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Volumn 21, Issue 1, 2001, Pages 439-450

Geometric proofs of numerical stability for delay equations

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS;

EID: 0035529769     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.1.439     Document Type: Article
Times cited : (27)

References (13)
  • 1
    • 0021374208 scopus 로고
    • Stability properties of numerical methods for solving delay differential equations
    • AL MUTIB, A. N. 1984 Stability properties of numerical methods for solving delay differential equations. J. Comput. Appl. Math. 10, 71-79.
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 71-79
    • Al Mutib, A.N.1
  • 2
    • 0016463497 scopus 로고
    • Special stability problems for functional differential equations
    • BARWELL, V. K. 1975 Special stability problems for functional differential equations. BIT 15, 130-135.
    • (1975) BIT , vol.15 , pp. 130-135
    • Barwell, V.K.1
  • 3
    • 21844511112 scopus 로고
    • Computing stability regions - Runge-Kutta methods for delay differential equations
    • BAKER, C. T. H. & PAUL, C. A. H. 1994 Computing stability regions - Runge-Kutta methods for delay differential equations. IMA J. Numer. Anal. 14, 347-362.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 347-362
    • Baker, C.T.H.1    Paul, C.A.H.2
  • 4
    • 0016103004 scopus 로고
    • Highly stable multistep methods for retarded differential equations
    • CRYER, C. W. 1974 Highly stable multistep methods for retarded differential equations. SIAM J. Numer. Anal. 11, 788-797.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 788-797
    • Cryer, C.W.1
  • 6
    • 0031479326 scopus 로고    scopus 로고
    • On the asymptotic stability properties of Runge-Kutta methods for delay differential equations
    • GUGLIELMI, N. 1997 On the asymptotic stability properties of Runge-Kutta methods for delay differential equations. Numer. Math. 77, 467-485.
    • (1997) Numer. Math. , vol.77 , pp. 467-485
    • Guglielmi, N.1
  • 7
    • 0039835397 scopus 로고    scopus 로고
    • Delay dependent stability regions of θ-methods for delay differential equations
    • GUGLIELMI, N. 1998 Delay dependent stability regions of Θ-methods for delay differential equations. IMA J. Numer. Anal. 18, 399-418.
    • (1998) IMA J. Numer. Anal. , vol.18 , pp. 399-418
    • Guglielmi, N.1
  • 8
    • 0033446838 scopus 로고    scopus 로고
    • Order stars and stability for delay differential equations
    • GUGLIELMI, N. & HAIRER, E. 1999 Order stars and stability for delay differential equations. Numer. Math. 83, 371-383.
    • (1999) Numer. Math. , vol.83 , pp. 371-383
    • Guglielmi, N.1    Hairer, E.2
  • 11
    • 0021376613 scopus 로고
    • Stability in linear multistep methods for pure delay equations
    • VAN DER HOUWEN, P. J. & SOMMEIJER, B. P. 1984 Stability in linear multistep methods for pure delay equations. J. Comput. Appl. Math. 10, 55-63.
    • (1984) J. Comput. Appl. Math. , vol.10 , pp. 55-63
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 12
    • 0034555477 scopus 로고    scopus 로고
    • Stability of Runge-Kutta methods for linear delay differential equations
    • at press
    • MASET, S. 2000 Stability of Runge-Kutta methods for linear delay differential equations. Numer. Math, at press.
    • (2000) Numer. Math
    • Maset, S.1
  • 13
    • 0000750163 scopus 로고
    • P-stability properties of Runge-Kutta methods for delay differential equations
    • ZENNARO, M. 1986 P-stability properties of Runge-Kutta methods for delay differential equations. Numer. Math. 49, 305-318.
    • (1986) Numer. Math. , vol.49 , pp. 305-318
    • Zennaro, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.