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Volumn 100, Issue 2, 2005, Pages 211-232

Long-time averaging for integrable Hamiltonian dynamics

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EID: 17444370963     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0599-0     Document Type: Article
Times cited : (11)

References (13)
  • 1
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    • Small denominators and problems of stability of motion in classical and celestial mechanics
    • Arnold, V.I.: Small denominators and problems of stability of motion in classical and celestial mechanics. Russian Math. Surveys 18, 85-191 (1963)
    • (1963) Russian Math. Surveys , vol.18 , pp. 85-191
    • Arnold, V.I.1
  • 2
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Springer-Verlag, Berlin
    • Arnold, V.I.: Mathematical methods of classical mechanics. Volume 60 of Graduate Texts in Mathematics. Springer-Verlag, Berlin, 1978
    • (1978) Graduate Texts in Mathematics , vol.60
    • Arnold, V.I.1
  • 3
    • 17444413684 scopus 로고    scopus 로고
    • High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations
    • Submitted to
    • Cancès, E., Castella, F., Chattier, P., Faou, E., Le Bris, C., Legoll, F., Turinici, G.: High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations. Submitted to J. Chem. Phys., 2003
    • (2003) J. Chem. Phys.
    • Cancès, E.1    Castella, F.2    Chattier, P.3    Faou, E.4    Le Bris, C.5    Legoll, F.6    Turinici, G.7
  • 5
    • 1642495077 scopus 로고    scopus 로고
    • Geometric numerical integration
    • Springer-Verlag, Berlin, Structure-preserving algorithms for ordinary differential equations
    • Hairer, E., Lubich, C., Wanner, G.: Geometric numerical integration. Volume 31 of Springer Series in Computational Mathematics. Springer-Verlag, Berlin, 2002. Structure-preserving algorithms for ordinary differential equations
    • (2002) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 6
    • 0001246972 scopus 로고
    • On conservation of conditionally periodic motions under small perturbations of the Hamiltonian
    • Kolmogorov, A.N.: On conservation of conditionally periodic motions under small perturbations of the Hamiltonian. Dokl. Akad. Nauk SSSR 98, 527-530 (1954)
    • (1954) Dokl. Akad. Nauk SSSR , vol.98 , pp. 527-530
    • Kolmogorov, A.N.1
  • 7
    • 0001441814 scopus 로고
    • General theory of dynamical systems and classical mechanics
    • Kolmogorov, A.N.: General theory of dynamical systems and classical mechanics. Proc. Int. Congr. Math. Amsterdam 1954, Vol. 1, pp. 315-333
    • (1954) Proc. Int. Congr. Math. Amsterdam , vol.1 , pp. 315-333
    • Kolmogorov, A.N.1
  • 9
    • 84908024292 scopus 로고
    • An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems
    • Nekhoroshev, N.N.: An exponential estimate of the time of stability of nearly-integrable Hamiltonian systems. Russ. Math. Surveys 32, 1-65 (1977)
    • (1977) Russ. Math. Surveys , vol.32 , pp. 1-65
    • Nekhoroshev, N.N.1
  • 11
    • 0033442053 scopus 로고    scopus 로고
    • KAM theorem of symplectic algorithms for Hamiltonian systems
    • Shang, Z.: KAM theorem of symplectic algorithms for Hamiltonian systems. Numer. Math. 83, 477-496 (1999)
    • (1999) Numer. Math. , vol.83 , pp. 477-496
    • Shang, Z.1
  • 12
    • 0033628310 scopus 로고    scopus 로고
    • Resonant and Diophantine step sizes in computing invariant tori of Hamiltonian systems
    • Shang, Z.: Resonant and Diophantine step sizes in computing invariant tori of Hamiltonian systems. Nonlinearity 13 299-308 (2000)
    • (2000) Nonlinearity , vol.13 , pp. 299-308
    • Shang, Z.1
  • 13
    • 0001800622 scopus 로고
    • Higher-order decomposition theory of exponential operators and its applications to QMC and nonlinear dynamics
    • Computer Simulation Studies in Condensed-Matter Physics VI, Landau, Mon, Schüttler (eds.)
    • Suzuki, M., Umeno, K.: Higher-order decomposition theory of exponential operators and its applications to QMC and nonlinear dynamics. In: Computer Simulation Studies in Condensed-Matter Physics VI, Landau, Mon, Schüttler (eds.), Springer Proceedings in Physics 76, 74-86 (1993)
    • (1993) Springer Proceedings in Physics , vol.76 , pp. 74-86
    • Suzuki, M.1    Umeno, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.