Abstract
The Random Choice Method for single scalar conservation laws is examined, and an approximate Riemann solver is constructed. The construction is accomplished using a result of Dafermos regarding the solution of a single conservation law with a general convection term. The algorithm is described and numerical results for the Random Choice Method with the approximate Riemann solver are compared to those using an exact solution to the Riemann problem. The approximate Riemann solver gives results similar to those obtained with the exact Riemann solver. It is easier to implement with a general convection term but does require more cpu time.
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