Key points are not available for this paper at this time.
We show that the possibly discontinuous solution of a scalar conservation law in one space dimension may be approximated in L¹ ({R}) to within O (N^{ - 2}) by a piecewise linear function with O (N) nodes; the nodes are moved according to the method of characteristics. We also show that a previous method of Dafermos, which uses piecewise constant approximations, is accurate to O (N^{ - 1}). These numerical methods for conservation laws are the first to have proven convergence rates of greater than O (N^{ - 1/2}).
Bradley J. Lucier (Wed,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: