| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9511598 | Applied Numerical Mathematics | 2005 | 23 Pages |
Abstract
A shadow is an exact solution to a set of equations that remains close to a numerical solution for a long time. Shadowing can thus be used as a form of backward error analysis for numerical solutions to ordinary differential equations. This survey introduces the reader to shadowing with a detailed tour of shadowing algorithms and practical results obtained over the last 15 years.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Wayne Hayes, Kenneth R. Jackson,