메뉴 건너뛰기




Volumn 55, Issue 12, 2008, Pages 2830-2838

Stability of linear multistep methods for delay integro-differential equations

Author keywords

Asymptotic stability; Delay integro differential equations; Linear multistep methods of Pouzet type

Indexed keywords

ASYMPTOTIC STABILITY; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

EID: 42749083946     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.09.005     Document Type: Article
Times cited : (31)

References (20)
  • 3
    • 2142732543 scopus 로고
    • Convergence of linear multistep methods for a class of delay-integro-differential equations
    • Birkhäuser, Boston, MA
    • Baker C.T.H., and Ford N.J. Convergence of linear multistep methods for a class of delay-integro-differential equations. International Series of Numerical Mathematics vol. 86 (1988), Birkhäuser, Boston, MA 47-59
    • (1988) International Series of Numerical Mathematics , vol.86 , pp. 47-59
    • Baker, C.T.H.1    Ford, N.J.2
  • 4
    • 2142728692 scopus 로고
    • Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations
    • Baker C.T.H., and Ford N.J. Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Bull. Soc. Math. Grèce (N.S.) 31 (1990) 5-18
    • (1990) Bull. Soc. Math. Grèce (N.S.) , vol.31 , pp. 5-18
    • Baker, C.T.H.1    Ford, N.J.2
  • 5
    • 0005566582 scopus 로고
    • The numerical solution of neutral Volterra integro-differential equations with delay arguments
    • Brunner H. The numerical solution of neutral Volterra integro-differential equations with delay arguments. Ann. Numer. Math. 1 (1994) 309-322
    • (1994) Ann. Numer. Math. , vol.1 , pp. 309-322
    • Brunner, H.1
  • 6
    • 22644449317 scopus 로고    scopus 로고
    • The discretization of neutral functional integro-differential equations by collocation methods
    • Brunner H. The discretization of neutral functional integro-differential equations by collocation methods. Z. Anal. Anwendungen 18 (1999) 393-406
    • (1999) Z. Anal. Anwendungen , vol.18 , pp. 393-406
    • Brunner, H.1
  • 7
    • 38249015918 scopus 로고
    • Stability properties of a scheme for the approximate solution of a delay-integro-differential equation
    • Baker C.T.H., and Ford N.J. Stability properties of a scheme for the approximate solution of a delay-integro-differential equation. Appl. Numer. Math. 9 (1992) 357-370
    • (1992) Appl. Numer. Math. , vol.9 , pp. 357-370
    • Baker, C.T.H.1    Ford, N.J.2
  • 8
    • 0347093579 scopus 로고    scopus 로고
    • Computing stability of differential equations with bounded distributed delays
    • Luzyanina T., Engelborghs K., and Roose D. Computing stability of differential equations with bounded distributed delays. Numer. Algorithms 34 (2003) 41-66
    • (2003) Numer. Algorithms , vol.34 , pp. 41-66
    • Luzyanina, T.1    Engelborghs, K.2    Roose, D.3
  • 9
    • 6344235484 scopus 로고    scopus 로고
    • An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays
    • Huang C., and Vandewalle S. An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. SIAM J. Sci. Comput. 25 (2004) 1608-1632
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 1608-1632
    • Huang, C.1    Vandewalle, S.2
  • 10
    • 42749094838 scopus 로고    scopus 로고
    • C. Huang, S. Vandewalle, Stability of Runge-Kutta-Pouzet methods for Volterra integral and integro-differential equations with delays, Tech. Rept. TW 361, Dept. Comput. Sci., Katholieke Universiteit Leuven, Leuven, Belgium, June 2003
    • C. Huang, S. Vandewalle, Stability of Runge-Kutta-Pouzet methods for Volterra integral and integro-differential equations with delays, Tech. Rept. TW 361, Dept. Comput. Sci., Katholieke Universiteit Leuven, Leuven, Belgium, June 2003
