Abstract
A new concept of "an imperfect singular solution" is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are also presented for illustration.
| Original language | English |
|---|---|
| Pages (from-to) | 1062-1069 |
| Number of pages | 8 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E82-A |
| Issue number | 6 |
| Publication status | Published - 1999 Jan 1 |
Keywords
- Imperfect singular solutions extended systems
- Krawczyk-based interval validation method
- Numerical computation with guaranteed accuracy
ASJC Scopus subject areas
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics