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Volumn 44, Issue , 2005, Pages 241-261

Multiple time scale numerical methods for the inverted pendulum problem

Author keywords

Averaging; Multiscale; Ordinary differential equation

Indexed keywords

DIFFERENCE EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PENDULUMS;

EID: 84880280809     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-26444-2_13     Document Type: Article
Times cited : (24)

References (10)
  • 1
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multi-scale methods
    • Weinan E and Bjorn Engquist. The heterogeneous multi-scale methods. Comm. Math. Sci., 1(1):87-133, 2003.
    • (2003) Comm. Math. Sci , vol.1 , Issue.1 , pp. 87-133
    • Weinan, E.1    Engquist, B.2
  • 2
    • 84880322686 scopus 로고    scopus 로고
    • Multiscale modeling of the dynamics of solids at finite temperature Submitted
    • Xiantao Li and Weinan E. Multiscale modeling of the dynamics of solids at finite temperature. Submitted to J. Mech. Phys. of Solids, 2004.
    • (2004) J. Mech. Phys. of Solids
    • Li, X.1    Weinan, E.2
  • 4
    • 0032226405 scopus 로고    scopus 로고
    • Long-time-step methods for oscillatory differential equations
    • (electronic)
    • B. García-Archilla, J. M. Sanz-Serna, and R. D. Skeel. Long-time-step methods for oscillatory differential equations. SIAM J. Sci. Comput., 20(3):930-963 (electronic), 1999.
    • (1999) SIAM J. Sci. Comput , vol.20 , Issue.3 , pp. 930-963
    • García-Archilla, B.1    Sanz-Serna, J.M.2    Skeel, R.D.3
  • 5
    • 0038885338 scopus 로고
    • Automatic methods for highly oscillatory ordinary differential equations
    • Springer, Berlin
    • C. W. Gear and K. A. Gallivan. Automatic methods for highly oscillatory ordinary differential equations. In Numerical analysis (Dundee, 1981), volume 912 of Lecture Notes in Math., pages 115-124. Springer, Berlin, 1982.
    • (1982) Numerical Analysis (Dundee, 1981) of Lecture Notes In Math , vol.912 , pp. 115-124
    • Gear, C.W.1    Gallivan, K.A.2
  • 6
    • 0021554296 scopus 로고
    • Multirate linear multistep methods
    • C. W. Gear and D. R. Wells. Multirate linear multistep methods. BIT, 24(4):484-502, 1984.
    • (1984) BIT , vol.24 , Issue.4 , pp. 484-502
    • Gear, C.W.1    Wells, D.R.2
  • 8
    • 0002105056 scopus 로고    scopus 로고
    • A reversible averaging integrator for multiple timescale dynamics
    • Ben Leimkuhler and Sebastian Reich. A reversible averaging integrator for multiple timescale dynamics. J. Comput. Phys., 171(1):95-114, 2001.
    • (2001) J. Comput. Phys , vol.171 , Issue.1 , pp. 95-114
    • Leimkuhler, B.1    Reich, S.2
  • 9
    • 0001900679 scopus 로고    scopus 로고
    • Geometry and physics of averaging with applications
    • Mark Levi. Geometry and physics of averaging with applications. Phys. D, 132(1-2):150-164, 1999.
    • (1999) Phys. D , vol.132 , Issue.1-2 , pp. 150-164
    • Levi, M.1
  • 10
    • 0000443297 scopus 로고
    • An efficient numerical method for highly oscillatory ordinary differential equations
    • Linda R. Petzold. An efficient numerical method for highly oscillatory ordinary differential equations. SIAM J. Numer. Anal., 18(3):455-479, 1981.
    • (1981) SIAM J. Numer. Anal , vol.18 , Issue.3 , pp. 455-479
    • Petzold, L.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.