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The exact discrete Lagrangian function on a Lie groupoid: theory and applications Marrero, Juan Carlos
Description
In this talk, I will present some recent results on the geometric construction
of the exact discrete Lagrangian function associated with a continuous regular Lagrangian
function. This Lagrangian function is defined on the Lie algebroid of a Lie groupoid. In the
last part of the talk, I will discuss two applications of the previous construction: i) Analysis
of the error between the exact solutions of the Euler-Lagrange equations for the continuous
Lagrangian function and the discrete trajectories derived by a variational integrator and ii)
A relation with the Hamilton-Jacobi theory for the Hamiltonian function associated with
the regular Lagrangian function.
Item Metadata
| Title |
The exact discrete Lagrangian function on a Lie groupoid: theory and applications
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2017-04-17T16:53
|
| Description |
In this talk, I will present some recent results on the geometric construction
of the exact discrete Lagrangian function associated with a continuous regular Lagrangian
function. This Lagrangian function is defined on the Lie algebroid of a Lie groupoid. In the
last part of the talk, I will discuss two applications of the previous construction: i) Analysis
of the error between the exact solutions of the Euler-Lagrange equations for the continuous
Lagrangian function and the discrete trajectories derived by a variational integrator and ii)
A relation with the Hamilton-Jacobi theory for the Hamiltonian function associated with
the regular Lagrangian function.
|
| Extent |
42 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: University of La Laguna
|
| Series | |
| Date Available |
2017-10-14
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0357054
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International