Search
Code Directory
 ASP
 ASP.NET
 C/C++
 CFML
 CGI/PERL
 Delphi
 Development
 Flash
 HTML
 Java
 JavaScript
 Pascal
 PHP
 Python
 SQL
 Tools
 Visual Basic & VB.NET
 XML
New Code
Spire.PDF for Java 2.7.8
Database Workbench Pro 5.6.10.0
The C# PDF Library 2020.1.5
CAD-Viewer 3DVBVIEW V4
dotConnect for SQLite 5.15
LuaStudio 9.92
EntityDAC 2.3
Devart ODBC Driver for QuickBooks 2.0
phpEnter 5.1.
Udemy Clone script 2.01
VisualNEO Web 19.11.7
VisualNEO for Windows 19.4.29.0
SentiVeillance SDK Trial 7.3
Devart ODBC Driver for PostgreSQL 3.2
SecureBridge 9.2
Top Code
phpEnter 5.1.
Single Leg MLM 1.2.1
Azizi search engine script PHP 4.1.10
Paste phpSoftPro 1.4.1
Extreme Injector 3.7
Deals and Discounts Website Script 1.0.2
ADO.NET Provider for ExactTarget 1.0
Solid File System OS edition 5.1
Classified Ad Lister 1.0
Aglowsoft SQL Query Tools 8.2
Invoice Manager by PHPJabbers 3.0
ICPennyBid Penny Auction Script 4.0
PHP Review Script 1.0
ATN Resume Finder 2.0
ATN Site Builder 3.0
Report About Long-time simulation for a rigid body 1.0
- required fields

Please enter text on the image
  



These function implement Lie integrators to perform long time simulation of a rigid body in a static spring-magnetic potential field. This numerical test of symplecticity is detailed in:

Bou-Rabee, N., Ortolan, G., and Saccon, A. [2010].
A counterexample showing the semi-explicit Lie-Newmark algorithm is not variational. (preprint).

Results show the following:
(i) VLV algorithm exhibits no energy drift;
(ii) Lie-Newmark algorithm exhibits energy drift; and,
(iii) `explicit' Lie-Midpoint algorithm exhibits energy drift.

File details:
- basicrunem.m: launches the Lie methods;
- NMB.m: semi-explicit Lie-Newmark algorithm;
- LIEMIDEA.m: explicit Lie-Midpoint algorithm;
- VLV.m: Lie-Verlet algorithm;
- wedge.m: hat map.

Back