Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods
β Scribed by Shen, Jie; Wang, Li-Lian
- Book ID
- 118190378
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2004
- Tongue
- English
- Weight
- 486 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0036-1429
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## Abstract In this letter, an efficient multidomain pseudospectral method is implemented to solve leaky waveguides. The exterior subdomains with the evanescent and oscillatory mode shapes, the optical fields are, respectively, expanded by LaguerreβGauss functions and Legendre polynomials incorpora
This paper introduces a new approach to obtain the integration matrices using Legendre power expansion P n Γ°xΓ. This method generates approximations to the lower order derivatives of the function through successive integrations of the Legendre polynomials to the highest order derivatives. This metho