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Volumn 220, Issue 1-3, 1996, Pages 63-69

Partitioned Runge-Kutta methods as phase volume preserving integrators

Author keywords

[No Author keywords available]

Indexed keywords

EXPLICIT METHOD; M METHOD; PARTITIONED RUNGE-KUTTA METHOD; PHASE VOLUME; SYMPLECTIC; VOLUME PRESERVATION;

EID: 0009032183     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00500-2     Document Type: Article
Times cited : (11)

References (27)
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    • (1987) Zh. Vychisl. Mat. Mat. Fiz. , vol.27 , pp. 1504
    • Suris, Yu.B.1
  • 3
    • 6144267603 scopus 로고
    • Yu.B. Suris, Zh. Vychisl. Mat. Mat. Fiz. 27 (1987) 1504 [USSR Comput. Math. Math. Phys. 27 (1987) 149]; Zh. Vychisl. Mat. Mat. Fiz. 31 (1991) 52 [USSR Comput. Math. Math. Phys. 31 (1991) 36].
    • (1987) USSR Comput. Math. Math. Phys. , vol.27 , pp. 149
  • 4
    • 0042976692 scopus 로고
    • Yu.B. Suris, Zh. Vychisl. Mat. Mat. Fiz. 27 (1987) 1504 [USSR Comput. Math. Math. Phys. 27 (1987) 149]; Zh. Vychisl. Mat. Mat. Fiz. 31 (1991) 52 [USSR Comput. Math. Math. Phys. 31 (1991) 36].
    • (1991) Zh. Vychisl. Mat. Mat. Fiz. , vol.31 , pp. 52
  • 5
    • 0042475780 scopus 로고
    • Yu.B. Suris, Zh. Vychisl. Mat. Mat. Fiz. 27 (1987) 1504 [USSR Comput. Math. Math. Phys. 27 (1987) 149]; Zh. Vychisl. Mat. Mat. Fiz. 31 (1991) 52 [USSR Comput. Math. Math. Phys. 31 (1991) 36].
    • (1991) USSR Comput. Math. Math. Phys. , vol.31 , pp. 36
  • 11
    • 0011615036 scopus 로고
    • The Lie group structure of diffeomorphism groups and invertible Fourier integral operators, with applications
    • ed. V.G. Kac Springer, Berlin
    • M. Adams, T. Ratiu and R. Schmid, The Lie group structure of diffeomorphism groups and invertible Fourier integral operators, with applications, in: Infinite dimensional groups with applications, ed. V.G. Kac (Springer, Berlin, 1985).
    • (1985) Infinite Dimensional Groups with Applications
    • Adams, M.1    Ratiu, T.2    Schmid, R.3
  • 14
    • 0041473970 scopus 로고
    • in Russian
    • Yu.B. Suris, Math. Model. 2 (1990) 78 [in Russian].
    • (1990) Math. Model , vol.2 , pp. 78
    • Suris, Yu.B.1
  • 15
    • 0040419824 scopus 로고
    • The numerical integration of Hamiltonian systems
    • eds. J.R. Cash and I. Gladwell Clarendon, Oxford
    • J.M. Sanz-Serna, The numerical integration of Hamiltonian systems, in: Computational ordinary differential equations, eds. J.R. Cash and I. Gladwell (Clarendon, Oxford, 1992) pp. 437-449.
    • (1992) Computational Ordinary Differential Equations , pp. 437-449
    • Sanz-Serna, J.M.1
  • 18
    • 0042475779 scopus 로고
    • On the conservation of symplectic structure in the course of numerical integration of Hamiltonian systems
    • ed. S. Filippov Keldysh Inst. of Appl. Math., Moscow, in Russian
    • Yu.B. Suris, On the conservation of symplectic structure in the course of numerical integration of Hamiltonian systems, in: Numerical solution of differential equations, ed. S. Filippov (Keldysh Inst. of Appl. Math., Moscow, 1988) pp. 148-160 [in Russian]; Zh. Vychisl. Mat. Mat. Fiz. 29 (1989) 202 [USSR Comput. Math. Math. Phys. 29 (1989) 138].
    • (1988) Numerical Solution of Differential Equations , pp. 148-160
    • Suris, Yu.B.1
  • 19
    • 0037747984 scopus 로고
    • Yu.B. Suris, On the conservation of symplectic structure in the course of numerical integration of Hamiltonian systems, in: Numerical solution of differential equations, ed. S. Filippov (Keldysh Inst. of Appl. Math., Moscow, 1988) pp. 148-160 [in Russian]; Zh. Vychisl. Mat. Mat. Fiz. 29 (1989) 202 [USSR Comput. Math. Math. Phys. 29 (1989) 138].
    • (1989) Zh. Vychisl. Mat. Mat. Fiz. , vol.29 , pp. 202
  • 20
    • 0038041190 scopus 로고
    • Yu.B. Suris, On the conservation of symplectic structure in the course of numerical integration of Hamiltonian systems, in: Numerical solution of differential equations, ed. S. Filippov (Keldysh Inst. of Appl. Math., Moscow, 1988) pp. 148-160 [in Russian]; Zh. Vychisl. Mat. Mat. Fiz. 29 (1989) 202 [USSR Comput. Math. Math. Phys. 29 (1989) 138].
    • (1989) USSR Comput. Math. Math. Phys. , vol.29 , pp. 138
  • 22
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    • D. Okunbor and R.D. Skeel, SIAM J. Numer. Anal. 29 (1992) 521; Math. Comput. 59 (1992) 439.
    • (1992) Math. Comput. , vol.59 , pp. 439


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.