Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations
Maurizio Falcone · Roberto Ferretti
Jan 2013 · Other Titles in Applied Mathematics Book 131 · SIAM
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331
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About this ebook
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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