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Volumn 22, Issue 1-3 SPEC. ISS., 1996, Pages 251-262

Regularity properties of Runge-Kutta methods for ordinary differential equations

Author keywords

Asymptotic values; Ordinary differential equation; Runge Kutta method

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FUNCTIONS;

EID: 0030291053     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0168-9274(96)00036-0     Document Type: Article
Times cited : (6)

References (12)
  • 4
    • 0040958621 scopus 로고
    • Neue methoden zur approximativen integration der differentialgleichungen einer unabhängigen veränderlichen
    • K. Heun. Neue Methoden zur approximativen Integration der Differentialgleichungen einer unabhängigen Veränderlichen, Z. Math. Phys. 45 (1990) 23-38.
    • (1990) Z. Math. Phys. , vol.45 , pp. 23-38
    • Heun, K.1
  • 6
    • 0002959217 scopus 로고
    • Stability and dynamics of numerical methods for nonlinear ordinary differential equations
    • A. Iserles, Stability and dynamics of numerical methods for nonlinear ordinary differential equations, IMA J. Numer. Anal. 10 (1990) 1-30.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 1-30
    • Iserles, A.1
  • 7
    • 0026402428 scopus 로고
    • A unified approach to spurious solutions introduced by time discretization. Part I: Basic theory
    • A. Iserles, A.T. Peplow and A.M. Stuart, A unified approach to spurious solutions introduced by time discretization. Part I: Basic theory, SIAM J. Numer. Anal. 28 (1991) 1723-1751.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1723-1751
    • Iserles, A.1    Peplow, A.T.2    Stuart, A.M.3
  • 8
    • 21144460411 scopus 로고
    • Unified approach to spurious solutions introduced by time discretizations. Part II: BDF-like methods
    • A. Iserles and A.M. Stuart, Unified approach to spurious solutions introduced by time discretizations. Part II: BDF-like methods, IMA J. Numer. Anal. 12 (1992) 487-502.
    • (1992) IMA J. Numer. Anal. , vol.12 , pp. 487-502
    • Iserles, A.1    Stuart, A.M.2
  • 9
    • 0006451452 scopus 로고
    • Beitrag zur näherungsweisen integration totaler differentialgleichungen
    • W. Kutta, Beitrag zur näherungsweisen Integration totaler Differentialgleichungen, Z. Math. Phys. 46 (1901) 435-453.
    • (1901) Z. Math. Phys. , vol.46 , pp. 435-453
    • Kutta, W.1
  • 10
    • 0012650693 scopus 로고
    • Über die numerische auflösung von differentialgleichungen
    • C. Runge, Über die numerische Auflösung von Differentialgleichungen, Math. Ann. 46 (1895) 167-178.
    • (1895) Math. Ann. , vol.46 , pp. 167-178
    • Runge, C.1
  • 12
    • 84974266266 scopus 로고
    • Numerical analysis of dynamical systems
    • A.M. Stuart, Numerical analysis of dynamical systems, Acta Numerica (1994) 467-572.
    • (1994) Acta Numerica , pp. 467-572
    • Stuart, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.