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Volumn 34, Issue 5, 1997, Pages 1926-1947

Symplectic Methods Based on Decompositions

Author keywords

Additive Runge Kutta method; Splitting; Symplectic integration

Indexed keywords


EID: 0001379047     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995292128     Document Type: Article
Times cited : (57)

References (23)
  • 1
    • 84968496752 scopus 로고
    • Partitioned Runge-Kutta methods for separable Hamiltonian problems
    • L. ABIA AND J. M. SANZ-SERNA, Partitioned Runge-Kutta methods for separable Hamiltonian problems, Math. Comp., 60 (1993), pp. 617-634.
    • (1993) Math. Comp. , vol.60 , pp. 617-634
    • Abia, L.1    Sanz-Serna, J.M.2
  • 2
    • 0001737039 scopus 로고
    • Implicit-explicit methods for time-dependent partial differential equations
    • U. M. ASCHER, S. J. RUUTH, AND B. T. R. WETTON, Implicit-explicit methods for time-dependent partial differential equations, SIAM J. Numer. Anal., 32 (1995), pp. 797-823.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 797-823
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 3
    • 0001564321 scopus 로고
    • Dangers of multiple time step methods
    • J. J. BIESIADECKI AND R. D. SKEEL, Dangers of multiple time step methods, J. Comput. Phys., 109 (1993), pp. 318-328.
    • (1993) J. Comput. Phys. , vol.109 , pp. 318-328
    • Biesiadecki, J.J.1    Skeel, R.D.2
  • 5
    • 0347360814 scopus 로고
    • On fifth order Runge-Kutta methods
    • J. C. BUTCHER, On fifth order Runge-Kutta methods, BIT, 35 (1995), pp. 202-209.
    • (1995) BIT , vol.35 , pp. 202-209
    • Butcher, J.C.1
  • 7
    • 84966243678 scopus 로고
    • Additive methods for the numerical solution of ordinary differential equations
    • G. J. COOPER AND A. SAYFY, Additive methods for the numerical solution of ordinary differential equations, Math. Comp., 35 (1980), pp. 1159-1172.
    • (1980) Math. Comp. , vol.35 , pp. 1159-1172
    • Cooper, G.J.1    Sayfy, A.2
  • 8
    • 84966229401 scopus 로고
    • Additive Runge-Kutta methods for stiff ordinary differential equations
    • G. J. COOPER AND A. SAYFY, Additive Runge-Kutta methods for stiff ordinary differential equations, Math. Comp., 40 (1983), pp. 207-218.
    • (1983) Math. Comp. , vol.40 , pp. 207-218
    • Cooper, G.J.1    Sayfy, A.2
  • 9
    • 0001427533 scopus 로고
    • Order conditions for numerical methods for partitioned ordinary differential equations
    • E. HAIRER, Order conditions for numerical methods for partitioned ordinary differential equations, Numer. Math., 36 (1981), pp. 431-445.
    • (1981) Numer. Math. , vol.36 , pp. 431-445
    • Hairer, E.1
  • 10
    • 0000566698 scopus 로고
    • Backward analysis of numerical integrators and symplectic methods
    • E. HAIRER, Backward analysis of numerical integrators and symplectic methods, Ann. Numer. Math., 1 (1994), pp. 107-132.
    • (1994) Ann. Numer. Math. , vol.1 , pp. 107-132
    • Hairer, E.1
  • 11
    • 0038909687 scopus 로고
    • The non-existence of symplectic multiderivative Runge-Kutta methods
    • E. HAIRER, A. MURUA, AND J. M. SANZ-SERNA, The non-existence of symplectic multiderivative Runge-Kutta methods, BIT, 34 (1994), pp. 80-87.
    • (1994) BIT , vol.34 , pp. 80-87
    • Hairer, E.1    Murua, A.2    Sanz-Serna, J.M.3
  • 13
    • 0015960381 scopus 로고
    • On the Butcher group and general multivalue methods
    • E. HAIRER AND G. WANNER, On the Butcher group and general multivalue methods, Computing, 13 (1974), pp. 1-15.
    • (1974) Computing , vol.13 , pp. 1-15
    • Hairer, E.1    Wanner, G.2
  • 15
    • 0011615763 scopus 로고
    • Canonical Runge-Kutta methods
    • F. M. LASAGNI, Canonical Runge-Kutta methods, Z. Anzew. Math. Phys., 39 (1988), pp. 952-953.
    • (1988) Z. Anzew. Math. Phys. , vol.39 , pp. 952-953
    • Lasagni, F.M.1
  • 16
    • 0000194427 scopus 로고
    • On the numerical integration of ordinary differential equations by symmetric composition methods
    • R. I. McLACHLAN, On the numerical integration of ordinary differential equations by symmetric composition methods, SIAM J. Sci. Comput., 16 (1995), pp. 151-168.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 151-168
    • McLachlan, R.I.1
  • 18
    • 0013365236 scopus 로고    scopus 로고
    • On order conditions for partitioned symplectic methods
    • A. MURUA, On order conditions for partitioned symplectic methods, SIAM J. Numer. Anal., 34 (1997).
    • (1997) SIAM J. Numer. Anal. , vol.34
    • Murua, A.1
  • 19
    • 0038976122 scopus 로고
    • Runge-Kutta schemes for Hamiltonian problems
    • J. M. SANZ-SERNA, Runge-Kutta schemes for Hamiltonian problems, BIT, 28 (1988), pp. 877-883.
    • (1988) BIT , vol.28 , pp. 877-883
    • Sanz-Serna, J.M.1
  • 20
    • 84971897259 scopus 로고
    • Symplectic integrators for Hamiltonian problems: An overview
    • J. M. SANZ-SERNA, Symplectic integrators for Hamiltonian problems: An overview, Acta Numerica, 1 (1992), pp. 243-286.
    • (1992) Acta Numerica , vol.1 , pp. 243-286
    • Sanz-Serna, J.M.1
  • 21
    • 0026205717 scopus 로고
    • Order conditions for canonical Runge-Kutta schemes
    • J. M. SANZ-SERNA AND L. ABIA, Order conditions for canonical Runge-Kutta schemes, SIAM J. Numer. Anal., 28 (1991), pp. 1081-1096.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1081-1096
    • Sanz-Serna, J.M.1    Abia, L.2
  • 23
    • 0038041190 scopus 로고
    • The canonicity of mappings generated by Runge-Kutta type schemes when integrating the system ẍ = ∂U/∂x
    • Y. B. SURIS, The canonicity of mappings generated by Runge-Kutta type schemes when integrating the system ẍ=∂U/∂x, U.S.S.R. Comput. Math. and Math. Phys., 29 (1989), pp. 138-144.
    • (1989) U.S.S.R. Comput. Math. and Math. Phys. , vol.29 , pp. 138-144
    • Suris, Y.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.