A comparison between relaxation and Kurganov-Tadmor schemes
  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 interested in their behavior under small time steps, in view of future applications to convection diffusion problems. The schemes are tested on two benchmark problems, with one space variable. 
Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice