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Volumn 103, Issue 1, 2006, Pages 1-10

Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control

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EID: 33644748478     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0661-y     Document Type: Article
Times cited : (57)

References (14)
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    • Large scale direct optimal control applied to a re-entry problem
    • Bonnans, J.F., Launay, G.: Large scale direct optimal control applied to a re-entry problem. AIAA J. of Guidance, Control and Dynamics 21, 996-1000 (1998)
    • (1998) AIAA J. of Guidance, Control and Dynamics , vol.21 , pp. 996-1000
    • Bonnans, J.F.1    Launay, G.2
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    • Computation of order conditions for symplectic partitioned runge-kutta schemes with application to optimal control
    • INRIA
    • Bonnans, J.F., Laurent-Varin, J.: Computation of order conditions for symplectic partitioned runge-kutta schemes with application to optimal control. Rapport de recherche RR-5398, INRIA, 2004. http://www.inria.fr/rrrt/rr-5398.html
    • (2004) Rapport de Recherche , vol.RR-5398
    • Bonnans, J.F.1    Laurent-Varin, J.2
  • 6
    • 0035605971 scopus 로고    scopus 로고
    • The Euler approximation in state constrained optimal control
    • Dontchev, A.L., Hager, W.W.: The Euler approximation in state constrained optimal control. Math. Comput. 70, 173-203 (2001)
    • (2001) Math. Comput. , vol.70 , pp. 173-203
    • Dontchev, A.L.1    Hager, W.W.2
  • 7
    • 0034453343 scopus 로고    scopus 로고
    • Second-order Runge-Kutta approximations in control constrained optimal control
    • electronic
    • Dontchev, A.L., Hager, W.W., Veliov, V.M.: Second-order Runge-Kutta approximations in control constrained optimal control. SIAM J. Numer. Anal. 38, 202-226 (2000) (electronic)
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 202-226
    • Dontchev, A.L.1    Hager, W.W.2    Veliov, V.M.3
  • 8
    • 0034550013 scopus 로고    scopus 로고
    • Runge-Kutta methods in optimal control and the transformed adjoint system
    • Hager, W.: Runge-Kutta methods in optimal control and the transformed adjoint system. Numerische Mathematik 87(2), 247-282 (2000)
    • (2000) Numerische Mathematik , vol.87 , Issue.2 , pp. 247-282
    • Hager, W.1
  • 12
    • 0032785515 scopus 로고    scopus 로고
    • The advantages of forward thinking in generating rooted and free trees
    • Li, G., Ruskey, F.: The advantages of forward thinking in generating rooted and free trees. In: 10th Annual ACM-SIAM symposium on discrete algorithms (SODA), 1999. http://www.theory.csc.UVic.CA/fruskey/ ou http://www.theory.csc.UVic.CA/ cos
    • (1999) 10th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)
    • Li, G.1    Ruskey, F.2
  • 13
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    • On order conditions for partitioned symplectic methods
    • Murua, A.: On order conditions for partitioned symplectic methods. SIAM J. Numer. Anal. 34, 2204-2211 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 2204-2211
    • Murua, A.1
  • 14
    • 0000416211 scopus 로고    scopus 로고
    • Symplectic Runge-Kutta schemes. I. Order conditions
    • Sofroniou, M., Oevel, W.: Symplectic Runge-Kutta schemes. I. Order conditions. SIAM J. Numer. Anal. 34, 2063-2086 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 2063-2086
    • Sofroniou, M.1    Oevel, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.