A NEW CLASS OF UNIFORMLY SECOND ORDER ACCURATE DIFFRENCE SCHEMES FOR 2D SCALAR CONSERVATION LAWS

摘要

In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws, we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By applying the conver- gence theorem of Coquel-Le Floch[1], the family of approximate solutions defined by the scheme is proven to converge to the unique entropy weak L_∞-solution.