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Volumn 19, Issue 3, 1999, Pages 349-356

Stability of Runge-Kutta methods for delay differential systems with multiple delays

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

EID: 0033245799     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/19.3.349     Document Type: Article
Times cited : (19)

References (13)
  • 1
    • 0030244567 scopus 로고    scopus 로고
    • Stability of retarded delay differential systems
    • ARUNSAWATWONG, S. 1996 Stability of retarded delay differential systems. Int. J. Control. 65, 347-364.
    • (1996) Int. J. Control. , vol.65 , pp. 347-364
    • Arunsawatwong, S.1
  • 4
    • 34249759158 scopus 로고
    • Stability analysis of numerical methods for systems of neutral delay-differential equations
    • HU, G. DA & MITSUI, T. 1995 Stability analysis of numerical methods for systems of neutral delay-differential equations. BIT 35, 504-515.
    • (1995) BIT , vol.35 , pp. 504-515
    • Hu, G.D.A.1    Mitsui, T.2
  • 5
    • 0031075530 scopus 로고    scopus 로고
    • Estimation of numerically stable stepsize for neutral delay-differential equations via spectral radius
    • HU, G. DI, HU, G. DA, & LIU, M. Z. 1997 Estimation of numerically stable stepsize for neutral delay-differential equations via spectral radius. J. Comput. Appl. Math. 78, 311-316.
    • (1997) J. Comput. Appl. Math. , vol.78 , pp. 311-316
    • Hu, G.D.I.1    Hu, G.D.A.2    Liu, M.Z.3
  • 6
    • 34249839190 scopus 로고
    • A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
    • IN'T HOUT, K. J. 1992 A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations. BIT 32, 634-649.
    • (1992) BIT , vol.32 , pp. 634-649
    • In't Hout, K.J.1
  • 7
    • 0031506225 scopus 로고    scopus 로고
    • Stability analysis of Runge-Kutta methods for systems of delay differential equations
    • IN'T HOUT, K. J. 1997 Stability analysis of Runge-Kutta methods for systems of delay differential equations. IMA. J. Numer. Anal. 17, 17-27.
    • (1997) IMA. J. Numer. Anal. , vol.17 , pp. 17-27
    • In't Hout, K.J.1
  • 8
    • 0000602152 scopus 로고
    • The optimal accuracy of difference schemes
    • ISERLES, A. & STRANG, G. 1983 The optimal accuracy of difference schemes. Trans. Am. Math. Soc. 277, 779-803.
    • (1983) Trans. Am. Math. Soc. , vol.277 , pp. 779-803
    • Iserles, A.1    Strang, G.2
  • 12
    • 85163183837 scopus 로고
    • Trigonometric polynomials and difference methods of maximum accuracy
    • STRANG, G. 1962 Trigonometric polynomials and difference methods of maximum accuracy. J.. Math. Phys. 41, 147-154.
    • (1962) J. Math. Phys. , vol.41 , pp. 147-154
    • Strang, G.1
  • 13
    • 0001108409 scopus 로고
    • The stability of the Θ-methods in the numerical solution of delay differential equations with several delay terms
    • TIAN, H. J. & KUANG, J. X. 1995 The stability of the Θ-methods in the numerical solution of delay differential equations with several delay terms. J. Comput. Appl. Math. 58, 171-181.
    • (1995) J. Comput. Appl. Math. , vol.58 , pp. 171-181
    • Tian, H.J.1    Kuang, J.X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.