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
Department, Program, or Center
Mechanical Engineering (KGCOE)
Aung, Thuya, "Numerical ODE solvers that preserve first integrals" (2000). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus