𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An iterative method based upon Padé approximants

✍ Scribed by Damil, N. ;Potier-Ferry, M. ;Najah, A. ;Chari, R. ;Lahmam, H.

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
103 KB
Volume
15
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

We present a new iterative method based on Pade approximants for numerical analysis of non-linear problems. It improves on the classical iterative Newton methods.

📜 SIMILAR VOLUMES

Padé approximation for extended boundary
Padé approximation for extended boundary condition method in electromagnetic scattering analysis
✍ Naser A. Abu-Zaid; Haluk Tosun 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 88 KB

## Abstract The Padé approximation technique in conjunction with the extended boundary condition method (EBC) is implemented to solve the scattering problem over a finite frequency interval. The algorithm is based on expanding the system equations in their power series, and then finding a recurrenc

Wide-angle solution of nonlinear coupled
Wide-angle solution of nonlinear coupled wave equations based on Padé approximants
✍ Reinaldo S. Flamino; Licinius D. S. Alcantara; Amílcar C. César; Ben-Hur V. Borg 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 253 KB 👁 1 views

## Abstract A wide‐angle finite‐difference beam propagation method for the solution of coupled nonlinear wave equations is introduced in this paper. The formalism is expanded in terms of Padé approximants for the Crank–Nicolson scheme. An iterative algorithm is utilized to optimize convergence in t