Lili Hu

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We further study the properties of the back and forth error compensation and correction (BFECC) method for advection equations such as those related to the level set method and for solving Hamilton-Jacobi equations on unstructured meshes. In particular, we develop a new limiting strategy which requires another backward advection in time so that(More)
A new stochastic simulation algorithm, named the Hashing-Leaping (HL) algorithm, for exact simulations of a class of Markov jump processes, is presented in this paper. The HL algorithm has constant computational cost per event, which is independent of the number of exponential clocks in the Markov process. The main idea of the HL algorithm is to repeatedly(More)