A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

It is well known that finite difference or finite volume total variation diminishing (TVD) schemes solving one-dimensional scalar conservation laws degenerate to first order accuracy at smooth extrema [S. Osher and S. Chakravarthy, SIAM J. Numer. Anal., 21 (1984), pp. 955

• Type: Journal
• Year: 2010
• Where: SIAMNUM
• Authors: Xiangxiong Zhang, Chi-Wang Shu
• Keywords: Finite Volume, Finite Volume Scheme, SIAMNUM 2010, Total Variation