메뉴 건너뛰기




Volumn 83, Issue 1-4, 2002, Pages 355-364

Non-existence of the modified first integral by symplectic integration methods II: Kepler problem

Author keywords

Kepler problem; Modified first integral; Modified Hamiltonian; Runge Lenz vector; Symplectic integration method

Indexed keywords


EID: 0036375720     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020158625544     Document Type: Article
Times cited : (17)

References (11)
  • 1
    • 21344491735 scopus 로고
    • On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
    • Benettin, G. and Giorgilli, A.: 1994, 'On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms', J. Statist. Phys. 74, 1117-1143.
    • (1994) J. Statist. Phys. , vol.74 , pp. 1117-1143
    • Benettin, G.1    Giorgilli, A.2
  • 3
    • 0000566698 scopus 로고
    • Backward analysis of numerical integration and symplectic methods
    • Hairer, E.: 1994, 'Backward analysis of numerical integration and symplectic methods', Ann. Numer. Math. 1, 107-132.
    • (1994) Ann. Numer. Math. , vol.1 , pp. 107-132
    • Hairer, E.1
  • 4
    • 0031505057 scopus 로고    scopus 로고
    • The lifespan of backward error analysis for numerical integrators
    • Hairer, E. and Lubich, C.: 1997, 'The lifespan of backward error analysis for numerical integrators', Numer. Math. 76, 441-462.
    • (1997) Numer. Math. , vol.76 , pp. 441-462
    • Hairer, E.1    Lubich, C.2
  • 7
    • 0001444647 scopus 로고    scopus 로고
    • Backward error analysis for numerical integrators
    • Reich, S.: 1999, 'Backward error analysis for numerical integrators', SIAM J. Numer. Anal. 36, 1549-1570.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1549-1570
    • Reich, S.1
  • 10
    • 0040114714 scopus 로고
    • Recent progress in the theory and application of symplectic integrators
    • Yoshida, H.: 1993, 'Recent progress in the theory and application of symplectic integrators', Celest. Mech. & Dyn. Astr. 56, 27-43.
    • (1993) Celest. Mech. & Dyn. Astr. , vol.56 , pp. 27-43
    • Yoshida, H.1
  • 11
    • 0035938234 scopus 로고    scopus 로고
    • Non-existence of the modified first integral by symplectic integration methods
    • Yoshida, H.: 2001, 'Non-existence of the modified first integral by symplectic integration methods', Phys. Lett. A 282, 276-283.
    • (2001) Phys. Lett. A , vol.282 , pp. 276-283
    • Yoshida, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.