A preliminary study of the theoretic analysis of the spectral volume method for hyperbolic equations
Speaker
Prof. Qing-Song Zou
Sun Yat-sen University
Abstract

In this talk, we shall present our very recent study on the theoretic analysis of the spectral volume method for hyperbolic equations. First, we will recall some theoretic tools developed in our recent analysis of high order finite volume methods for elliptic equations. Secondly, we will apply the previous tools to analyze the spectral volume method for the linear 1D scalar hyperbolic equation. Finally, we will present the L2 norm optimal order convergence and superconvergence of SV method for the linear 1D scalar hyperbolic equation. This talk is based on a joint work with Waixiang Cao at Beijing  Normal University.
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