In this paper, we consider an initial value problem y' = fi x, y), yi 0) = Y0, where f is a continuous function satisfying a Lipschitz condition. First, the function fix, y) is approximated by a Bernstein polynomial in two variables, Bnif; x,y), of an appropriate degree according to a prescribed acc
β¦ LIBER β¦
Guaranteed error bounds for the initial value problem using polytope arithmetic
β Scribed by D. P. Davey; N. F. Stewart
- Publisher
- Springer Netherlands
- Year
- 1976
- Tongue
- English
- Weight
- 753 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0006-3835
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