{"product_id":"approximation-of-hamilton-jacobi-equations-on-irregular-data-semilagrangian-methods-and-convergence-in-some-non-classical-situations-3659140538","title":"Approximation of Hamilton Jacobi equations on irregular data: semiLagrangian methods and convergence in some non classical situations","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 3659140538\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Festa, Adriano\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\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","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51929568051488,"sku":"NEW3659140538","price":88.8,"currency_code":"USD","in_stock":false}],"url":"https:\/\/miakarts.com\/products\/approximation-of-hamilton-jacobi-equations-on-irregular-data-semilagrangian-methods-and-convergence-in-some-non-classical-situations-3659140538","provider":"Miakarts Books","version":"1.0","type":"link"}