A Family of P-stable Eighth Algebraic Order Methods with Exponential Fitting Facilities
✍ Scribed by J.V. Aguiar; T.E. Simos
- Book ID
- 110296231
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 112 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0259-9791
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📜 SIMILAR VOLUMES
We search for the modiÿcation of the stability properties of a P-stable multistep algorithm with an order greater than two when this is reformulated on the basis of the exponential ÿtting. We e ectively construct the exponential-ÿtting version of the fourth-order two-step algorithm of Chawla (BIT 21
In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices