[1] Bandrauk A D, Shen H[J]. J. Phys. A: Gen. Phys., 27, 7147(1994).
[2] Yoshida H[J]. Phys. Lett. A, 150, 262(1990).
[3] Wang T C, Guo B L, Xu Q B[J]. J. Comput. Phys., 243, 382(2013).
[4] Cheng R J, Cheng Y M[J]. Chin. Phys. B, 25, 020203(2016).
[5] Wang D S, Xue Y S, Zhang Z F[J]. Rom. J. Phys., 61, 827(2016).
[6] Bao W Z, Wang H Q[J]. J. Comput. Phys., 217, 612(2006).
[7] Bao W Z, Shen J[J]. SIAM J. Sci. Comput., 26, 2010(2005).
[8] Wang H Q[J]. Appl. Math. Comput., 170, 17(2005).
[9] Chen R Y, Nie L R, Chen C Y[J]. Chaos, 28, 053115(2018).
[10] Chen RY, Nie L R, Chen C Y, Wang C J[J]. J. Stat. Mech., 2017, 013201(2017).
[11] Chen R Y, Pan W L, Zhang J Q, Nie L R[J]. Chaos, 26, 093113(2016).
[12] Chen R Y, Tong L M, Nie L R, Wang C I, Pan W[J]. Physica A, 468, 532(2017).
[13] Gao Y L, Mei L Q[J]. Appl. Numer. Math., 109, 41(2016).
[14] Xu Y, Shu C W[J]. J. Comput. Phys., 205, 72-97(2005).
[15] Jiang T, Chen Z C, Lu W G, Yuan J Y, Wang D S[J]. Comput. Phys. Commun., 231, 19(2018).
[16] Liu M B, Liu G R[J]. Arch. Comput. Meth. Eng., 17, 25(2010).
[17] Jiang T, Chen Z C, Ren J L, Li G[J]. Acta Phys. Sin., 66, 130201(2017).
[18] Chen J K, Beraun J E[J]. Comput. Meth. Appl. Mech. Eng., 190, 225(2000).
[19] Liu G R, Liu M B 2003 Smoothed Particle Hydrodynamics: A Mesh-free Particle Method (Singapore: World Scientific)
[21] Ren J L, Jiang T, Lu W G, Li G[J]. Comput. Phys. Commun., 205, 87(2016).
[22] Liu M B, Chang J Z[J]. Acta Phys. Sin., 59, 3654(2010).
[23] Sun P N, Colagrosso A, Marrone S, Zhang A M[J]. Comput. Meth. Appl. Mech. Eng., 305, 849(2016).
[24] Huang C, Lei J M, Liu M B, Peng X Y[J]. Int. J. Numer. Methods Fluids, 78, 691(2015).
[25] Huang C, Zhang D H, Shi Y X, Si Y L, Huang B[J]. Int. J. Numer. Meth. Eng., 113, 179(2018).
[26] Weideman J A C, Herbst B M[J]. SIAM J. Numer. Anal., 23, 485(1986).
