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Volumn 26, Issue 1 SPEC. ISS., 2006, Pages 34-59

Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

Author keywords

Energy conservation; Hamiltonian systems; Modulated Fourier expansion; Oscillatory solutions; Trigonometric methods

Indexed keywords

ENERGY CONSERVATION; NUMERICAL METHODS;

EID: 30344482244     PISSN: 02724979     EISSN: 14643642     Source Type: Journal    
DOI: 10.1093/imanum/dri020     Document Type: Article
Times cited : (27)

References (13)
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  • 2
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    • On some difficulties in integrating highly oscillatory Hamiltonian systems
    • Lecture Notes in Computational Science and Engineering. Berlin: Springer
    • ASCHER, U. & REICH, S. (1999b) On some difficulties in integrating highly oscillatory Hamiltonian systems. Computational Molecular Dynamics. Lecture Notes in Computational Science and Engineering, vol. 4, pp. 281-296. Berlin: Springer.
    • (1999) Computational Molecular Dynamics , vol.4 , pp. 281-296
    • Ascher, U.1    Reich, S.2
  • 3
    • 0011406472 scopus 로고
    • Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I
    • BENETTIN, G., GALGANI, L. & GIORGILLI, A. (1987) Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I. Commun. Math. Phys., 113, 87-103.
    • (1987) Commun. Math. Phys. , vol.113 , pp. 87-103
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3
  • 4
    • 33645212949 scopus 로고
    • Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II
    • BENETTIN, G., GALGANI, L. & GIORGILLI, A. (1989) Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II. Commun. Math. Phys., 121, 557-601.
    • (1989) Commun. Math. Phys. , vol.121 , pp. 557-601
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3
  • 6
    • 0345566264 scopus 로고    scopus 로고
    • Modulated Fourier expansions of highly oscillatory differential equations
    • COHEN, D., HAIRER, E. & LUBICH, C. (2003) Modulated Fourier expansions of highly oscillatory differential equations. Found. Comput. Math., 3, 327-345.
    • (2003) Found. Comput. Math. , vol.3 , pp. 327-345
    • Cohen, D.1    Hairer, E.2    Lubich, C.3
  • 7
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    • Numerical energy conservation for multi-frequency oscillatory differential equations
    • to appear
    • COHEN, D., HAIRER, E. & LUBICH, C. (2005) Numerical energy conservation for multi-frequency oscillatory differential equations. BIT (to appear).
    • (2005) BIT
    • Cohen, D.1    Hairer, E.2    Lubich, C.3
  • 8
    • 0041330504 scopus 로고    scopus 로고
    • Long-time energy conservation of numerical methods for oscillatory differential equations
    • HAIRER, E. & LUBICH, C. (2000) Long-time energy conservation of numerical methods for oscillatory differential equations. SIAM J. Numer. Anal., 38, 414-441.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 414-441
    • Hairer, E.1    Lubich, C.2
  • 11
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    • Longer time steps for molecular dynamics
    • IZAGUIRRE, J. A., REICH, S. & SKEEL, R. D. (1999) Longer time steps for molecular dynamics. J. Chem. Phys., 110, 9853-9864.
    • (1999) J. Chem. Phys. , vol.110 , pp. 9853-9864
    • Izaguirre, J.A.1    Reich, S.2    Skeel, R.D.3
  • 13
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    • Variational integrators for mechanical systems with configuration dependent inertia
    • Submitted to
    • SANYAL, A. K., SHEN, J. & MCCLAMROCH, N. H. (2005) Variational integrators for mechanical systems with configuration dependent inertia. Submitted to Numerical Methods in Engineering, under review (http://math.la.asu.edu/sanyal/research/research.html).
    • (2005) Numerical Methods in Engineering
    • Sanyal, A.K.1    Shen, J.2    Mcclamroch, N.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.