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- Javad Abdalkhani, David Levin
- Numerical Algorithms
- 2014

The influence of the shift parameter β upon the convergence of the u-transformation may be crucial. It is shown, through a specific example, that a clever choice of β can improve the convergence acceleration rate of the u-transformation, while a wrong choice may even imply divergence of the method. A constructive approach for choosing an optimal shift… (More)

- Javad Abdalkhani
- 2010

Convergence of power series solutions for a class of non-linear Abel type equations, including an equation that arises in nonlinear cooling of semi-infinite rods, is very slow inside their small radius of convergence. Beyond that the corresponding power series are wildly divergent. Implementation of nonlinear sequence transformation allow effortless… (More)

Session 39 Contributed Papers Organizers: Local Organizing Committee First Joint Meeting RSME-AMS Session 39

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