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

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.

Monografia sugli schemi numerici semi-Lagrangiani e le loro applicazioni alla fluidodinamica, al controllo ed al trattamento delle immagini