Adaptive spline interpolation for Hamilton-Jacobi-Bellman equations
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Publication:2497779
DOI10.1016/j.apnum.2006.03.011zbMath1100.65056OpenAlexW2039067024MaRDI QIDQ2497779
Lars Grüne, Florian Bauer, Willi Semmler
Publication date: 4 August 2006
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.011
optimal controlconvergencenumerical exampleviscosity solutionspline interpolationfixed point equationnumerical stabilityadaptive gridsadaptive discretization
Numerical optimization and variational techniques (65K10) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Discrete approximations in optimal control (49M25)
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Cites Work
- Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation
- Corrigenda: A numerical approach to the infinite horizon problem of deterministic control theory
- Using dynamic programming with adaptive grid scheme for optimal control problems in economics
- On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming
- Optimal error bounds for cubic spline interpolation
- Splines and efficiency in dynamic programming
- Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
- An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation
- Variable resolution discretization in optimal control
- An adaptive method with rigorous error control for the Hamilton-Jacobi equations. I: The one-dimensional steady state case
- Solving higher-dimensional continuous-time stochastic control problems by value function regression
- On error bounds for spline interpolation
- Numerical Solution of Continuous-State Dynamic Programs Using Linear and Spline Interpolation
- SPLINE APPROXIMATIONS TO VALUE FUNCTIONS
- Convergence of Semi-Lagrangian Approximations to Convex Hamilton--Jacobi Equations under (Very) Large Courant Numbers
- Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models
- An approximation scheme for the optimal control of diffusion processes
- Hermite Interpolation Errors for Derivatives
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- On numerical algorithm and interactive visualization for optimal control problems
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