Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
From author's summary: We show that an improved approximation of Hugoniot relations across unsteady shock front requires a shock-capturing finite difference scheme with higher-order accuracy, and, by applying a stabilization method, we obtain sufficient conditions to construct a weak approximation by using this scheme.
shock-capturing finite difference scheme
scientific article; zbMATH DE number 1779347