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Volumn 41, Issue 3, 2001, Pages 599-628

On the numerical solution of involutive ordinary differential systems: Higher order methods

Author keywords

Differential algebraic equations; Integral manifolds; Runge Kutta methods

Indexed keywords


EID: 0041527456     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021927531159     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0030621831 scopus 로고    scopus 로고
    • Sequential regularization methods for nonlinear higher index DAEs
    • U. Ascher and P. Lin, Sequential regularization methods for nonlinear higher index DAEs, SIAM J. Sci. Comp., 18 (1997), pp. 160-181.
    • (1997) SIAM J. Sci. Comp. , vol.18 , pp. 160-181
    • Ascher, U.1    Lin, P.2
  • 6
    • 0004193838 scopus 로고    scopus 로고
    • Reports on Computer Algebra, no. 21, Centre for Computer Algebra, University of Kaiserslautern, June
    • G.-M. Greuel, G. Pfister, and H. Schönemann, Singular version 1.2 User Manual, Reports on Computer Algebra, no. 21, Centre for Computer Algebra, University of Kaiserslautern, June 1998.
    • (1998) Singular Version 1.2 User Manual
    • Greuel, G.-M.1    Pfister, G.2    Schönemann, H.3
  • 7
    • 0001394496 scopus 로고
    • Solving Ordinary Differential Equations I, Nonstiff Problems
    • Springer-Verlag, Berlin
    • E. Hairer, S. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer Series in Comp. Math., Vol. 8, Springer-Verlag, Berlin, 1987.
    • (1987) Springer Series in Comp. Math. , vol.8
    • Hairer, E.1    Nørsett, S.2    Wanner, G.3
  • 8
    • 0031129203 scopus 로고    scopus 로고
    • Regularization of higher-index DAEs with rank-deficient constraints
    • L. Petzold, Y. Ren, and T. Maly, Regularization of higher-index DAEs with rank-deficient constraints, SIAM J. Sci. Comp., 18 (1997), pp. 753-774.
    • (1997) SIAM J. Sci. Comp. , vol.18 , pp. 753-774
    • Petzold, L.1    Ren, Y.2    Maly, T.3
  • 9
    • 0003209247 scopus 로고
    • The Geometry of Jet Bundles
    • Cambridge University Press, Cambridge
    • D. Saunders, The Geometry of Jet Bundles, London Math. Soc., Lecture Notes Series, Vol. 142, Cambridge University Press, Cambridge, 1989.
    • (1989) London Math. Soc., Lecture Notes Series , vol.142
    • Saunders, D.1
  • 13
    • 0034288185 scopus 로고    scopus 로고
    • On the numerical solution of involutive ordinary differential systems: Introduction and numerical results
    • J. Tuomela and T. Arponen, On the numerical solution of involutive ordinary differential systems: Introduction and numerical results, IMA J. Numer. Anal., 20 (2000), pp. 561-599.
    • (2000) IMA J. Numer. Anal. , vol.20 , pp. 561-599
    • Tuomela, J.1    Arponen, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.