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Volumn 39, Issue 1, 1999, Pages 25-33

Asymptotic error analysis of the adaptive verlet method

Author keywords

Adaptive Verlet method; Asymptotic expansions; Backward error analysis; Hamiltonian systems; Sundman time transformations; Time reversible variable stepsizes

Indexed keywords


EID: 0002586723     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022313123291     Document Type: Article
Times cited : (15)

References (10)
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    • Automatic Differentiation of Algorithms. Theory, Implementation, and Application
    • Philadelphia, PA
    • G. F. Corliss and A. Griewank, eds., Automatic Differentiation of Algorithms. Theory, Implementation, and Application, SIAM, Philadelphia, PA, 1991.
    • (1991) SIAM
    • Corliss, G.F.1    Griewank, A.2
  • 3
    • 0031270028 scopus 로고    scopus 로고
    • Variable timestep integration with symplectic methods
    • E. Hairer, Variable timestep integration with symplectic methods, Appl. Numer. Math. 25 (1997), pp. 219-227.
    • (1997) Appl. Numer. Math. , vol.25 , pp. 219-227
    • Hairer, E.1
  • 4
    • 0012912813 scopus 로고
    • Solving Ordinary Differential Equations I. Nonstiff Problems
    • 2nd ed., Springer-Verlag, Berlin
    • E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems, Springer Series in Comput. Math., vol. 8, 2nd ed., Springer-Verlag, Berlin, 1993.
    • (1993) Springer Series in Comput. Math. , vol.8
    • Hairer, E.1    Nørsett, S.P.2    Wanner, G.3
  • 5
    • 0001449110 scopus 로고    scopus 로고
    • Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems
    • 2nd ed., Springer-Verlag, Berlin
    • E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Springer Series in Comput. Math., vol. 14, 2nd ed., Springer-Verlag, Berlin, 1996.
    • (1996) Springer Series in Comput. Math. , vol.14
    • Hairer, E.1    Wanner, G.2
  • 9
    • 0001444647 scopus 로고    scopus 로고
    • Backward error analysis for numerical integrators
    • to appear
    • S. Reich, Backward error analysis for numerical integrators, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Reich, S.1
  • 10
    • 0029229318 scopus 로고
    • Variable steps for reversible integration methods
    • D. Stoffer, Variable steps for reversible integration methods, Computing 55 (1995), pp. 1-22.
    • (1995) Computing , vol.55 , pp. 1-22
    • Stoffer, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.