参考文献

1

J.A.Smoller, “Shock waves and reaction-diffusion equations”, 2nd ed. Springer, 1994.

2

Ding Xiaxi, Chen Guiqiang, and Luo Peizhu, Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics (I), Acta Mathematica Scientia 5, 415-432 (1985).

3

F.Bouchut, “Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources”, Birkhäuser, 2004.

4

R.J.LeVeque, “Numerical Methods for conservation laws”, 2nd ed. Birkhäuser, 1992.