메뉴 건너뛰기




Volumn 23, Issue 5, 2006, Pages 758-766

Analysis and application of multiple-precision computation and round-off error for nonlinear dynamical systems

Author keywords

Multiple precision numerical calculation; Nonlinear dynamical system; Round off error

Indexed keywords


EID: 33750732337     PISSN: 02561530     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00376-006-0758-y     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0040960789 scopus 로고    scopus 로고
    • Rigorous error bounds for RK methods in the proof of chaotic behavior
    • Berger, A., 1999: Rigorous error bounds for RK methods in the proof of chaotic behavior. Journal of Computational and Applied Mathematics, 111(1-2), 13-24.
    • (1999) Journal of Computational and Applied Mathematics , vol.111 , Issue.1-2 , pp. 13-24
    • Berger, A.1
  • 2
    • 0040382006 scopus 로고
    • Stochastic approach of the permutation-perturbation method for round-off error analysis
    • Faye, J. P., and J. Vignes, 1985: Stochastic approach of the permutation-perturbation method for round-off error analysis. Applied Numerical Mathematics, 1(4), 349-362.
    • (1985) Applied Numerical Mathematics , vol.1 , Issue.4 , pp. 349-362
    • Faye, J.P.1    Vignes, J.2
  • 6
    • 0042409330 scopus 로고    scopus 로고
    • Computational uncertainty principle in nonlinear ordinary differential equations - I Numerical Results
    • (Series E)
    • Li Jianping, Zeng Qingcun, and Chou Jifan, 2000: Computational uncertainty principle in nonlinear ordinary differential equations - I Numerical Results. Science in China (Series E), 43(5), 449-461.
    • (2000) Science in China , vol.43 , Issue.5 , pp. 449-461
    • Li, J.1    Zeng, Q.2    Chou, J.3
  • 7
    • 0035245844 scopus 로고    scopus 로고
    • Computational uncertainty principle in nonlinear ordinary differential equations - II Theoretical analysis
    • (Series E)
    • Li Jianping, Zeng Qingcun, and Chou Jifan, 2001: Computational uncertainty principle in nonlinear ordinary differential equations - II Theoretical analysis. Science in China (Series E), 44(1), 55-74.
    • (2001) Science in China , vol.44 , Issue.1 , pp. 55-74
    • Li, J.1    Zeng, Q.2    Chou, J.3
  • 8
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz, E. N., 1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130-141
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 9
    • 0030268948 scopus 로고    scopus 로고
    • Rigorous error analysis of numerical algorithms via symbolic computations
    • Mrozek, M., 1996: Rigorous error analysis of numerical algorithms via symbolic computations. Journal of Symbolic Computation, 22, 435-458.
    • (1996) Journal of Symbolic Computation , vol.22 , pp. 435-458
    • Mrozek, M.1
  • 10
    • 33750723700 scopus 로고
    • A stochastic approach to global error estimation in ODE multistep numerical integration
    • Neto, A. R., and K. R. Rao, 1990: A stochastic approach to global error estimation in ODE multistep numerical integration. Journal of Computational and Applied Mathematics, 30(3), 257-281.
    • (1990) Journal of Computational and Applied Mathematics , vol.30 , Issue.3 , pp. 257-281
    • Neto, A.R.1    Rao, K.R.2
  • 11
    • 0025446847 scopus 로고
    • MP-A multiple precision package
    • Oyanarte, P., 1990: MP-A multiple precision package. Computer Physics Communications, 59(2), 345-358.
    • (1990) Computer Physics Communications , vol.59 , Issue.2 , pp. 345-358
    • Oyanarte, P.1
  • 14
    • 0024135617 scopus 로고
    • Review on stochastic approach to round-off error analysis and its applications
    • Vignes, J., 1988: Review on stochastic approach to round-off error analysis and its applications. Mathematics and Computers in Simulation, 30(6), 481-491.
    • (1988) Mathematics and Computers in Simulation , vol.30 , Issue.6 , pp. 481-491
    • Vignes, J.1
  • 15
    • 38249002969 scopus 로고
    • A stochastic arithmetic for reliable scientific computation
    • Vignes, J., 1993: A stochastic arithmetic for reliable scientific computation. Mathematics and Computers in Simulation, 35(3), 233-261.
    • (1993) Mathematics and Computers in Simulation , vol.35 , Issue.3 , pp. 233-261
    • Vignes, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.