Record Details
Stability of numerical integration of ordinary differential equations
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Stability of numerical integration of ordinary differential equations |
| Names |
Lathrop, James Frank
(creator) Goheen, Harry (advisor) |
| Date Issued | 1963-05-08 (iso8601) |
| Note | Graduation date: 1963 |
| Abstract | The thesis discusses stability of procedures based on linear computing formulas for numerical integration of an ordinary first-order differential equation. The theorems are proved: (1) If the procedure is asymptotically stable it is stable for small positive step size if the Lipschitz number is negative; (2) Relative stability always exists if asymptotic stability does; (3) If the Lipschitz constant is positive, there is an integration procedure based on a linear computing formula of order one, which is, however, not asymptotically stable. An algorithm for the general case is included,, written in the Algol 60 language. |
| Genre | Thesis/Dissertation |
| Topic | Differential equations -- Numerical solutions |
| Identifier | http://hdl.handle.net/1957/49210 |
