From numerical quadrature to Padé approximation
✍ Scribed by C. Brezinski
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 197 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0168-9274
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📜 SIMILAR VOLUMES
We consider quadrature formulas for I F which are exact with respect to rational w x functions with prescribed poles contained in ރ \_ y1, 1 . Their rate of convergence is studied.
The material interface between two fluids of different densities is unstable under acceleration by a shock wave. This phenomenon is known as the Richtmyer-Meshkov instability. Theories have failed to provide quantitatively correct predictions for the growth rates of the unstable interface. Recently
## Abstract It is shown that extrapolation to zero cell size can be made accurately by means of Padé approximation. The extrapolation procedure is tested on waveguide cavity filters analysed by the finite difference‐time domain (FDTD) scheme. Extrapolation by the traditional Taylor series can yield