000 00406nam a2200145Ia 4500
999 _c170305
_d170305
020 _a0387951393
040 _cCUS
082 _a518.28
_bKUS/N
100 _aKushner, Harold J.
245 0 _aNumerical methods for stochastic control problems in continuous time/
_cHarold J. Kushner and Paul G. Dupuis
250 _a2nd ed.
260 _aNew York:
_bSpringer,
_c2001.
300 _axii, 475 p. :
_bill. ;
_c25 cm.
440 _a(Applications of mathematics),
_v24
505 _a1. Review of Continuous Time Models -- 2. Controlled Markov Chains -- 3. Dynamic Programming Equations -- 4. The Markov Chain Approximation Method: Introduction -- 5. Construction of the Approximating Markov Chains -- 6. Computational Methods for Controlled Markov Chains -- 7. The Ergodic Cost Problem: Formulation and Algorithms -- 8. Heavy Traffic and Singular Control -- 9. Weak Convergence and the Characterization of Processes -- 10. Convergence Proofs -- 11. Convergence for Reflecting Boundaries, Singular Control, and Ergodic Cost Problems -- 12. Finite Time Problems and Nonlinear Filtering -- 13. Controlled Variance and Jumps -- 14. Problems from the Calculus of Variations: Finite Time Horizon -- 15. Problems from the Calculus of Variations: Infinite Time Horizon -- 16. The Viscosity Solution Approach.
650 _aMarkov processes
650 _aNumerical analysis
650 _aStochastic control theory
650 _aProbabilities
650 _aSystem theory
650 _aMathematics
700 _aDupuis, Paul
942 _cWB16