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In this article, we present an improved third‐order finite difference weighted essentially nonoscillatory (WENO) scheme to promote the order of convergence at critical points for the hyperbolic conservation laws. The improved WENO scheme is an extension of WENO‐ZQ scheme. However, the global smoothness indicator has a little different from WENO‐ZQ scheme. In this follow‐up article, a convex combination...
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