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A numerical method for a calculus of variations problem with discontinuous integrand

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Applied Stochastic Analysis

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 177))

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References

  1. K.-L. Chung. A Course in Probability Theory. Academic Press, New York, second edition, 1974.

    Google Scholar 

  2. R. Courant and D. Hilbert. Methods of Mathematical Physics. Volume 1, Interscience, New York, first english edition, 1937.

    Google Scholar 

  3. P. Dupuis and R.S. Ellis. Large deviations for Markov processes with discontinuous statistics, II: Random walks. Technical Report, University of Massachusetts, 1990. To appear in Probab. Th. Rel. Fields.

    Google Scholar 

  4. P. Dupuis and R.S. Ellis. Large deviations for Markov processes with discontinuous statistics, III: Diffusions. Technical Report, University of Massachusetts, 1991.

    Google Scholar 

  5. P. Dupuis, H. Ishii, and H.M. Soner. A viscosity solution approach to the asymptotic analysis of queueing systems. The Annals of Probab., 18:226–255, 1990.

    Google Scholar 

  6. M.I. Freidlin and A.D. Wentzell. Random Perturbations of Dynamical Systems. Springer-Verlag, New York, 1984.

    Google Scholar 

  7. H. Goldstein. Classical Mechanics. Addison-Wesley, Reading, Massachusetts, 1950.

    Google Scholar 

  8. A.D. Ioffe and V.M. Tikhomirov. Theory of Extremal Problems. Volume 6 of Studies in Mathematics and Its Applications, North-Holland, Amsterdam, 1979.

    Google Scholar 

  9. H.J. Kushner. Numerical methods for stochastic control problems in continuous time. SIAM J. Control and Optimization, 28:999–1048, 1990.

    Article  Google Scholar 

  10. H.J. Kushner. Probability Methods for Approximations in Stochastic Control and for Elliptic Equations. Academic Press, New York, 1977.

    Google Scholar 

  11. H.J. Kushner. Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems. Volume 3 of Systems and control, Birkhaeuser, Boston, 1990.

    Google Scholar 

  12. S.R.S. Varadhan. Large Deviations and Applications. CBMS-NSF Regional Conference Series in Mathematics, SIAM, Philadelphia, 1984.

    Google Scholar 

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Ioannis Karatzas Daniel Ocone

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© 1992 Springer-Verlag

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Dupuis, P. (1992). A numerical method for a calculus of variations problem with discontinuous integrand. In: Karatzas, I., Ocone, D. (eds) Applied Stochastic Analysis. Lecture Notes in Control and Information Sciences, vol 177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007050

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  • DOI: https://doi.org/10.1007/BFb0007050

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55296-3

  • Online ISBN: 978-3-540-47017-5

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