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Title: A special numerical method for solving Hamiltonian eigenproblems
Author: Maple, Carsten R.
Awarding Body: University of Leicester
Current Institution: University of Leicester
Date of Award: 1998
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In this thesis we develop and implement a new algorithm for finding the solutions of linear Hamiltonian systems arising from ordinary differential equation (ODE) eigenproblems; a large source of these systems is Sturm-Liouville problems, and these will provide the angle of approach. The convergence properties of the algorithm will be analysed, as will the performance of the algorithm for large values of eigenparameter. An algorithm is also proposed to find high-index eigenvalues of general Sturm-Liouville problems.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available