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Volumn 40, Issue 3, 2000, Pages 497-512

Diagonalizable extended backward differentiation formulas

Author keywords

Extended BDFs; Initial value problems; Parallelism

Indexed keywords


EID: 0007061792     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022367713296     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0031479850 scopus 로고    scopus 로고
    • A parallel stiff ODE solver based on MIRKs
    • C. Bendtsen, A parallel stiff ODE solver based on MIRKs, Adv. in Comp. Math., 7 (1997), pp. 27-36.
    • (1997) Adv. in Comp. Math. , vol.7 , pp. 27-36
    • Bendtsen, C.1
  • 2
    • 0001288471 scopus 로고
    • On the integration of stiff ODEs using extended backward differentiation formulae
    • J. R. Cash, On the integration of stiff ODEs using extended backward differentiation formulae, Numer. Math., 34 (1980), pp. 235-246.
    • (1980) Numer. Math. , vol.34 , pp. 235-246
    • Cash, J.R.1
  • 3
    • 0020910120 scopus 로고
    • The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
    • J. R. Cash, The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae, Comput. Math. Appl., 5 (1983), pp. 645-657.
    • (1983) Comput. Math. Appl. , vol.5 , pp. 645-657
    • Cash, J.R.1
  • 4
    • 0026873013 scopus 로고
    • An MEBDF code for stiff initial value problems
    • Code available at
    • J. R. Cash and S. Considine, An MEBDF code for stiff initial value problems, ACM Trans. Math. Software, 18 (1992), pp. 142-155. Code available at http: //www.ma.ic.ac.uk/~jcash/IVP_software/finaldae/readme.html.
    • (1992) ACM Trans. Math. Software , vol.18 , pp. 142-155
    • Cash, J.R.1    Considine, S.2
  • 7
    • 0035529774 scopus 로고    scopus 로고
    • Parallel iteration of backward differentiation formulas
    • to appear
    • J. E. Frank and P. J. van der Houwen, Parallel iteration of backward differentiation formulas, to appear in IMA J. Numer. Anal., 2000.
    • (2000) IMA J. Numer. Anal.
    • Frank, J.E.1    Van Der Houwen, P.J.2
  • 9
    • 0003466121 scopus 로고
    • The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
    • Springer-Verlag, Berlin
    • E. Hairer, C. Lubich, and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics, 1409, Springer-Verlag, Berlin, 1989.
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Lubich, C.2    Roche, M.3
  • 11
    • 0007009351 scopus 로고    scopus 로고
    • E. Hairer and G. Wanner, Radau. Available at ftp://ftp.unige.ch/pub/doc/ math/stiff/radau.f, 1998.
    • Radau.
    • Hairer, E.1    Wanner, G.2
  • 13
    • 7544232274 scopus 로고
    • Rosenbrock-type methods
    • G. Dahlquist and R. Jeltsch, eds., Bericht nr. 9. Inst. für Geometrie und Praktische Mathematik der RWTH Aachen
    • P. Kaps, Rosenbrock-type methods, in Numerical methods for stiff initial value problems, G. Dahlquist and R. Jeltsch, eds., Bericht nr. 9. Inst. für Geometrie und Praktische Mathematik der RWTH Aachen, 1981.
    • (1981) Numerical Methods for Stiff Initial Value Problems
    • Kaps, P.1
  • 15
    • 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, 38 (1998), pp. 612-617.
    • (1998) BIT , vol.38 , pp. 612-617
    • Psihoyios, G.-Y.1    Cash, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.