Computational methods for option pricing, Frontiers in applied mathematics. SIAM, 2005. ,
DOI : 10.1137/1.9780898717495
URL : https://hal.archives-ouvertes.fr/hal-00111740
On an Investment-Consumption Model with Transaction Costs, SIAM Journal on Control and Optimization, vol.34, issue.1, pp.329-364, 1996. ,
DOI : 10.1137/S0363012993247159
Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991. ,
DOI : 10.1109/CDC.1990.204046
FUNCTIONAL EQUATIONS IN THE THEORY OF DYNAMIC PROGRAMMING. V. POSITIVITY AND QUASI-LINEARITY, Proc. Nat. Acad. Sci. USA, pp.743-746, 1955. ,
DOI : 10.1073/pnas.41.10.743
Dynamic programming, 1961. ,
Primal-Dual Strategy for Constrained Optimal Control Problems, SIAM Journal on Control and Optimization, vol.37, issue.4, pp.1176-1194, 1999. ,
DOI : 10.1137/S0363012997328609
URL : https://hal.archives-ouvertes.fr/hal-00022023
Numerical approximation of a superreplication problem under gamma constraints. in preparation, 2007. ,
Commande et optimisation de systèmes dynamiques. LeséditionsLeséditions de l'´ ecole polytechnique, 2005. ,
Combined stochastic control and optimal stopping, and application to numerical approximation of combined stochastic and impulse control, Tr. Mat. Inst. SteklovaStokhast. Finans. Mat, vol.237, pp.149-172, 2002. ,
The Primal-Dual Active Set Strategy as a Semismooth Newton Method, SIAM Journal on Optimization, vol.13, issue.3, pp.865-888, 2002. ,
DOI : 10.1137/S1052623401383558
Dynamic programming and Markov processes. The Technology Press of the MIT, J. Wiley. Cambridge MA, 1960. ,
Optimal Control of Elliptic Variational Inequalities, Applied Mathematics and Optimization, vol.41, issue.3, pp.343-364, 2000. ,
DOI : 10.1007/s002459911017
Semi-smooth newton methods for variationnal inequalities of the first kind, pp.41-62, 2003. ,
Parabolic variational inequalities: The Lagrange multiplier approach, Journal de Math??matiques Pures et Appliqu??es, vol.85, issue.3, pp.415-449, 2006. ,
DOI : 10.1016/j.matpur.2005.08.005
Introduction au calcul stochastique appliquéappliqué`appliquéà la finance, Ellipses, 1997. ,
Optimal risk control and dividend policies under excess of loss reinsurance, Stochastics An International Journal of Probability and Stochastic Processes, vol.8, issue.5, pp.455-476, 2005. ,
DOI : 10.1214/aoap/1019737674
Optimal stopping, free boundary, and American option in a jump-diffusion model, Applied Mathematics & Optimization, vol.60, issue.2, pp.145-164, 1997. ,
DOI : 10.1007/BF02683325
Optimisation et Contrôle Stochastique AppliquésAppliqués`Appliquésà la Finance ,
On the Convergence of Policy Iteration in Stationary Dynamic Programming, Mathematics of Operations Research, vol.4, issue.1, pp.60-69, 1979. ,
DOI : 10.1287/moor.4.1.60
Accuracy of Numerical Solutions Using the Euler Equation Residuals, Econometrica, vol.68, issue.6, pp.1377-1402, 2000. ,
DOI : 10.1111/1468-0262.00165
Convergence Properties of Policy Iteration, SIAM Journal on Control and Optimization, vol.42, issue.6, pp.2094-2115, 2004. ,
DOI : 10.1137/S0363012902399824
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