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Volumn 89, Issue 4, 2001, Pages 669-690

Higher order numerical schemes for affinely controlled nonlinear systems

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Indexed keywords


EID: 0035597302     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000279     Document Type: Article
Times cited : (46)

References (15)
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    • Stochastic versus deterministic numerical ODE integration
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    • P. Deuflhard: Stochastic versus deterministic numerical ODE integration. In: E. Platen (ed.), Proc. 1st Workshop on Stochastic Numerics, Berlin, WIAS Berlin, Preprint Nr. 21 (1992), 16-20
    • (1992) Proc. 1st Workshop on Stochastic Numerics , vol.21 , pp. 16-20
    • Deuflhard, P.1
  • 5
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    • Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations
    • M. Falcone, R. Ferretti: Discrete time high-order schemes for viscosity solutions of Hamilton-Jacobi-Bellman equations. Numer. Math. 67 (1994), 315-344
    • (1994) Numer. Math. , vol.67 , pp. 315-344
    • Falcone, M.1    Ferretti, R.2
  • 6
    • 0031375029 scopus 로고    scopus 로고
    • Higher-order approximations of linear control systems via Runge-Kutta schemes
    • R. Ferretti: Higher-order approximations of linear control systems via Runge-Kutta schemes. Computing 58 (1997), 351-364
    • (1997) Computing , vol.58 , pp. 351-364
    • Ferretti, R.1
  • 7
    • 0003336737 scopus 로고
    • The integrals of Lebesgue, Denjoy, Perron, and Henstock
    • Providence, RI: American Mathematical Society
    • R.A. Gordon: The Integrals of Lebesgue, Denjoy, Perron, and Henstock. Graduate Studies in Mathematics, Vol. 4. Providence, RI: American Mathematical Society, 1994
    • (1994) Graduate Studies in Mathematics , vol.4
    • Gordon, R.A.1
  • 8
    • 0040453725 scopus 로고    scopus 로고
    • An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation
    • L. Grüne: An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation. Numer. Math. 75 (1997), 319-337
    • (1997) Numer. Math. , vol.75 , pp. 319-337
    • Grüne, L.1
  • 9
    • 24844439646 scopus 로고    scopus 로고
    • Preprint 26/99, DFG-Schwerpunkt "Ergodentheorie, Analysis und effiziente Simulation dynamischer Systeme". BIT-Numerical Mathematics (to appear)
    • L. Grüne, P. E. Kloeden: Pathwise approximation of random ordinary differential equations. Preprint 26/99, DFG-Schwerpunkt "Ergodentheorie, Analysis und effiziente Simulation dynamischer Systeme". BIT-Numerical Mathematics (to appear)
    • Pathwise Approximation of Random Ordinary Differential Equations
    • Grüne, L.1    Kloeden, P.E.2
  • 11
    • 0012274233 scopus 로고
    • Numerical approximation of reachable sets and control sets
    • G. Häckl: Numerical approximation of reachable sets and control sets. Random Comput. Dyn. 1 (1992-1993), 371-394
    • (1992) Random Comput. Dyn. , vol.1 , pp. 371-394
    • Häckl, G.1
  • 15
    • 0031233819 scopus 로고    scopus 로고
    • On the time discretization of control systems
    • V. Veliov: On the time discretization of control systems, SIAM J. Control Optim. 35 (1997), 1470-1486
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1470-1486
    • Veliov, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.