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Volumn 19, Issue 3, 2003, Pages 341-352

Commutator-free Lie group methods

Author keywords

Commutators; Geometric integration; Lie group methods; Numerical analysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; HEAT CONDUCTION; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0037399954     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-739X(02)00161-9     Document Type: Article
Times cited : (88)

References (15)
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  • 3
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  • 7
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    • Munthe-Kaas H., Runge-Kutta methods on Lie groups. BIT. 38(1):1998;92-111.
    • (1998) BIT , vol.38 , Issue.1 , pp. 92-111
    • Munthe-Kaas, H.1
  • 8
    • 0032739660 scopus 로고    scopus 로고
    • High order Runge-Kutta methods on manifolds
    • Munthe-Kaas H., High order Runge-Kutta methods on manifolds. Appl. Numer. Math. 29:1999;115-127.
    • (1999) Appl. Numer. Math. , vol.29 , pp. 115-127
    • Munthe-Kaas, H.1
  • 10
    • 0002893406 scopus 로고    scopus 로고
    • Numerical integration of differential equations on homogeneous manifolds
    • F. Cucker, M. Shub (Eds.), Springer, Berlin
    • H. Munthe-Kaas, A. Zanna, Numerical integration of differential equations on homogeneous manifolds, in: F. Cucker, M. Shub (Eds.), Foundations of Computational Mathematics, Springer, Berlin, 1997, pp. 305-315.
    • (1997) Foundations of Computational Mathematics , pp. 305-315
    • Munthe-Kaas, H.1    Zanna, A.2
  • 12
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    • Runge-Kutta methods adapted to manifolds and based on rigid frames
    • Owren B., Marthinsen A., Runge-Kutta methods adapted to manifolds and based on rigid frames. BIT. 39(1):1999;116-142.
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    • Owren, B.1    Marthinsen, A.2
  • 13
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    • On the numerical solution of Euler-Lagrange equations
    • Potra F.A., Rheinboldt W.C., On the numerical solution of Euler-Lagrange equations. Mech. Struct. Mach. 19:1991;1-18.
    • (1991) Mech. Struct. Mach. , vol.19 , pp. 1-18
    • Potra, F.A.1    Rheinboldt, W.C.2
  • 14
    • 84954682714 scopus 로고
    • Implicit numerical integration for Euler-Lagrange equations via tangent space parametrization
    • Potra F.A., Yen J., Implicit numerical integration for Euler-Lagrange equations via tangent space parametrization. Mech. Struct. Mach. 19:1991;77-98.
    • (1991) Mech. Struct. Mach. , vol.19 , pp. 77-98
    • Potra, F.A.1    Yen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.