ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS
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Publication:3043554
DOI10.1142/S0218202503002660zbMath1050.35042MaRDI QIDQ3043554
Publication date: 6 August 2004
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stopping times; optimal stopping problems; gambling theory (60G40) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order parabolic equations (35K15) Discrete approximations in optimal control (49M25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Variational inequalities and the pricing of American options
- A numerical approach to the infinite horizon problem of deterministic control theory
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming
- Discrete dynamic programming and viscosity solutions of the Bellman equation
- Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations
- Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Two approximations of solutions of Hamilton-Jacobi equations
- User’s guide to viscosity solutions of second order partial differential equations
- On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations
- An approximation scheme for the optimal control of diffusion processes
- Some Estimates for Finite Difference Approximations