: 978-94-017-9054-3

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