Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations

Abstract : This largely self-contained book provides a unified framework of semi-Lagrangian strategy for the approximation of hyperbolic PDEs, with a special focus on Hamilton-Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The developments covered in the text and the references come from a wide range of literature.
Type de document :
Ouvrage (y compris édition critique et traduction)
SIAM, pp.319, 2014, 978-1-611973-04-4
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https://hal.inria.fr/hal-00916055
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Soumis le : lundi 9 décembre 2013 - 16:42:53
Dernière modification le : lundi 21 mars 2016 - 11:34:36

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  • HAL Id : hal-00916055, version 1

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Maurizio Falcone, Roberto Ferretti. Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations. SIAM, pp.319, 2014, 978-1-611973-04-4. 〈hal-00916055〉

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