要約

Integral transform solutions of convective-diffusive problems are examined and some computational enhancements are analyzed, in connection with the one-dimensional viscous Burgers equation with a periodic initial condition. The drastic influence of quadratures on the final numerical cost is established and guidelines on the extension of the optimizations to more involved situations are presented. A numerical experiment leading the solution of a viscous Burguers equation toward its inviscid (hyperbolic) counterpart is also performed.