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Books Year : 2014

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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Dates and versions

hal-00916055 , version 1 (09-12-2013)

Identifiers

  • HAL Id : hal-00916055 , version 1

Cite

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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