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Volumn 125, Issue 1-2, 2000, Pages 251-263

Numerical stability of nonlinear delay differential equations of neutral type

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 0034516813     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00471-4     Document Type: Article
Times cited : (52)

References (20)
  • 1
    • 0001442051 scopus 로고
    • Issues in the numerical solution of evolutionary delay differential equations
    • C.T.H. Baker, C.A.H. Paul, D.R. Willè, Issues in the numerical solution of evolutionary delay differential equations, Adv. Comput. Math. 3 (1995) 171-196.
    • (1995) Adv. Comput. Math. , vol.3 , pp. 171-196
    • Baker, C.T.H.1    Paul, C.A.H.2    Willè, D.R.3
  • 2
    • 0031208947 scopus 로고    scopus 로고
    • Contractivity of continuous Runge-Kutta methods for delay differential equations
    • A. Bellen, Contractivity of continuous Runge-Kutta methods for delay differential equations, Appl. Numer. Math. 24 (1997) 219-232.
    • (1997) Appl. Numer. Math. , vol.24 , pp. 219-232
    • Bellen, A.1
  • 3
    • 0043232751 scopus 로고    scopus 로고
    • On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
    • A. Bellen, N. Guglielmi, M. Zennaro, On the contractivity and asymptotic stability of systems of delay differential equations of neutral type, BIT 39 (1999) 1-24.
    • (1999) BIT , vol.39 , pp. 1-24
    • Bellen, A.1    Guglielmi, N.2    Zennaro, M.3
  • 4
    • 38249014185 scopus 로고
    • Strong contractivity properties of numerical methods for ordinary and delay differential equations
    • A. Bellen, 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
  • 5
    • 0001513441 scopus 로고
    • Small signal stability criterion for networks containing lossless transmission lines
    • R.K. Brayton, Small signal stability criterion for networks containing lossless transmission lines, IBM J. Res. Develop. 12 (1968) 431-440.
    • (1968) IBM J. Res. Develop. , vol.12 , pp. 431-440
    • Brayton, R.K.1
  • 6
    • 0001338513 scopus 로고
    • On the numerical integration of a symmetric system of difference-differential equations of neutral type
    • R.K. Brayton, R.A. Willoughby, On the numerical integration of a symmetric system of difference-differential equations of neutral type, J. Math. Anal. Appl. 18 (1967) 182-189.
    • (1967) J. Math. Anal. Appl. , vol.18 , pp. 182-189
    • Brayton, R.K.1    Willoughby, R.A.2
  • 7
    • 0030533203 scopus 로고    scopus 로고
    • Inexact Newton methods for the steady-state analysis of nonlinear circuits
    • N. Guglielmi, Inexact Newton methods for the steady-state analysis of nonlinear circuits, Math. Models Methods Appl. Sci. 6 (1996) 43-57.
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , pp. 43-57
    • Guglielmi, N.1
  • 8
    • 0030287583 scopus 로고    scopus 로고
    • On error growth functions of Runge-Kutta methods
    • E. Hairer, M. Zennaro, On error growth functions of Runge-Kutta methods, Appl. Numer. Math. 22 (1996) 205-216.
    • (1996) Appl. Numer. Math. , vol.22 , pp. 205-216
    • Hairer, E.1    Zennaro, M.2
  • 9
    • 34249759158 scopus 로고
    • Stability analysis of numerical methods for systems of neutral delay-differential equations
    • G.-Da Hu, T. Mitsui, Stability analysis of numerical methods for systems of neutral delay-differential equations, BIT 35 (1995) 504-515.
    • (1995) BIT , vol.35 , pp. 504-515
    • Hu, G.-D.1    Mitsui, T.2
  • 11
    • 0000426312 scopus 로고
    • The asymptotic stability of one-parameter methods for neutral differential equations
    • J.X. Kuang, J.X. Xiang, H.J. Tian, The asymptotic stability of one-parameter methods for neutral differential equations, BIT 34 (1994) 400-408.
    • (1994) BIT , vol.34 , pp. 400-408
    • Kuang, J.X.1    Xiang, J.X.2    Tian, H.J.3
  • 12
    • 84974079359 scopus 로고
    • Stability of linear neutral delay-differential systems
    • L.M. Li, Stability of linear neutral delay-differential systems, Bull. Austral. Math. Soc. 38 (1988) 339-344.
    • (1988) Bull. Austral. Math. Soc. , vol.38 , pp. 339-344
    • Li, L.M.1
  • 13
    • 0031248523 scopus 로고    scopus 로고
    • Hybrid electromagnetic modeling of noise interactions in packaged electronics based on the partial element equivalent circuit formulation
    • W. Pinello, A.C. Cangellaris, A. Ruehli, Hybrid electromagnetic modeling of noise interactions in packaged electronics based on the partial element equivalent circuit formulation, IEEE Trans. Microwave Theory Tech. 45 (1997) 1889-1896.
    • (1997) IEEE Trans. Microwave Theory Tech. , vol.45 , pp. 1889-1896
    • Pinello, W.1    Cangellaris, A.C.2    Ruehli, A.3
  • 15
    • 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
  • 16
    • 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
  • 18
    • 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
  • 19
    • 0000446512 scopus 로고
    • Delay differential equations: Theory and numerics
    • M. Ainsworth, W.A. Light, M. Marletta (Eds.), Oxford University Press, Oxford, (Chapter 6)
    • M. Zennaro, Delay differential equations: theory and numerics, in: M. Ainsworth, W.A. Light, M. Marletta (Eds.), Theory and Numerics of Ordinary and Partial Differential Equations, Oxford University Press, Oxford, 1995 (Chapter 6).
    • (1995) Theory and Numerics of Ordinary and Partial Differential Equations
    • Zennaro, M.1
  • 20
    • 0031501318 scopus 로고    scopus 로고
    • Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
    • M. Zennaro, Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations, Numer. Math. 77 (1997) 549-563.
    • (1997) Numer. Math. , vol.77 , pp. 549-563
    • Zennaro, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.