{"product_id":"approximation-of-hamilton-jacobi-equations-on-irregular-data-von-adriano-festa","title":"Approximation of Hamilton Jacobi equations on irregular data","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659140532\"\u003e\u003ch3\u003esemiLagrangian methods and convergence in some non classical situations\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783659140532","offer_id":39487780192349,"sku":"9783659140532","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/62c2a3d0-2763-405b-9a40-70c6fa0a1275.jpg?v=1770876050","url":"https:\/\/shop.autorenwelt.de\/en\/products\/approximation-of-hamilton-jacobi-equations-on-irregular-data-von-adriano-festa","provider":"Autorenwelt Shop","version":"1.0","type":"link"}