A Generalization of Linear Multistep Methods

<p>A generalization of the methods that are currently available to solve systems of ordinary differential equations is made. This generalization is made by constructing linear multistep methods from an arbitrary set of monotone interpolating and approximating functions. Local truncation error estimates as well as stability analysis is given. Specifically, the class of linear multistep methods of the Adams and BDF type are discussed.</p>

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics & Statistics

Year dc:date.available

1990

Author dc:creator

• Arriola, Leon

Contributors dc:contributor

• John H. Heinbockel
• Robert C. Costen
• John Tweed
• J. Mark Dorrepaal

• Ordinary differential equations
• Linear multi-step methods
• Nonlinear control theory
• Control Theory
• Ordinary Differential Equations and Applied Dynamics

Statement dc:rights

• <p>In Copyright. URI: <a href="http://rightsstatements.org/vocab/InC/1.0/">http://rightsstatements.org/vocab/InC/1.0/</a> This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).</p>

Repository record dc:identifier

https://digitalcommons.odu.edu/mathstat_etds/77

OAI identifier oai:identifier

oai:digitalcommons.odu.edu:mathstat_etds-1077