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Volumn 55, Issue 4, 2015, Pages 927-948

Order conditions for G-symplectic methods

Author keywords

Conformability; G symplectic methods; Order conditions; Rooted trees; Trees

Indexed keywords


EID: 84921889077     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/s10543-014-0541-x     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 84968503738 scopus 로고
    • The order of numerical methods for ordinary differential equations
    • Butcher, J.C.: The order of numerical methods for ordinary differential equations. Math. Comp. 27, 793–806 (1973)
    • (1973) Math. Comp. , vol.27 , pp. 793-806
    • Butcher, J.C.1
  • 2
    • 33646816440 scopus 로고    scopus 로고
    • General linear methods
    • Butcher, J.C.: General linear methods. Acta Numer. 15, 157–256 (2006)
    • (2006) Acta Numer. , vol.15 , pp. 157-256
    • Butcher, J.C.1
  • 6
    • 0000465701 scopus 로고
    • An easily implementable fourth-order method for the time integration of wave problems
    • de Frutos, J., Sanz-Serna, J.M.: An easily implementable fourth-order method for the time integration of wave problems. J. Comput. Phys. 103, 160–168 (1992)
    • (1992) J. Comput. Phys. , vol.103 , pp. 160-168
    • de Frutos, J.1    Sanz-Serna, J.M.2
  • 8
    • 84991959953 scopus 로고    scopus 로고
    • Imran, G.: Accurate and efficient methods for differential systems with special structures. PhD. Thesis, University of Auckland, NZ
    • Imran, G.: Accurate and efficient methods for differential systems with special structures. PhD. Thesis, University of Auckland, NZ
  • 10
    • 0038976122 scopus 로고
    • Runge–Kutta schemes for Hamiltonian systems
    • Sanz-Serna, J.M.: Runge–Kutta schemes for Hamiltonian systems. BIT 28, 877–883 (1988)
    • (1988) BIT , vol.28 , pp. 877-883
    • Sanz-Serna, J.M.1
  • 11
    • 84971897259 scopus 로고
    • Symplectic integrators for Hamiltonian problems
    • Sanz-Serna, J.M.: Symplectic integrators for Hamiltonian problems. Acta Numer. 1, 243–286 (1992)
    • (1992) Acta Numer. , vol.1 , pp. 243-286
    • Sanz-Serna, J.M.1
  • 12
    • 0026205717 scopus 로고
    • Order conditions for canonical Runge–Kutta schemes
    • Sanz-Serna, J.M., Abia, L.: Order conditions for canonical Runge–Kutta schemes. SIAM J Numer. Anal. 28, 1081–1096 (1991)
    • (1991) SIAM J Numer. Anal. , vol.28 , pp. 1081-1096
    • Sanz-Serna, J.M.1    Abia, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.