Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control

Optimal feedback control arises in different areas such as aerospace engineering, chemical processing, resource economics, etc. In this context, dynamic programming requires the solution of fully nonlinear Hamilton-Jacobi-Bellman equations. This book presents the state of the art in the numerics of such problems using finite elements, semi-Lagrangian schemes, sparse grid and high-dimensional approximation, and model reduction techniques.