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Volumn 31, Issue 1, 1999, Pages 1-16

Class of low order DIRK methods for a class of DAEs

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; RUNGE KUTTA METHODS;

EID: 0033196955     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00123-8     Document Type: Article
Times cited : (10)

References (14)
  • 1
    • 0025445383 scopus 로고
    • Runge-Kutta methods and differential algebraic systems
    • R. Alexander and J.J. Coyle, Runge-Kutta methods and differential algebraic systems, SIAM J. Numer. Anal. 27 (1990) 736-752.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 736-752
    • Alexander, R.1    Coyle, J.J.2
  • 4
    • 33748018109 scopus 로고    scopus 로고
    • Variable step size time integration methods for transient eddy current problems
    • in press
    • F. Cameron, R. Piché and K. Forsman, Variable step size time integration methods for transient eddy current problems, IEEE Trans. Magn. (1998, in press).
    • (1998) IEEE Trans. Magn.
    • Cameron, F.1    Piché, R.2    Forsman, K.3
  • 5
    • 84968518126 scopus 로고
    • Semiexplicit a-stable Runge-Kutta methods
    • G.J. Cooper and A. Sayfy, Semiexplicit a-stable Runge-Kutta methods, Math. Comp. 33 (1979) 541-556.
    • (1979) Math. Comp. , vol.33 , pp. 541-556
    • Cooper, G.J.1    Sayfy, A.2
  • 8
    • 0003321806 scopus 로고
    • The numerical solution of differential - Algebraic systems by Runge-Kutta methods
    • Springer, Berlin
    • E. Hairer, C. Lubich and M. Roche, The numerical solution of differential - Algebraic systems by Runge-Kutta methods, Lecture Notes in Mathematics, Vol. 1409 (Springer, Berlin, 1989).
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Lubich, C.2    Roche, M.3
  • 10
    • 0030084487 scopus 로고    scopus 로고
    • Analysis and implementation of TR-EDF2
    • M. Hosea and L. Shampine, Analysis and implementation of TR-EDF2, Appl. Numer. Math. 20 (1996) 21-37.
    • (1996) Appl. Numer. Math. , vol.20 , pp. 21-37
    • Hosea, M.1    Shampine, L.2
  • 11
    • 0000279884 scopus 로고
    • Convergence of a class of Runge-Kutta methods for differential algebraic systems of index 2
    • L. Jay, Convergence of a class of Runge-Kutta methods for differential algebraic systems of index 2, BIT 33 (1993) 137-150.
    • (1993) BIT , vol.33 , pp. 137-150
    • Jay, L.1
  • 12
    • 4243893278 scopus 로고
    • Unpublished manuscript, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim
    • A. Kvæernø, More and, to be Hoped, Better DIRK Methods for the Solution of Stiff Odes, Unpublished manuscript, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim (1992).
    • (1992) More and, to be Hoped, Better DIRK Methods for the Solution of Stiff Odes
    • Kvæernø, A.1
  • 13
    • 0009454543 scopus 로고
    • Linearly implicit extrapolation methods for differential - Algebraic systems
    • C. Lubich, Linearly implicit extrapolation methods for differential - Algebraic systems, Numer. Math. 55 (1989) 197-211.
    • (1989) Numer. Math. , vol.55 , pp. 197-211
    • Lubich, C.1
  • 14
    • 0004162845 scopus 로고
    • Theory and problems of state space and linear systems
    • McGraw-Hill, New York
    • D.M. Wiberg, Theory and problems of state space and linear systems, Schaum's Outline Series (McGraw-Hill, New York, 1971).
    • (1971) Schaum's Outline Series
    • Wiberg, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.