Abstract
The main contribution of this paper is to present a canonical choice of a Hamiltonian theory corresponding to the theory of discrete Lagrangian mechanics. We make use of Lagrange duality and follow a path parallel to that used for construction of the Pontryagin principle in optimal control theory. We use duality results regarding sensitivity and separability to show the relationship between generating functions and symplectic integrators. We also discuss connections to optimal control theory and numerical algorithms.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 5509-5519 |
| Number of pages | 11 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 19 |
| DOIs | |
| State | Published - May 12 2006 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy