Date of Award
Winter 1990
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics and Statistics
Program/Concentration
Computational and Applied Mathematics
Committee Director
John H. Heinbockel
Committee Member
Robert C. Costen
Committee Member
John Tweed
Committee Member
J. Mark Dorrepaal
Abstract
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.
DOI
10.25777/0bay-vz73
Recommended Citation
Arriola, Leon.
"A Generalization of Linear Multistep Methods"
(1990). Doctor of Philosophy (PhD), Dissertation, Mathematics and Statistics, Old Dominion University, DOI: 10.25777/0bay-vz73
https://digitalcommons.odu.edu/mathstat_etds/77