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Volumn 107, Issue 2, 1999, Pages 233-239

Exploiting structure in the construction of DIMSIMs

Author keywords

65L05; 65L20; A stability; General linear method; Least squares minimization; Ordinary differential equation

Indexed keywords

COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0032671026     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00091-6     Document Type: Article
Times cited : (10)

References (11)
  • 1
    • 0027557059 scopus 로고
    • Algorithm 717, Subroutines for maximum likelihood and quasi-likelihood estimation of parameters in nonlinear regression models
    • Bunch D.S., Gay D.M., Welsch R.E. Algorithm 717, Subroutines for maximum likelihood and quasi-likelihood estimation of parameters in nonlinear regression models. ACM Trans. Math. Software. 19:1993;109-130.
    • (1993) ACM Trans. Math. Software , vol.19 , pp. 109-130
    • Bunch, D.S.1    Gay, D.M.2    Welsch, R.E.3
  • 2
    • 38249003919 scopus 로고
    • Diagonally-implicit multi-stage integration methods
    • Butcher J.C. Diagonally-implicit multi-stage integration methods. Appl. Numer. Math. 11:1993;347-363.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 347-363
    • Butcher, J.C.1
  • 3
    • 0039344085 scopus 로고
    • A transformation for the analysis of DIMSIMs
    • Butcher J.C. A transformation for the analysis of DIMSIMs. BIT. 34:1994;25-32.
    • (1994) BIT , vol.34 , pp. 25-32
    • Butcher, J.C.1
  • 4
    • 0030263281 scopus 로고    scopus 로고
    • Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations
    • Butcher J.C., Jackiewicz Z. Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations. Appl. Numer. Math. 21:1996;385-415.
    • (1996) Appl. Numer. Math. , vol.21 , pp. 385-415
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 5
    • 0032068326 scopus 로고    scopus 로고
    • Construction of high order DIMSIMs for ordinary differential equations
    • Butcher J.C., Jackiewicz Z. Construction of high order DIMSIMs for ordinary differential equations. Appl. Numer. Math. 27:1998;1-12.
    • (1998) Appl. Numer. Math. , vol.27 , pp. 1-12
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 6
    • 0031559380 scopus 로고
    • A nonlinear optimization approach to the construction of general linear methods of high order
    • Butcher J.C., Jackiewicz Z., Mittelmann H.D. A nonlinear optimization approach to the construction of general linear methods of high order. J. Comput. Appl. Math. 81:1977;181-196.
    • (1977) J. Comput. Appl. Math. , vol.81 , pp. 181-196
    • Butcher, J.C.1    Jackiewicz, Z.2    Mittelmann, H.D.3
  • 7
    • 85033942402 scopus 로고    scopus 로고
    • J.C. Butcher, W. Wright, Personal communication
    • J.C. Butcher, W. Wright, Personal communication.
  • 8
    • 84976747891 scopus 로고
    • Algorithm 573, NL2SOL - An adaptive nonlinear least-squares algorithm
    • Dennis J.E., Gay D.M., Welsch R.E. Algorithm 573, NL2SOL - An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Software. 7:1981;369-383.
    • (1981) ACM Trans. Math. Software , vol.7 , pp. 369-383
    • Dennis, J.E.1    Gay, D.M.2    Welsch, R.E.3
  • 11
    • 77955749812 scopus 로고    scopus 로고
    • AT & T Laboratories, Murray Hill, NJ, 1984. The public part of this library is available at -_rfrul http: // www.netlib.org / port /
    • The PORT Mathematical Subroutine Library, 3rd ed., AT & T Laboratories, Murray Hill, NJ, 1984. The public part of this library is available at http: // www.netlib.org / port / .
    • The PORT Mathematical Subroutine Library, 3rd Ed.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.