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Volumn 40, Issue 1, 2000, Pages 279-293

Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FEEDBACK CONTROL; FINITE DIFFERENCE METHOD; FUNCTIONS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; STATE SPACE METHODS;

EID: 0034172421     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85016-6     Document Type: Article
Times cited : (53)

References (12)
  • 2
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M.G. Crandall, P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. AMS 277 (1) (1983) 1-42.
    • (1983) Trans. AMS , vol.277 , Issue.1 , pp. 1-42
    • Crandall, M.G.1    Lions, P.L.2
  • 3
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-Jacobi equations
    • M.G. Crandall, L.C. Evans, P.L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. AMS 282 (2) (1984) 487-502.
    • (1984) Trans. AMS , vol.282 , Issue.2 , pp. 487-502
    • Crandall, M.G.1    Evans, L.C.2    Lions, P.L.3
  • 5
    • 0004232356 scopus 로고
    • Generalised solutions of Hamilton-Jacobi Equations
    • Longman Scientific and Technical, Harbour
    • P.L. Lions, Generalised solutions of Hamilton-Jacobi Equations, Pitman Research Notes in Mathematics, Vol. 69, Longman Scientific and Technical, Harbour, 1982.
    • (1982) Pitman Research Notes in Mathematics , vol.69
    • Lions, P.L.1
  • 6
    • 0001400968 scopus 로고
    • A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
    • J. Douglas Jr., R.E. Ewing, M.F. Wheeler, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media, RAIRO Anal. Numér. 17 (1983) 249-265.
    • (1983) RAIRO Anal. Numér. , vol.17 , pp. 249-265
    • Douglas Jr., J.1    Ewing, R.E.2    Wheeler, M.F.3
  • 7
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • J. Douglas Jr., T.F. Russell, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal. 19 (1982) 871-885.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871-885
    • Douglas Jr., J.1    Russell, T.F.2
  • 8
    • 0001866020 scopus 로고
    • On a new principle of superposition for optimization problems
    • V.P. Maslov, On a new principle of superposition for optimization problems, Russian Maths. Surveys 42 (3) (1987) 43-84.
    • (1987) Russian Maths. Surveys , vol.42 , Issue.3 , pp. 43-84
    • Maslov, V.P.1
  • 10
    • 85031562733 scopus 로고    scopus 로고
    • An upwind finite difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations
    • to appear
    • S. Wang, F. Gao, K.L. Teo, An upwind finite difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations, IMA J. Math. Control Appl., to appear.
    • IMA J. Math. Control Appl.
    • Wang, S.1    Gao, F.2    Teo, K.L.3
  • 11
    • 0003997741 scopus 로고    scopus 로고
    • User's Guide for FFSQP Version 3.7: A Fortran Code for solving Constrained Optimization Problems, Generating Iterates Satisfying All Inequality and Linear Constraints
    • System Research Center, University of Maryland
    • J.L. Zhou, A.L. Tits, C.T. Lawrence, User's Guide for FFSQP Version 3.7: A Fortran Code for solving Constrained Optimization Problems, Generating Iterates Satisfying All Inequality and Linear Constraints, Technical Report TR92-107-r2, System Research Center, University of Maryland, 1997.
    • (1997) Technical Report TR92-107-r2
    • Zhou, J.L.1    Tits, A.L.2    Lawrence, C.T.3
  • 12
    • 38248999039 scopus 로고
    • Verification theorems within the framework of viscosity solutions
    • X.Y. Zhou, Verification theorems within the framework of viscosity solutions, J. Math. Anal. Appl. 177 (1993) 208-225.
    • (1993) J. Math. Anal. Appl. , vol.177 , pp. 208-225
    • Zhou, X.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.