Term of Award

Winter 1996

Degree Name

Master of Science in Applied Mathematics

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Department

Department of Mathematics

Committee Chair

Xiezhang Li

Committee Member 1

Lila Roberts

Committee Member 2

Richard J. Hathaway

Abstract

LSODE, the Livermore Solver for Ordinary Differential Equations (cf. [7]), was used to solve a stiff system of ordinary differential equations. In the LSODE package, each integration step of solving a system of ordinary differential equations involves solving a system of linear equations. Instead of using the approach presented with the LSODE package involving LU decomposition, other linear solvers are implemented as a modification to solve the linear system. The differences in each approach are noted, and some numerical results are reported.

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