  • 11
    • 0037102575 scopus 로고    scopus 로고
    • Stability of Runge-Kutta methods for delay integro-differential equations
    • Koto T. Stability of Runge-Kutta methods for delay integro-differential equations. J. Comput. Appl. Math. 145 (2002) 483-492
    • (2002) J. Comput. Appl. Math. , vol.145 , pp. 483-492
    • Koto, T.1
  • 12
    • 42749092552 scopus 로고    scopus 로고
    • C. Zhang, S. Vandewalle, Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations, Tech. Rept. TW 364, Dept. Comput. Sci., Katholieke Universiteit Leuven, Leuven, Belgium 2003
    • C. Zhang, S. Vandewalle, Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations, Tech. Rept. TW 364, Dept. Comput. Sci., Katholieke Universiteit Leuven, Leuven, Belgium 2003
  • 13
    • 0006716535 scopus 로고    scopus 로고
    • Generalized Halanay inequalities for Volterra functional differential equations and discrete versions
    • Corduneanu C., and Sandberg I.W. (Eds), Gordon and Breach, Amsterdam
    • Baker C.T.H., and Tang A. Generalized Halanay inequalities for Volterra functional differential equations and discrete versions. In: Corduneanu C., and Sandberg I.W. (Eds). Volterra Equations and Applications (Arlington, TX, 1996), Stability Control Theory Methods Appl vol. 10 (2000), Gordon and Breach, Amsterdam 39-55
    • (2000) Volterra Equations and Applications (Arlington, TX, 1996), Stability Control Theory Methods Appl , vol.10 , pp. 39-55
    • Baker, C.T.H.1    Tang, A.2
  • 14
    • 1442289500 scopus 로고    scopus 로고
    • Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time-discretization
    • Zhang C., and Vandewalle S. Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time-discretization. J. Comput. Appl. Math. 164-165 (2004) 797-814
    • (2004) J. Comput. Appl. Math. , vol.164-165 , pp. 797-814
    • Zhang, C.1    Vandewalle, S.2
  • 15
    • 12744277193 scopus 로고
    • Etude en vue de leur traitement numérique des équations intégrales de type Volterra
    • Pouzet P. Etude en vue de leur traitement numérique des équations intégrales de type Volterra. Rev. Fr. Traitement Inf. (Chiffres) 6 (1963) 79-112
    • (1963) Rev. Fr. Traitement Inf. (Chiffres) , vol.6 , pp. 79-112
    • Pouzet, P.1
  • 16
    • 0003213842 scopus 로고
    • North-Holland, Amsterdam
    • Brunner H., and Van der Houwen P.J. The Numerical Solution of Volterra Equations. CWI Monographs vol. 3 (1986), North-Holland, Amsterdam
    • (1986) CWI Monographs , vol.3
    • Brunner, H.1    Van der Houwen, P.J.2
  • 17
    • 0000449295 scopus 로고
    • On the stability of linear multistep methods for Volterra convolution equations
    • Lubich C. On the stability of linear multistep methods for Volterra convolution equations. IMA J. Numer. Anal. 3 (1983) 439-465
    • (1983) IMA J. Numer. Anal. , vol.3 , pp. 439-465
    • Lubich, C.1
  • 18
    • 0242708962 scopus 로고    scopus 로고
    • Stability of θ-methods for delay integro-differential equations
    • Koto T. Stability of θ-methods for delay integro-differential equations. J. Comput. Appl. Math. 161 (2003) 393-404
    • (2003) J. Comput. Appl. Math. , vol.161 , pp. 393-404
    • Koto, T.1
  • 19
    • 0036725871 scopus 로고    scopus 로고
    • Stability analysis of numerical methods for systems of functional-differential and functional equations
    • Huang C., and Chang Q. Stability analysis of numerical methods for systems of functional-differential and functional equations. Comput. Math. Appl. 44 (2002) 717-729
    • (2002) Comput. Math. Appl. , vol.44 , pp. 717-729
    • Huang, C.1    Chang, Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.