Spectral Methods For The Hamiltonian Systems

<p>We conduct a systematic comparison of spectral methods with some</p> <p>symplectic methods in solving Hamiltonian dynamical systems. Our</p> <p>main emphasis is on the non-linear problems. Numerical evidence has</p> <p>demonstrated that the proposed spectral collocation method preserves</p> <p>both energy and symplectic structure up to the machine error in each</p> <p>time (large) step, and therefore has a better long time behavior.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2010

Author dc:creator

• Kanyamee, Nairat

Contributors dc:contributor

• ZHIMIN ZHANG

• COLLOCATION METHODS
• HAMILTONIAN SYSTEM
• NUMERICAL METHODS
• SPECTRAL METHODS
• Applied Mathematics

Repository record dc:identifier

https://digitalcommons.wayne.edu/oa_dissertations/133

OAI identifier oai:identifier

oai:digitalcommons.wayne.edu:oa_dissertations-1132