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Volumn 76, Issue 260, 2007, Pages 1941-1953

Numerical integrators based on modified differential equations

Author keywords

B series; Backward error analysis; Geometric numerical integration; Modified differential equation; Modifying integrator; Rigid body integrator; Substitution law

Indexed keywords


EID: 38849209079     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-07-01967-9     Document Type: Article
Times cited : (51)

References (14)
  • 1
    • 33746314863 scopus 로고
    • Symplectic integration of Hamiltonian systems
    • MR1054575 91g:58073
    • P. J. Channell and J. C. Scovel. Symplectic integration of Hamiltonian systems. Nonlinearity, 3:231-259, 1990. MR1054575 (91g:58073)
    • (1990) Nonlinearity , vol.3 , pp. 231-259
    • Channell, P.J.1    Scovel, J.C.2
  • 2
    • 33744742455 scopus 로고    scopus 로고
    • A substitution law for B-series vector fields
    • No. 5498
    • P. Chartier, E. Hairer, and G. Vilmart. A substitution law for B-series vector fields. INRIA Report, No. 5498, 2005.
    • (2005) INRIA Report
    • Chartier, P.1    Hairer, E.2    Vilmart, G.3
  • 4
    • 0001299089 scopus 로고
    • Difference schemes for Hamiltonian formalism and symplectic geometry
    • MR860157 88a:65094
    • K. Feng. Difference schemes for Hamiltonian formalism and symplectic geometry. J. Comp. Math., 4:279-289, 1986. MR860157 (88a:65094)
    • (1986) J. Comp. Math , vol.4 , pp. 279-289
    • Feng, K.1
  • 5
    • 0002961720 scopus 로고
    • Construction of canonical difference schemes for Hamiltonian formalism via generating functions
    • MR1017182 90j:58043
    • K. Feng, H. M. Wu, M.-Z. Qin, and D. L. Wang. Construction of canonical difference schemes for Hamiltonian formalism via generating functions. J. Comp. Math., 7:71-96, 1989. MR1017182 (90j:58043)
    • (1989) J. Comp. Math , vol.7 , pp. 71-96
    • Feng, K.1    Wu, H.M.2    Qin, M.-Z.3    Wang, D.L.4
  • 6
    • 38849133086 scopus 로고    scopus 로고
    • Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations
    • Springer-Verlag, Berlin, second edition, MR2221614 2006m:65006
    • E. Hairer, C. Lubich, and G. Wanner. Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations. Springer Series in Computational Mathematics 31. Springer-Verlag, Berlin, second edition, 2006. MR2221614 (2006m:65006)
    • (2006) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 7
    • 33947244421 scopus 로고    scopus 로고
    • Preprocessed discrete Moser-Veselov algorithm for the full dynamics of the free rigid body
    • MR2266054
    • E. Hairer and G. Vilmart. Preprocessed discrete Moser-Veselov algorithm for the full dynamics of the free rigid body. J. Phys. A 39 (2006), no. 42, 13225-13235. MR2266054
    • (2006) J. Phys. A , vol.39 , Issue.42 , pp. 13225-13235
    • Hairer, E.1    Vilmart, G.2
  • 8
    • 0015960381 scopus 로고
    • On the Butcher group and general multi-value methods
    • MR0403225 53:7037
    • E. Hairer and G. Wanner. On the Butcher group and general multi-value methods. Computing, 13:1-15, 1974. MR0403225 (53:7037)
    • (1974) Computing , vol.13 , pp. 1-15
    • Hairer, E.1    Wanner, G.2
  • 10
    • 85140866371 scopus 로고    scopus 로고
    • A new implementation of symplectic Runge-Kutta methods
    • To appear in
    • R. I. McLachlan. A new implementation of symplectic Runge-Kutta methods. To appear in SIAM J. Sci. Comput.
    • SIAM J. Sci. Comput
    • McLachlan, R.I.1
  • 11
    • 24944435508 scopus 로고    scopus 로고
    • The discrete Moser-Veselov algorithm for the free rigid body, revisited
    • MR2125692 2005k:37189
    • R. I. McLachlan and A. Zanna. The discrete Moser-Veselov algorithm for the free rigid body, revisited. Found. Comput. Math., 5:87-123, 2005. MR2125692 (2005k:37189)
    • (2005) Found. Comput. Math , vol.5 , pp. 87-123
    • McLachlan, R.I.1    Zanna, A.2
  • 12
    • 38849141858 scopus 로고    scopus 로고
    • A. Murua. Métodos simplécticos desarrollabes en P-series. Ph.D. thesis, Univ. Valladolid, 1994.
    • A. Murua. Métodos simplécticos desarrollabes en P-series. Ph.D. thesis, Univ. Valladolid, 1994.
  • 14
    • 38849139889 scopus 로고    scopus 로고
    • A note on the implicit midpoint rule and the Euler equations for the rigid body. Private communication, 2005
    • A. Zanna. A note on the implicit midpoint rule and the Euler equations for the rigid body. Private communication, 2005.
    • Zanna, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.