Experiments with a New Fifth Order Method
โ Scribed by John C. Butcher; Nicolette Moir
- Book ID
- 111551249
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 116 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We suggest an improvement to the iteration of Cauchy's method viewed as a generalization of possible improvements to Newton's method. Two equivalent derivations of Cauchy's method are presented involving similar techniques to ones that have been proved successfully for Newton's method. First, an ada
In this paper, we present some new modifications of Newton's method for solving non-linear equations. Analysis of convergence shows that these methods have order of convergence five. Numerical tests verifying the theory are given and based on these methods, a class of new multistep iterations is dev