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Volumn 21, Issue 1, 2001, Pages 367-385

Parallel iteration of the extended backward differentiation formulas

Author keywords

Extended BDFs; Initial value problems; Iteration methods; Numerical analysis; Parallelism

Indexed keywords

INITIAL VALUE PROBLEMS; LINEAR SYSTEMS; NEWTON-RAPHSON METHOD; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0035529774     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.1.367     Document Type: Article
Times cited : (8)

References (15)
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    • CASH, J. R. 1980 On the integration of stiff ODEs using extended backward differentiation formulae. Numer. Math. 34, 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
    • CASH, J. R. 1983 The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae. Comput. Math. Appl. 5, 645-657. Software available at http://www.ma.ic.ac.uk/jcash/IVP_software/finaldae/readme.html.
    • (1983) Comput. Math. Appl. , vol.5 , pp. 645-657
    • Cash, J.R.1
  • 5
    • 0007061792 scopus 로고    scopus 로고
    • Diagonalizable extended backward differentiation formulas
    • FRANK, J. E. & VAN DER HOUWEN, P. J. 2000 Diagonalizable extended backward differentiation formulas. BIT 40, 497-512.
    • (2000) BIT , vol.40 , pp. 497-512
    • Frank, J.E.1    Van Der Houwen, P.J.2
  • 6
    • 0027294474 scopus 로고
    • Massive parallelism across time in ODEs
    • Proc. Int. Conf. on Parallel Methods for Ordinary Differential Equations, Grado (It), Sept10-13, 1991
    • GEAR, C. W. 1993 Massive parallelism across time in ODEs. Appl. Numer. Math. 11, 27-44 Proc. Int. Conf. on Parallel Methods for Ordinary Differential Equations, Grado (It), Sept10-13, 1991.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 27-44
    • Gear, C.W.1
  • 9
    • 0007009351 scopus 로고    scopus 로고
    • HAIRER, E. & WANNER, G. 1998 RADAU. Available at ftp://ftp.unige.ch/pub/doc/math/ stiff/radau.f.
    • (1998) RADAU
    • Hairer, E.1    Wanner, G.2
  • 10
    • 7544232274 scopus 로고
    • Rosenbrock-type methods
    • Bericht nr. 9. (G. Dahlquist & R. Jeltsch eds). Inst. für Geometrie und Praktische Mathematik der RWTH Aachen, Germany
    • KAPS, P. 1981 Rosenbrock-type methods. Numerical Methods for Stiff Initial Value Problems, Bericht nr. 9. (G. Dahlquist & R. Jeltsch eds). Inst. für Geometrie und Praktische Mathematik der RWTH Aachen, Germany.
    • (1981) Numerical Methods for Stiff Initial Value Problems
    • Kaps, P.1
  • 13
    • 0007013790 scopus 로고    scopus 로고
    • A stability result for general linear methods with characteristic function having real poles only
    • PSIHOYIOS, G.-Y. & CASH, J. R. 1998 A stability result for general linear methods with characteristic function having real poles only. BIT 38, 612-617.
    • (1998) BIT , vol.38 , pp. 612-617
    • Psihoyios, G.-Y.1    Cash, J.R.2
  • 14
    • 0005354884 scopus 로고
    • The solution of a set of reaction rate equations
    • (J. Walsh ed.). Academic
    • ROBERTSON, H. H. 1966 The solution of a set of reaction rate equations. Numerical Analysis, an Introduction. (J. Walsh ed.). Academic, pp 178-182.
    • (1966) Numerical Analysis, an Introduction , pp. 178-182
    • Robertson, H.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.