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Applied Mathematics and Computation
Volumn 198, Issue 1, 2008, Pages 227-236
A super-attainable order in collocation methods for differential equations with proportional delay
Author keywords

Collocation methods; Delay differential equations; Proportional delay; Super attainable order
Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PANTOGRAPHS;
EID: 40149095247     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.078     Document Type: Article
Times cited : (17)
References (9)
  • 1
    • 0042724819 scopus 로고
    • Continuous Volterra-Runge-Kutta methods for integral equations with pure delay
    • Baddour N., and Brunner H. Continuous Volterra-Runge-Kutta methods for integral equations with pure delay. Computing 50 (1993) 213-227
    • (1993) Computing , vol.50 , pp. 213-227
    • Baddour, N.1    Brunner, H.2
  • 2
    • 0021449148 scopus 로고
    • One-step collocation for delay differential equations
    • Bellen A. One-step collocation for delay differential equations. J. Comput. Appl. Math. 10 (1984) 275-283
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 275-283
    • Bellen, A.1
  • 3
    • 0001178161 scopus 로고
    • The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods
    • Blom J.G., and Brunner H. The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods. SIAM J. Sci. Stat. Comput. 8 (1987) 806-830
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 806-830
    • Blom, J.G.1    Brunner, H.2
  • 4
    • 0021552066 scopus 로고
    • Iterated collocation methods and their discretizations for Volterra integral equations
    • Brunner H. Iterated collocation methods and their discretizations for Volterra integral equations. SIAM J. Numer. Anal. 21 (1984) 1132-1145
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 1132-1145
    • Brunner, H.1
  • 5
    • 84968494814 scopus 로고
    • Iterated collocation methods for Volterra integral equations with delay arguments
    • Brunner H. Iterated collocation methods for Volterra integral equations with delay arguments. Math. Comp. 62 (1994) 581-599
    • (1994) Math. Comp. , vol.62 , pp. 581-599
    • Brunner, H.1
  • 6
    • 0002039485 scopus 로고    scopus 로고
    • On the discretization of differential and Volterra integral equations with variable delay
    • Brunner H. On the discretization of differential and Volterra integral equations with variable delay. BIT 37 1 (1997) 1-12
    • (1997) BIT , vol.37 , Issue.1 , pp. 1-12
    • Brunner, H.1
  • 7
    • 0000826399 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays
    • Ishiwata E. On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays. Computing 64 (2000) 207-222
    • (2000) Computing , vol.64 , pp. 207-222
    • Ishiwata, E.1
  • 8
    • 0037336074 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for pantograph integro-differential equations
    • Muroya Y., Ishiwata E., and Brunner H. On the attainable order of collocation methods for pantograph integro-differential equations. J. Comput. Appl. Math. 152 (2003) 347-366
    • (2003) J. Comput. Appl. Math. , vol.152 , pp. 347-366
    • Muroya, Y.1    Ishiwata, E.2    Brunner, H.3
  • 9
    • 0000361452 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for delay differential equations with proportional delay
    • Takama N., Muroya Y., and Ishiwata E. On the attainable order of collocation methods for delay differential equations with proportional delay. BIT 40 (2000) 374-394
    • (2000) BIT , vol.40 , pp. 374-394
    • Takama, N.1    Muroya, Y.2    Ishiwata, E.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.