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  1. (, AIMS on Applied Mathematics)
    Bressan, A; Lewicka, M; Wang, D.; Zheng, Y.X. (Ed.)
    In this paper we review the algorithm development in high order methods for some conservation laws. The emphasis is on our recent contribution in the study of two model classes: Fokker-Planck-type equations and hyperbolic conservation law systems. For the former we will review free-energy-satisfying and positivity-preserving schemes. For the later we will review the general invariant-region-preserving (IRP) limiter, and its application to high order methods for multi-dimensional hyperbolic systems of conservation laws. 
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