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An approximation scheme for the optimal control of diffusion processes
5 references·7 citing·31 second hop
An approximation scheme for the optimal control of diffusion processes (1995)An approximation scheme for the optimal c…Controlled Markov Processes and Viscosity Solutions (2005)Controlled Markov Processes a…Numerical Methods for Stochastic Control Problems in Continuous Time (1992)Numerical Methods for Stochas…Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Numerical Methods for Stochas…Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application (1983)Optimal control of diffustion…Probability Methods for Approximations in Stochastic Control and for Elliptic Equations (1977)Probability Methods for Appro…On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications (2018)On the Discretization of Some…Piecewise constant policy approximations to Hamilton–Jacobi–Bellman equations (2016)Piecewise constant policy app…An unconditionally monotone numerical scheme for the two-factor uncertain volatility model (2016)An unconditionally monotone n…A semi-Lagrangian scheme for a degenerate second order mean field game system (2015)A semi-Lagrangian scheme for …A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations (2009)A Finite Element Like Scheme …Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions (2008)Error estimates for approxima…ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS (2003)ON THE RATE OF CONVERGENCE OF…The Pricing of Options and Corporate Liabilities (1973)Stochastic Differential Equations and Diffusion Processes (1983)Backward Stochastic Differential Equations in Finance (1997)Martingale Methods in Financial Modelling (1997)Brownian Motion and Stochastic Calculus (2007)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)An introduction to stochastic partial differential equations (2006)A Dynamic Model of Optimal Capital Structure (2007)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)Controlled markov processes and viscosity solutions (1994)Option pricing: Mathematical models and computation (1994)Optimal convergence rate of the explicit finite difference scheme for American option valuation (2009)Financial Modelling with Jump Processes (2003)Option pricing when underlying stock returns are discontinuous (1976)Controlled Diffusion Processes (1980)Stochastic differential equations with reflecting boundary conditions (1984)On an Investment-Consumption Model with Transaction Costs (1996)Optimal Stopping, Free Boundary, and American Option in a Jump-Diffusion Model (1997)Weak Dynamic Programming Principle for Viscosity Solutions (2011)Stochastic controls : Hamiltonian systems and HJB equations (1999)Mean field games (2007)Finite Mean Field Games: Fictitious play and convergence to a first order continuous mean field game (2019)A policy iteration method for mean field games (2021)Jeux à champ moyen. I – Le cas stationnaire (2006)Jeux à champ moyen. II – Horizon fini et contrôle optimal (2006)Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs (1989)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Numerical Valuation of High Dimensional Multivariate American Securities (1995)Heavy traffic resource pooling in parallel‐server systems (1999)Investment Shocks and Asset Prices (2011)
this work references cited by second hop

References

  • 2005Controlled Markov Processes and Viscosity Solutions2,698 cited
  • 1990Numerical Methods for Stochastic Control Problems in Continuous Time1,400 cited
  • 1992Numerical Methods for Stochastic Control Problems in Continuous Time625 cited
  • 1977Probability Methods for Approximations in Stochastic Control and for Elliptic Equations343 cited
  • 1983Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application218 cited

Cited by

  • 2003ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS73 cited
  • 2015A semi-Lagrangian scheme for a degenerate second order mean field game system56 cited
  • 2008Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions41 cited
  • 2018On the Discretization of Some Nonlinear Fokker--Planck--Kolmogorov Equations and Applications34 cited
  • 2009A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations32 cited
  • 2016Piecewise constant policy approximations to Hamilton–Jacobi–Bellman equations28 cited
  • 2016An unconditionally monotone numerical scheme for the two-factor uncertain volatility model28 cited

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