Abstract
The measurement of the change in energy by a force from a dynamical action is central for study of modern dynamical mechanics. By analyzing energy along with variational calculus, the disciplines of Lagrangian and Hamiltonian dynamics have emerged. This thesis describes these systems, and discusses numerical solutions to a system of equations by Lagrangian, Hamiltonian, and First Integral solutions.
Library of Congress Subject Headings
Differential equations--Numerical solutions; Differentiable dynamical systems; Lagrange equations; Hamiltonian systems; Integral equations
Publication Date
2000
Document Type
Thesis
Department, Program, or Center
Mechanical Engineering (KGCOE)
Advisor
Kandlikar, Satish
Advisor/Committee Member
Torok, Josef
Advisor/Committee Member
Ghoneim, Hany
Recommended Citation
Aung, Thuya, "Numerical ODE solvers that preserve first integrals" (2000). Thesis. Rochester Institute of Technology. Accessed from
https://repository.rit.edu/theses/7330
Campus
RIT – Main Campus
Comments
Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QA371.3 .A96 2000