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Applied Numerical Mathematics
Volumn 24, Issue 2-3, 1997, Pages 219-232
Contractivity of continuous Runge-Kutta methods for delay differential equations
Author keywords

Delay equation; Dissipativity; Pantograph equation; Runge Kutta method
Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SYSTEM STABILITY;
EID: 0031208947     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00022-6     Document Type: Article
Times cited : (20)
References (9)
  • 1
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    • A. Bellen, Z. Jackiewicz and M. Zennaro, Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm, SIAM J. Numer. Anal. 31 (1994) 499-523.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 499-523
    • Bellen, A.1    Jackiewicz, Z.2    Zennaro, M.3
  • 2
    • 0040133123 scopus 로고    scopus 로고
    • Unconditional contractivity in the maximum norm of diagonally split Runge-Kutta methods
    • A. Bellen and L. Torelli, Unconditional contractivity in the maximum norm of Diagonally Split Runge-Kutta methods, SIAM J. Numer. Anal. 34 (2) (1997).
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2
    • Bellen, A.1    Torelli, L.2
  • 3
    • 38249014185 scopus 로고
    • Strong contractivity properties of numerical methods for ordinary and delay differential equations
    • A. Bellen and M. Zennaro, Strong contractivity properties of numerical methods for ordinary and delay differential equations, Appl. Numer. Math. 9 (1992) 321-346.
    • (1992) Appl. Numer. Math. , vol.9 , pp. 321-346
    • Bellen, A.1    Zennaro, M.2
  • 4
    • 0003239298 scopus 로고
    • Stability of Runge-Kutta methods for stiff nonlinear differential equations
    • North-Holland, Amsterdam
    • K. Dekker and J.G. Verwer, Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations, CWI Monographs 2 (North-Holland, Amsterdam, 1984).
    • (1984) CWI Monographs , vol.2
    • Dekker, K.1    Verwer, J.G.2
  • 5
    • 0001372973 scopus 로고    scopus 로고
    • A note on unconditional maximum norm contractivity of waveform relaxation Runge-Kutta methods
    • K.J. in 't Hout, A note on unconditional maximum norm contractivity of waveform relaxation Runge-Kutta methods, SIAM J. Numer. Anal. 33 (1996) 1125-1134.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1125-1134
    • In 'T Hout, K.J.1
  • 6
    • 0009028686 scopus 로고
    • Stability and asymptotic stability of functional-differential equations
    • A. Iserles and J. Terjeki, Stability and asymptotic stability of functional-differential equations, J. London Math. Soc. (2) 51 (1995) 559-572.
    • (1995) J. London Math. Soc. , vol.51 , Issue.2 , pp. 559-572
    • Iserles, A.1    Terjeki, J.2
  • 7
    • 38249024166 scopus 로고
    • Stability of numerical methods for delay differential equations
    • L. Torelli, Stability of numerical methods for delay differential equations, J. Comput. Appl. Math. 25 (1989) 15-26.
    • (1989) J. Comput. Appl. Math. , vol.25 , pp. 15-26
    • Torelli, L.1
  • 8
    • 0005715127 scopus 로고
    • A sufficient condition for GPN-stability for delay differential equations
    • L. Torelli, A sufficient condition for GPN-stability for delay differential equations, Numer. Math. 59 (1991) 311-320.
    • (1991) Numer. Math. , vol.59 , pp. 311-320
    • Torelli, L.1
  • 9
    • 38249006326 scopus 로고
    • Contractivity of Runge-Kutta methods with respect to forcing terms
    • M. Zennaro, Contractivity of Runge-Kutta methods with respect to forcing terms, Appl. Numer. Math. 10 (1993) 321-345.
    • (1993) Appl. Numer. Math. , vol.10 , pp. 321-345
    • Zennaro, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.