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[Savannah-register-public] [task #12709] Submission of spectral variatio

From: roberto porcu
Subject: [Savannah-register-public] [task #12709] Submission of spectral variational integrator
Date: Wed, 19 Jun 2013 15:50:08 +0000
User-agent: Mozilla/5.0 (X11; Linux i686) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/27.0.1453.93 Safari/537.36


                 Summary: Submission of spectral variational integrator
                 Project: Savannah Administration
            Submitted by: robbb88
            Submitted on: mer 19 giu 2013 15:50:07 GMT
         Should Start On: mer 19 giu 2013 00:00:00 GMT
   Should be Finished on: sab 29 giu 2013 00:00:00 GMT
                Category: Project Approval
                Priority: 5 - Normal
                  Status: None
                 Privacy: Public
        Percent Complete: 0%
             Assigned to: None
             Open/Closed: Open
         Discussion Lock: Any
                  Effort: 0.00



A new project has been registered at Savannah 
This project account will remain inactive until a site admin approves or
discards the registration.

= Registration Administration =

While this item will be useful to track the registration process, *approving
or discarding the registration must be done using the specific Group
<> page*,
accessible only to site administrators, effectively *logged as site
administrators* (superuser):

* Group Administration

= Registration Details =

* Name: *spectral variational integrator*
* System Name:  *specvarint*
* Type: non-GNU software and documentation
* License: GNU General Public License v2 or later


==== Description: ====
This project is about Spectral Variational Integrators that are symplectic
methods useful to solve Hamiltonian's equations. The code is written for
Octave. These are spectral methods that use Legendre polynomials for the
function basis and Gauss quadrature rule for the numerical quadrature.
The style used tends to reproduce Matlab ode45 style. 
So the function @spectralvarint takes as inputs the functionHandle describing
the Hamiltonian of the system, the vector of times, initial conditions (that
are generalized coordinates and generalized momenta), and some options.
The output variables are a time vector and a matrix containing calculated
coordinates and momenta. The program implements also a timestep-adaptivity on
the basis of Richardson extrapolation. 
This function could be included in odepkg or in a new package created
specially for geometrical integrators.

==== Other Software Required: ====
octave odepkg

==== Tarball URL: ====


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