Adriano Festa

Approximation of Hamilton Jacobi equations on irregular data

semiLagrangian methods and convergence in some non classical situations

• Broschiertes Buch

Produktbeschreibung

This book deals with the development and the analysis of numerical methods for the resolution of first order nonlinear differential equations of Hamilton-Jacobi type on irregular data. These equations arises for example in the study of front propagation via the level set methods, the Shape-from-Shading problem and, in general, in Control theory. Our contribution to the numerical approximation of Hamilton-Jacobi equations consists in the proposal of some semiLagrangian schemes for different kind of discontinuous Hamiltonian and in an analysis of their convergence and a comparison of the results on some test problems. In particular we will approach with an eikonal equation with discontinuous coefficients in a well posed case of existence of Lipschitz continuous solutions. Furthermore, we propose a semiLagrangian scheme also for a Hamilton-Jacobi equation of a eikonal type on a ramified space, for example a graph. This is a not classical domain and only in last years there are developed a systematic theory about this. We present, also, some applications of our results on several problems arise from applied sciences.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Aufl.
• Seitenzahl: 128
• Erscheinungstermin: 26. Mai 2012
• Englisch
• Abmessung: 220mm x 150mm x 8mm
• Gewicht: 209g
• ISBN-13: 9783659140532
• ISBN-10: 3659140538
• Artikelnr.: 35922982

Autorenporträt

Adriano Festa received the M. Sc. Degree in Applied Mathematics with a thesis in Computer Vision, and a PhD in Mathematics from Sapienza University of Rome. He is actually employed as Experienced Researcher at Imperial College of London in the EEE Department, Power and Control Group. His interests include Control Theory, Numerics, Computer Vision.