Date of Award:
5-1980
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
David S. Watkins
Committee
David S. Watkins
Committee
Chris Coray
Committee
Michael Windham
Abstract
Stiff differential equations frequently arise in physical problems due to the existence of greatly differing time constants. One way of solving stiff differential equations is taking the step size very small, another way is using an A-stable or stiffly stable implicit method. The purpose of this thesis is to discuss the method of determining initial values for stiff systems. The algorithm was motivated by a problem from ionospheric physics in which some of the initial values are unknown. If we give those unknown initial values an arbitrary number and integrated with those values, we have an initial transient. However, if we integrate with the correct initial values then there is no initial transient.
Checksum
0df4ddb9e2d2fdb12a330e1f11463130
Recommended Citation
Ning, Yech-Kuang, "Determining Initial Values for Stiff Systems with Incomplete Initial Data" (1980). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6980.
https://digitalcommons.usu.edu/etd/6980
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