TY - JOUR T1 - Composite Legendre-Laguerre Approximation in Unbounded Domains AU - Guo , Ben-Yu AU - Ma , He-Ping JO - Journal of Computational Mathematics VL - 1 SP - 101 EP - 112 PY - 2001 DA - 2001/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8961.html KW - Composite spectral approximation, Unbounded domains, Exterior problems. AB -

Composite Legendre-Laguerre approximation in unbounded domains is developed. Some approximation results are obtained. As an example, a composite spectral scheme is provided for the Burgers equation on the half line. The stability and convergence of proposed scheme are proved strictly. Two-dimensional exterior problems are discussed.