Repository logo
 

Lagrange-d'alembert integrators

Date

2007-06-08

Journal Title

Journal ISSN

Volume Title

Publisher

ORCID

Type

Degree Level

Doctoral

Abstract

A Lagrange--d'Alembert integrator is a geometric numerical method for finding numerical solutions to the Lagrange--d'Alembert equations for mechanical systems with nonholonomic constraints that are linear in the velocities. The integrator is developed from geometry and principles that are analogues of the continuous theory.Using discrete analogues of the symplectic form and momentum map, the resulting methods are symplectic and momentum preserving whenever the continuous system is symplectic and momentum preserving. In addition, it is possible to, in principle, generate Lagrange--d'Alembert integrators of any method order.

Description

Keywords

Geometric mechanics, integrators, symplectic, nonholonomic, holonomic

Citation

Degree

Doctor of Philosophy (Ph.D.)

Department

Mathematics and Statistics

Program

Mathematics and Statistics

Citation

Part Of

item.page.relation.ispartofseries

DOI

item.page.identifier.pmid

item.page.identifier.pmcid