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Volumn 164-165, Issue , 2004, Pages 145-158

The BiM code for the numerical solution of ODEs

Author keywords

Iterative solution of linear systems; Nonlinear splittings; Numerical methods for ODEs; Numerical software; Stiff problems

Indexed keywords

INITIAL VALUE PROBLEMS; NUMERICAL ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

EID: 1442314147     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.09.004     Document Type: Article
Times cited : (42)

References (18)
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    • K.E. Brenan, S.L. Campbell, L.R. Petzold, Numerical solution of initial-value problems in differential-algebraic equations. Classics in Applied Mathematics, Vol.14, SIAM, Philadelphia, 1996. Code available at: http://www.netlib.org/ode/ddassl.f.
    • (1996) Classics in Applied Mathematics , vol.14
    • Brenan, K.E.1    Campbell, S.L.2    Petzold, L.R.3
  • 2
    • 0033882099 scopus 로고    scopus 로고
    • 3VMs): A family of economical implicit methods for ODEs
    • 3VMs): a family of economical implicit methods for ODEs J. Comput. Appl. Math. 116 2000 41-62
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    • Brugnano, L.1
  • 3
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    • Brugnano, L.1    Magherini, C.2
  • 4
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    • Some linear algebra issues concerning the implementation of blended implicit methods
    • accepted for publication
    • L. Brugnano, C. Magherini, Some linear algebra issues concerning the implementation of blended implicit methods, Numer. Linear Algebra Appl., accepted for publication.
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    • Brugnano, L.1    Magherini, C.2
  • 5
    • 85030884932 scopus 로고    scopus 로고
    • Economical error estimates for block implicit methods for ODEs via deferred correction
    • submitted for publication
    • L. Brugnano, C. Magherini, Economical error estimates for block implicit methods for ODEs via deferred correction, submitted for publication.
    • Brugnano, L.1    Magherini, C.2
  • 7
    • 0005751760 scopus 로고    scopus 로고
    • Block implicit methods for ODEs
    • D. Trigiante (Ed.), New York: Nova Science Publ. Inc
    • Brugnano L. Trigiante D. Block implicit methods for ODEs Trigiante D. Recent Trends in Numerical Analysis 2001 81-105 Nova Science Publ. Inc. New York
    • (2001) Recent Trends in Numerical Analysis , pp. 81-105
    • Brugnano, L.1    Trigiante, D.2
  • 9
    • 0026873013 scopus 로고
    • An MEBDF code for stiff Initial Value Problems
    • Code available at:
    • J.R. Cash, S. Considine, An MEBDF code for stiff Initial Value Problems, ACM Trans. Math. Software 18(2) (1992) 142-158. Code available at: http://www.ma.ic.ac.uk/~jcash/IVP_software/readme.html
    • (1992) ACM Trans. Math. Software , vol.18 , Issue.2 , pp. 142-158
    • Cash, J.R.1    Considine, S.2
  • 12
    • 0030621829 scopus 로고    scopus 로고
    • Triangularly implicit iteration methods for ODE-IVP solvers
    • van der Houwen P.J. de Swart J.J.B. Triangularly implicit iteration methods for ODE-IVP solvers SIAM J. Sci. Comput. 18 1997 41-55
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 41-55
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  • 13
    • 0031503691 scopus 로고    scopus 로고
    • Parallel linear system solvers for Runge-Kutta methods
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    • (1997) Adv. Comput. Math. , vol.7 , Issue.1-2 , pp. 157-181
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  • 14
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  • 15
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  • 16
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    • Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques
    • Code available at:
    • F. Iavernaro, F. Mazzia, Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques. Appl. Numer. Math. 28 (1998) 107-126. Code available at: http://www.dm.uniba.it/mazzia/ode/readme.html.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 107-126
    • Iavernaro, F.1    Mazzia, F.2
  • 18
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    • A-stable block one-step methods
    • Watts H.A. Shampine L.F. A-stable block one-step methods BIT 12 1972 252-266
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.