Guaranteed error bounds for the initial value problem using polytope arithmetic
| ISSN: |
1572-9125
|
|---|---|
| Keywords: |
Guaranteed error bounds ; interval arithmetic ; co-ordinate transformations ; polytopes ; ordinary differential equations
|
| Source: |
Springer Online Journal Archives 1860-2000
|
| Topics: |
Mathematics
|
| Notes: |
Abstract In this paper we propose and compare modifications of the method of co-ordinate transformations for finding guaranteed bounds for the numerical solution of the initial value problem. These modifications are judged on their success in overcoming exponentially too large growth of the computed error bound.
|
| Type of Medium: |
Electronic Resource
|
| URL: |