3 papers
math.NA2020
Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations
Maurizio Falcone, Giulio Paolucci, Silvia Tozza
The lack of smoothness is a common feature of weak solutions of nonlinear hyperbolic equations and is a crucial issue in their approximation. This has motivated several efforts to…
math.NA2018
A High-Order Scheme for Image Segmentation via a modified Level-Set method
Maurizio Falcone, Giulio Paolucci, Silvia Tozza
In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of…
math.NA2018
Convergence of Adaptive Filtered Schemes for First Order Evolutionary Hamilton-Jacobi Equations
Maurizio Falcone, Giulio Paolucci, Silvia Tozza
We consider a class of "filtered" schemes for first order time dependent Hamilton-Jacobi equations and prove a general convergence result for this class of schemes. A typical filte…