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Volumn 29, Issue 4, 1999, Pages 67-77

Matrix free MEBDF method for the solution of stiff systems of ODEs

Author keywords

BDF method; IOM; MOL; ODE; PDE; Stiff systems

Indexed keywords

COMPUTER MODEL; MATHEMATICAL MODEL;

EID: 0033081142     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00040-0     Document Type: Article
Times cited : (25)

References (9)
  • 2
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    • J.R. Cash, The numerical solution of systems of ordinary differential equations, Proc. Camb. Phil. Soc 76, 443-457, (1974).
    • (1974) Proc. Camb. Phil. Soc , vol.76 , pp. 443-457
    • Cash, J.R.1
  • 3
    • 84966222159 scopus 로고
    • Krylov subspace methods for solving large unsymmetric linear systems
    • Y. Saad, Krylov subspace methods for solving large unsymmetric linear systems, Math. Comp. 37, 105-126, (1981).
    • (1981) Math. Comp. , vol.37 , pp. 105-126
    • Saad, Y.1
  • 4
    • 0001288471 scopus 로고
    • On the integration of stiff systems of ODES using extended backward differentiation formula
    • J.R. Cash, On the integration of stiff systems of ODES using extended backward differentiation formula, Numer. Math. 34 (2), 235-246, (1980).
    • (1980) Numer. Math. , vol.34 , Issue.2 , pp. 235-246
    • Cash, J.R.1
  • 5
    • 0020910120 scopus 로고
    • The integration of stiff initial value problems in ODES using modified extended backward differentiation formula
    • J.R. Cash, The integration of stiff initial value problems in ODES using modified extended backward differentiation formula, Computers Math. Applic. 9 (5), 645-657, (1983).
    • (1983) Computers Math. Applic. , vol.9 , Issue.5 , pp. 645-657
    • Cash, J.R.1
  • 6
    • 0026871958 scopus 로고
    • A fortran subroutine for solution of first order systems for ordinary differential equations
    • J.R. Cash, A fortran subroutine for solution of first order systems for ordinary differential equations, ACM. Trans 18 (2), 156-158, (1992).
    • (1992) ACM. Trans , vol.18 , Issue.2 , pp. 156-158
    • Cash, J.R.1
  • 8
    • 0000309178 scopus 로고
    • Balancing space and time errors in the method of lines for parabolic equations
    • J. Lowson, M. Berzins and P.M. Dew, Balancing space and time errors in the method of lines for parabolic equations, SIAM J. Sci. Stat. Comput. 12 (3), 573-594, (1991).
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , Issue.3 , pp. 573-594
    • Lowson, J.1    Berzins, M.2    Dew, P.M.3
  • 9
    • 0022738825 scopus 로고
    • Matrix free methods for stiff systems of ODES
    • P.N. Brown and A.C. Hindmarsh, Matrix free methods for stiff systems of ODES, SIAM J. Numer. Anal. 23 (3), 610-638, (1986).
    • (1986) SIAM J. Numer. Anal. , vol.23 , Issue.3 , pp. 610-638
    • Brown, P.N.1    Hindmarsh, A.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.