Publications [#246906] of Jian-Guo Liu

Papers Published

1. Chen, GQ; Liu, JG, Convergence of second-order schemes for isentropic gas dynamics, Math. Comp., vol. 61 no. 204 (1993), pp. 607-629, AMER MATHEMATICAL SOC [doi]
   (last updated on 2025/02/21)

   Abstract:
   Convergence of a second-order shock-capturing scheme for the system of isentropic gas dynamics with L initial data is established by analyzing the entropy dissipation measures. This scheme is modified from the classical MUSCL scheme to treat the vacuum problem in gas fluids and to capture local entropy near shock waves. Convergence of this scheme for the piston problem is also discussed. © 1993 American Mathematical Society. ∞