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Volumn 11, Issue 4, 1999, Pages 315-329

Runge-Kutta-collocation methods for systems of functional-differential and functional equations

Author keywords

Collocation method; Continuous Runge Kutta method; Functional equations; Functional differential equations; Hybrid systems; Numerical stability; Order of approximation

Indexed keywords


EID: 0000579152     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018936328525     Document Type: Article
Times cited : (16)

References (12)
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    • (1995) Adv. Comput. Math. , vol.3 , pp. 171-196
    • Baker, C.T.H.1    Paul, C.A.H.2    Willé, D.R.3
  • 2
    • 27144501019 scopus 로고    scopus 로고
    • On the A-stability of RK collocation methods based on orthogonal polynomials, to appear in SIAM
    • R. Barrio, On the A-stability of RK collocation methods based on orthogonal polynomials, to appear in SIAM J. Numer. Anal.
    • J. Numer. Anal.
    • Barrio, R.1
  • 3
    • 0021449148 scopus 로고
    • One-step collocation for delay differential equations
    • A. Bellen, 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
  • 4
    • 0005626254 scopus 로고
    • Constrained mesh methods for functional differential equations
    • Delay Equations, Approximation Theory and Application, Birkhäuser, Basel
    • A. Bellen, Constrained mesh methods for functional differential equations, in: Delay Equations, Approximation Theory and Application, International Series of Numerical Mathematics, Vol. 74 (Birkhäuser, Basel, 1985) pp. 52-70.
    • (1985) International Series of Numerical Mathematics , vol.74 , pp. 52-70
    • Bellen, A.1
  • 6
    • 0003013498 scopus 로고
    • High-dimension chaotic attractors of a nonlinear ring cavity
    • M.L. Berre, E. Ressayre, A. Tallet and H.M. Gibbs, High-dimension chaotic attractors of a nonlinear ring cavity, Phys. Rev. Lett. 56 (1986) 274-277.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 274-277
    • Berre, M.L.1    Ressayre, E.2    Tallet, A.3    Gibbs, H.M.4
  • 7
    • 0001513441 scopus 로고
    • Small signal stability criterion for electrical networks containing lossless transmission lines
    • R.K. Brayton, Small signal stability criterion for electrical networks containing lossless transmission lines, IBM J. Res. Rev. 12 (1968) 431-440.
    • (1968) IBM J. Res. Rev. , vol.12 , pp. 431-440
    • Brayton, R.K.1
  • 8
    • 0001254654 scopus 로고
    • Singular perturbation problems for a system of differential-difference equations, I
    • S.-N. Chow and W. Huang, Singular perturbation problems for a system of differential-difference equations, I, J. Differential Equations 112 (1994) 257-307.
    • (1994) J. Differential Equations , vol.112 , pp. 257-307
    • Chow, S.-N.1    Huang, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.