116 citations · 815 across the 29 of their papers we have counts for
5 papers · 1 filter
Increasing efficiency through optimal RK time integration of diffusion equations
Fausto Cavalli, Giovanni Naldi, Gabriella Puppo +1
The application of Runge-Kutta schemes designed to enjoy a large region of absolute stability can significantly increase the efficiency of numerical methods for PDEs based on a met…
High order relaxed schemes for nonlinear reaction diffusion problems
Fausto Cavalli, Matteo Semplice
Different relaxation approximations to partial differential equations, including conservation laws, Hamilton-Jacobi equations, convection-diffusion problems, gas dynamics problems,…
A comparison between relaxation and Kurganov-Tadmor schemes
Fausto Cavalli, Giovanni Naldi, Gabriella Puppo +1
In this work we compare two semidiscrete schemes for the solution of hyperbolic conservation laws, namely the relaxation and the Kurganov Tadmor central scheme. We are particularly…
3D simulations of early blood vessel formation
F. Cavalli, A. Gamba, G. Naldi +3
Blood vessel networks form by spontaneous aggregation of individual cells migrating toward vascularization sites (vasculogenesis). A successful theoretical model of two dimensional…
High order relaxation schemes for non linear degenerate diffusion problems
Fausto Cavalli, Giovanni Naldi, Gabriella Puppo +1
Several relaxation approximations to partial differential equations have been recently proposed. Examples include conservation laws, Hamilton-Jacobi equations, convection-diffusion…