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

Share

COinS