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ENO-Runge-Kutta discretization

One beginner's question about discretization of a Hamilton-Jacobi equation(non-linear) $$ u_t = H(u_x) $$ $u_x$ is discreated with 2nd order ENO-FD 1st order: $D_1^{\pm}u = \pm [u_{x\pm1} - u_x ] / \...
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