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Volumn 20, Issue 3, 2007, Pages 157-175

New integrating methods for time-varying linear systems and lie-group computations

Author keywords

Lie group solver; Nilpotent matrix; Quadratic invariant; Time varying linear system

Indexed keywords

COMPUTATION THEORY; FUNCTION EVALUATION; INTEGRATION; LINEAR SYSTEMS; QUADRATIC PROGRAMMING;

EID: 34547749429     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 24944539831 scopus 로고    scopus 로고
    • Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method
    • Altafini, C. (2005): Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method. Sys. & Cont. Lett., vol. 54, pp. 1121-1130.
    • (2005) Sys. & Cont. Lett , vol.54 , pp. 1121-1130
    • Altafini, C.1
  • 2
    • 51249166420 scopus 로고
    • Numerical integration of ordinary differential equations on manifold
    • Crouch, P. E.; Grossman, R. (1993) Numerical integration of ordinary differential equations on manifold. J. Nonlinear Sci., vol. 3, pp. 1-33.
    • (1993) J. Nonlinear Sci , vol.3 , pp. 1-33
    • Crouch, P.E.1    Grossman, R.2
  • 3
    • 0002310121 scopus 로고
    • Die symbolische exponential formel in der gruppen theorie
    • Hausdorff, F. (1906): Die symbolische exponential formel in der gruppen theorie. Leipziger Ber., vol. 58, pp. 19-48.
    • (1906) Leipziger Ber , vol.58 , pp. 19-48
    • Hausdorff, F.1
  • 4
    • 0001351202 scopus 로고
    • Solving linear ordinary differential equations by exponentials of iterated commutators
    • Iserles, A. (1984): Solving linear ordinary differential equations by exponentials of iterated commutators. Num. Math., vol. 45, pp. 183-199.
    • (1984) Num. Math , vol.45 , pp. 183-199
    • Iserles, A.1
  • 5
    • 0346968523 scopus 로고    scopus 로고
    • On the solution of linear differential equations in Lie groups
    • Iserles, A.; Norsett, S. P. (1999) On the solution of linear differential equations in Lie groups. Phil. Trans. Roy. Soc. London Ser. A, vol. 357, pp. 983-1019.
    • (1999) Phil. Trans. Roy. Soc. London Ser. A , vol.357 , pp. 983-1019
    • Iserles, A.1    Norsett, S.P.2
  • 6
    • 0035545902 scopus 로고    scopus 로고
    • Time symmetry and higher-order Magnus methods
    • Iserles, A.; Norsett, S. P.; Rasmussen, A. F. (2001): Time symmetry and higher-order Magnus methods. Appl. Num. Math., vol. 39, pp. 379-401.
    • (2001) Appl. Num. Math , vol.39 , pp. 379-401
    • Iserles, A.1    Norsett, S.P.2    Rasmussen, A.F.3
  • 8
    • 0035480574 scopus 로고    scopus 로고
    • Cone of non-linear dynamical system and group preserving schemes
    • Liu, C.-S. (2001): Cone of non-linear dynamical system and group preserving schemes. Int. J. Non-Linear Mech., vol. 36, pp. 1047-1068.
    • (2001) Int. J. Non-Linear Mech , vol.36 , pp. 1047-1068
    • Liu, C.-S.1
  • 9
    • 8344229142 scopus 로고    scopus 로고
    • Nonlinear Lorentzian and Hamiltonian formulations and their relations
    • Liu, C.-S. (2002): Nonlinear Lorentzian and Hamiltonian formulations and their relations. Int. J. Appl. Math., vol. 10, pp. 59-97.
    • (2002) Int. J. Appl. Math , vol.10 , pp. 59-97
    • Liu, C.-S.1
  • 10
    • 33846456986 scopus 로고    scopus 로고
    • The computations of large rotation through an index two nilpotent equation
    • Liu, C.-S. (2006a): The computations of large rotation through an index two nilpotent equation. CMES: Computer Modeling in Engineering & Sciences, vol. 16, pp. 157-175.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.16 , pp. 157-175
    • Liu, C.-S.1
  • 11
    • 33646784731 scopus 로고    scopus 로고
    • Preserving constraints of differential equations by numerical methods based on integrating factors
    • Liu, C.-S. (2006b): Preserving constraints of differential equations by numerical methods based on integrating factors. CMES: Computer Modeling in Engineering & Sciences, vol. 12, pp. 83-107.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , pp. 83-107
    • Liu, C.-S.1
  • 12
    • 84940252991 scopus 로고
    • On the exponential solution of differential equations for a linear operator
    • Magnus, W. (1954): On the exponential solution of differential equations for a linear operator. Commu. Pure Appl. Math., vol. 7, pp. 649-673.
    • (1954) Commu. Pure Appl. Math , vol.7 , pp. 649-673
    • Magnus, W.1
  • 13
    • 0347669558 scopus 로고    scopus 로고
    • Runge-Kutta methods on Lie groups
    • Munthe-Kaas, H. (1998): Runge-Kutta methods on Lie groups. BIT, vol. 38, pp. 92-111.
    • (1998) BIT , vol.38 , pp. 92-111
    • Munthe-Kaas, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.