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Volumn 21, Issue 4, 1996, Pages 385-415

Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations

Author keywords

A stability; General linear method; Order conditions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRATION; NUMERICAL ANALYSIS;

EID: 0030263281     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(96)00043-8     Document Type: Article
Times cited : (57)

References (15)
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  • 3
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    • Diagonally-implicit multi-stage integration methods
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    • (1993) Appl. Numer. Math. , vol.11 , pp. 347-363
    • Butcher, J.C.1
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    • J.C. Butcher, A transformation for the analysis of DIMSIMs, BIT 34 (1994) 25-32.
    • (1994) BIT , vol.34 , pp. 25-32
    • Butcher, J.C.1
  • 5
    • 0039936275 scopus 로고
    • General linear methods for the parallel solution of ordinary differential equations
    • J.C. Butcher, General linear methods for the parallel solution of ordinary differential equations, in: World Scientific Series in Applicable Analysis 2 (1993) 99-111.
    • (1993) World Scientific Series in Applicable Analysis , vol.2 , pp. 99-111
    • Butcher, J.C.1
  • 6
    • 0001074434 scopus 로고
    • Diagonally implicit general linear methods for ordinary differential equations
    • J.C. Butcher and Z. Jackiewicz, Diagonally implicit general linear methods for ordinary differential equations, BIT 33 (1993) 452-472.
    • (1993) BIT , vol.33 , pp. 452-472
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 7
    • 0000452884 scopus 로고    scopus 로고
    • Implementation of diagonally implicit multistage integration methods for ordinary differential equations
    • to appear
    • J.C. Butcher and Z. Jackiewicz, Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 9
    • 0023401540 scopus 로고
    • Efficient numerical path following beyond critical points
    • P. Deuflhard, B. Fiedler and P. Kunkel, Efficient numerical path following beyond critical points, SIAM J. Numer. Anal. 24 (1987) 912-927.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 912-927
    • Deuflhard, P.1    Fiedler, B.2    Kunkel, P.3
  • 11
    • 0007082106 scopus 로고
    • Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations
    • Z. Jackiewicz, R. Vermiglio and M. Zennaro, Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations, Appl. Numer. Math. 16 (1995) 343-367.
    • (1995) Appl. Numer. Math. , vol.16 , pp. 343-367
    • Jackiewicz, Z.1    Vermiglio, R.2    Zennaro, M.3
  • 13
    • 84976786620 scopus 로고
    • Algorithm 596: A program for a locally-parametrized continuation process
    • W.C. Rheinboldt and J.V. Burkardt, Algorithm 596: a program for a locally-parametrized continuation process, ACM Trans. Math. Software 9 (1983) 236-241.
    • (1983) ACM Trans. Math. Software , vol.9 , pp. 236-241
    • Rheinboldt, W.C.1    Burkardt, J.V.2
  • 14
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    • HOMPACK: A suite of codes for globally convergent homotopy algorithms
    • L.T. Watson, S.C. Billups and A.P. Morgan, HOMPACK: a suite of codes for globally convergent homotopy algorithms, ACM Trans. Math. Software 13 (1987) 281-310.
    • (1987) ACM Trans. Math. Software , vol.13 , pp. 281-310
    • Watson, L.T.1    Billups, S.C.2    Morgan, A.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.