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Mathematical and Computer Modelling
Volumn 40, Issue 11-12, 2004, Pages 1199-1224
A class of implicit advanced step-point methods with a parallel feature for the solution of stiff initial value problems
Author keywords

Advanced step point methods stability; Initial value problems; MEBDF; Parallel methods; PIAS methods; Stiffness
Indexed keywords

CODES (SYMBOLS); COMPUTATIONAL METHODS; NUMERICAL METHODS; PROBLEM SOLVING; STATISTICS;
EID: 18044366416     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.01.014     Document Type: Article
Times cited : (6)
References (11)
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    • Miranker, W.L.1    Liniger, L.2
  • 2
    • 0017973628 scopus 로고
    • Parallel solution of ordinary differential equations
    • M.A. Franklin Parallel solution of ordinary differential equations IEEE Trans. on Comp. 27 1978 413 420
    • (1978) IEEE Trans. on Comp. , vol.27 , pp. 413-420
    • Franklin, M.A.1
  • 3
    • 0027297517 scopus 로고
    • Parallel methods for initial value problems
    • K. Burrage Parallel methods for initial value problems Appl. Num. Math. 11 1993 5 25
    • (1993) Appl. Num. Math. , vol.11 , pp. 5-25
    • Burrage, K.1
  • 4
    • 0007013790 scopus 로고    scopus 로고
    • A stability result for general linear methods with characteristic function having real poles only
    • G.-Y. Psihoyios, and J.R. Cash A stability result for general linear methods with characteristic function having real poles only BIT Num. Math. 38 3 1998 612 617
    • (1998) BIT Num. Math. , vol.38 , Issue.3 , pp. 612-617
    • Psihoyios, G.-Y.1    Cash, J.R.2
  • 5
    • 0342924525 scopus 로고
    • Advanced step-point methods for the solution of initial value problem
    • Imperial College, University of London Washington, DC
    • G. Psihoyios Advanced step-point methods for the solution of initial value problem Ph.D. thesis 1995 Imperial College, University of London Washington, DC
    • (1995) Ph.D. Thesis
    • Psihoyios, G.1
  • 6
    • 0020910120 scopus 로고
    • The integration on stiff IVPs in ODEs using modified extended BDF
    • J.R. Cash The integration on stiff IVPs in ODEs using modified extended BDF Computers Math. Applic. 9 1983 645 657
    • (1983) Computers Math. Applic. , vol.9 , pp. 645-657
    • Cash, J.R.1
  • 7
    • 84888924944 scopus 로고
    • Modified linear multistep methods for the numerical integration of stiff IVP
    • Imperial College
    • S. Considine Modified linear multistep methods for the numerical integration of stiff IVP Ph.D. thesis 1988 Imperial College
    • (1988) Ph.D. Thesis
    • Considine, S.1
  • 8
    • 0026873013 scopus 로고
    • An MEBDF code for stiff IVPs
    • J.R. Cash, and S. Considine An MEBDF code for stiff IVPs ACM TOMS 18II 1992 142 155
    • (1992) ACM TOMS , vol.18 , pp. 142-155
    • Cash, J.R.1    Considine, S.2
  • 9
    • 0001288471 scopus 로고
    • On the integration of stiff systems of ODEs using extended BDF jour Num
    • J.R. Cash On the integration of stiff systems of ODEs using extended BDF jour Num Math. 34 1980 235 246
    • (1980) Math. , vol.34 , pp. 235-246
    • Cash, J.R.1
  • 10
    • 0016443950 scopus 로고
    • Comparing numerical methods for stiff systems of ODEs
    • W.H. Enright, T.E. Hull, and B. Lindberg Comparing numerical methods for stiff systems of ODEs BIT 15 1975 10 48
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    • Enright, W.H.1    Hull, T.E.2    Lindberg, B.3
  • 11
    • 0023312263 scopus 로고
    • Two Fortran packages for assessing initial value methods
    • W.H. Enright, and J.D. Pryce Two Fortran packages for assessing initial value methods ACM TOMS 13 1987 1 27
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    • Enright, W.H.1    Pryce, J.D.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.