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Volumn 19, Issue 4, 2003, Pages 401-412

Two-step high order starting values for implicit Runge-Kutta methods

Author keywords

Hamiltonian systems; Runge Kutta Gauss methods; Starting algorithms

Indexed keywords


EID: 0038463693     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024281802353     Document Type: Article
Times cited : (8)

References (14)
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    • High order starting iterates for implicit Runge-Kutta methods: An improvement for variable-step symplectic integrators
    • M.P. Calvo, High order starting iterates for implicit Runge-Kutta methods: An improvement for variable-step symplectic integrators, IMA J. Numer. Anal. 22(1) (2002) 153-166.
    • (2002) IMA J. Numer. Anal. , vol.22 , Issue.1 , pp. 153-166
    • Calvo, M.P.1
  • 2
    • 0037284788 scopus 로고    scopus 로고
    • Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems
    • accepted for publication
    • M. Calvo, M.P. Laburta and J.I. Montijano, Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems, accepted for publication in Comput. Math. Appl.
    • Comput. Math. Appl.
    • Calvo, M.1    Laburta, M.P.2    Montijano, J.I.3
  • 4
    • 0000622670 scopus 로고
    • The development of variable-step symplectic integrators, with applications to the two-body problem
    • M.P. Calvo and J.M. Sanz-Serna, The development of variable-step symplectic integrators, with applications to the two-body problem, SIAM J. Sci. Comput. 14 (1993) 936-952.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 936-952
    • Calvo, M.P.1    Sanz-Serna, J.M.2
  • 5
    • 0040109314 scopus 로고
    • Construction of high order symplectic Runge-Kutta methods
    • S. Geng, Construction of high order symplectic Runge-Kutta methods, J. Comput. Math. 11(3) (1993) 250-260.
    • (1993) J. Comput. Math. , vol.11 , Issue.3 , pp. 250-260
    • Geng, S.1
  • 6
    • 0031270028 scopus 로고    scopus 로고
    • Variable time step integration with symplectic methods
    • E. Hairer, Variable time step integration with symplectic methods, Appl. Numer. Math. 25 (1997) 219-227.
    • (1997) Appl. Numer. Math. , vol.25 , pp. 219-227
    • Hairer, E.1
  • 9
    • 0031558498 scopus 로고    scopus 로고
    • Starting algorithms for IRK methods
    • M.P. Laburta, Starting algorithms for IRK methods, J. Comput. Appl. Math. 83 (1997) 269-288.
    • (1997) J. Comput. Appl. Math. , vol.83 , pp. 269-288
    • Laburta, M.P.1
  • 10
    • 0032046717 scopus 로고    scopus 로고
    • Construction of starting algorithms for the RK-Gauss methods
    • M.P. Laburta, Construction of starting algorithms for the RK-Gauss methods, J. Comput. Appl. Math. 90 (1998) 239-261.
    • (1998) J. Comput. Appl. Math. , vol.90 , pp. 239-261
    • Laburta, M.P.1
  • 11
    • 0001444647 scopus 로고    scopus 로고
    • Backward error analysis for numerical integrators
    • S. Reich, Backward error analysis for numerical integrators, SIAM J. Numer. Anal. 36 (1999) 1549-1570.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 1549-1570
    • Reich, S.1
  • 13
    • 0029229318 scopus 로고
    • Variable steps for reversible integration methods
    • D. Stoffer, Variable steps for reversible integration methods, Computing 55 (1995) 1-22.
    • (1995) Computing , vol.55 , pp. 1-22
    • Stoffer, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.