AL-KHALED, K.: Cardinal-type approximations of Riemann solutions in balance laws

Saitama Mathematical Journal 1999(Vol. 17) pp.95-104

Abstract

This paper provides a technical description of the application of collocation interpolation methods based on Sinc functions to the balance laws with Riemann type conditions. Numerical results for the test problems presented sustain the exponential convergence rate of the method.
Keywords: balance laws, Riemann problem, Sinc functions, collocation