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Volumn 17, Issue 2, 1997, Pages 151-175

Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; NONLINEAR EQUATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; STABILITY;

EID: 0031478823     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.2.151     Document Type: Article
Times cited : (4)

References (18)
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    • (1986) Matrizentheorie
    • Gantmacher, F.R.1
  • 5
    • 0000454723 scopus 로고
    • On spurious asymptotic solutions of explicit Runge-Kutta methods
    • GRIFFITHS, D. F., SWEBY, P. K., & YEE, H. C. 1992 On spurious asymptotic solutions of explicit Runge-Kutta methods. IMA J. Numer. Anal. 12, 319-338.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 319-338
    • Griffiths, D.F.1    Sweby, P.K.2    Yee, H.C.3
  • 7
    • 0011660230 scopus 로고
    • Spurious solutions of numerical methods for initial value problems
    • HUMPHRIES, A. R. 1993 Spurious solutions of numerical methods for initial value problems. IMA J. Numer. Anal. 13, 263-290.
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 263-290
    • Humphries, A.R.1
  • 9
    • 0002959217 scopus 로고
    • Stability and dynamics of numerical methods for nonlinear ordinary differential equations
    • ISERLES, A. 1990 Stability and dynamics of numerical methods for nonlinear ordinary differential equations. IMA J. Numer. Anal. 10, 1-30.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 1-30
    • Iserles, A.1
  • 10
    • 0026402428 scopus 로고
    • A unified approach to spurious solutions introduced by time discretisation. Part I: Basic theory
    • ISERLES, A., PEPLOW, A. T., & STUART, A. M. 1991 A unified approach to spurious solutions introduced by time discretisation. Part I: basic theory. SIAM J. Numer. Anal. 28, 1723-1751.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1723-1751
    • Iserles, A.1    Peplow, A.T.2    Stuart, A.M.3
  • 11
    • 21144460411 scopus 로고
    • Unified approach to spurious solutions introduced by time discretization. Part II: BDF-like methods
    • ISERLES, A., & STUART, A. M. 1992 Unified approach to spurious solutions introduced by time discretization. Part II: BDF-like methods. IMA J. Numer. Anal. 12, 487-502.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 487-502
    • Iserles, A.1    Stuart, A.M.2
  • 12
    • 0026837246 scopus 로고
    • The dynamics of scroll waves in excitable media
    • KEENER, J. P., & TYSON, J. J. 1992 The dynamics of scroll waves in excitable media. SIAM Rev. 34, 1-39.
    • (1992) SIAM Rev. , vol.34 , pp. 1-39
    • Keener, J.P.1    Tyson, J.J.2
  • 15
    • 0022011947 scopus 로고
    • Turbulence in multistep methods for initial value problems
    • PRÜFER, M. 1985 Turbulence in multistep methods for initial value problems. SIAM J. Appl. Math. 45, 32-69.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 32-69
    • Prüfer, M.1
  • 18
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    • Chaos in numerical analysis of ordinary differential equations
    • YAMAGUTI, M., & USHIKI, S. 1981 Chaos in numerical analysis of ordinary differential equations. Physica D 3, 618-626.
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    • Yamaguti, M.1    Ushiki, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.