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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.
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Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Monday, December 9, 2013 - 4:42:53 PM
Last modification on : Wednesday, November 3, 2021 - 2:18:07 PM


  • HAL Id : hal-00916055, version 1



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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