Parallel implementations of certain algorithms for the linear inhomogeneous heat and wave equations

Author

Kenneth William Fister

Date of Award

12-1994

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Steven M. Serbin

Committee Members

Sam Jordan, Chuck Collins

Abstract

In this thesis we look at certain algorithms for the inhomogeneous heat and wave equa- tions, with the focus being the implementation of these algorithms in PVM (Parallel Virtual Ma- chine). PVM creates, via connection of workstations, a parallel environment. These algorithms are created in a special way to ensure that a phenomenon known as order reduction will not oc- cur; our numerical experiments confirm this. The parallelism in these algorithms is obtained by the use of partial fraction expansion of appropriate rational functions. Numerical evidence is fur- nished to show that the algorithms perform essentially the same in both serial and parallel mode.

Recommended Citation

Fister, Kenneth William, "Parallel implementations of certain algorithms for the linear inhomogeneous heat and wave equations. " Master's Thesis, University of Tennessee, 1994.
https://trace.tennessee.edu/utk_gradthes/11525