FURTHER REDUCTION IN THE NUMBER OF INDEPENDENT ORDER CONDITIONS FOR SYMPLECTIC, EXPLICIT PARTITIONED RUNGE-KUTTA AND RUNGE-KUTTA-NYSTROM METHODS

被引:9
|
作者
CALVO, MP [1 ]
HAIRER, E [1 ]
机构
[1] UNIV GENEVA,DEPT MATH,CH-1211 GENEVA 24,SWITZERLAND
关键词
D O I
10.1016/0168-9274(95)00047-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We are concerned with symplectic Partitioned Runge-Kutta and Runge-Kutta-Nystrom methods for the numerical integration of Hamiltonian systems of ordinary differential equations. We show that for these methods, explicitness operates as a simplifying assumption for the study of the order conditions.
引用
收藏
页码:107 / 114
页数:8
相关论文
共 50 条
  • [1] Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nystrom methods
    Blanes, S
    Moan, PC
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 142 (02) : 313 - 330
  • [2] Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods Derived by Partitioned Runge-Kutta Methods
    Monovasilis, Th.
    Kalogiratou, Z.
    Simos, T. E.
    11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1181 - 1185
  • [3] Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods from Partitioned Runge-Kutta Methods
    Monovasilis, Th
    Kalogiratou, Z.
    Simos, T. E.
    INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2014 (ICCMSE 2014), 2014, 1618 : 843 - 849
  • [4] Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods from Partitioned Runge-Kutta Methods
    Monovasilis, T.
    Kalogiratou, Z.
    Simos, T. E.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 2271 - 2285
  • [5] Order properties of symplectic Runge-Kutta-Nystrom methods
    Xiao, AG
    Tang, YF
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 569 - 582
  • [6] Explicit symplectic partitioned Runge-Kutta-Nystrom methods for non-autonomous dynamics
    Diele, Fasma
    Marangi, Carmela
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (07) : 832 - 843
  • [7] SYMPLECTIC PARTITIONED RUNGE-KUTTA METHODS
    SUN, G
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 11 (04): : 365 - 372
  • [8] HIGH-ORDER SYMPLECTIC RUNGE-KUTTA-NYSTROM METHODS
    CALVO, MP
    SANZSERNA, JM
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (05): : 1237 - 1252
  • [9] ORDER CONDITIONS FOR CANONICAL RUNGE-KUTTA-NYSTROM METHODS
    CALVO, MP
    SANZSERNA, JM
    BIT, 1992, 32 (01): : 131 - 142
  • [10] Runge-Kutta-Nystrom symplectic splitting methods of order 8
    Blanes, S.
    Casas, F.
    Escorihuela-Tomas, A.
    APPLIED NUMERICAL MATHEMATICS, 2022, 182 : 14 - 27