Shen, Jie Stable and efficient spectral methods in unbounded domains using Laguerre functions. (English) Zbl 0979.65105 SIAM J. Numer. Anal. 38, No. 4, 1113-1133 (2000). The author develops uniformly convergent Galerkin approximations by use of Laguerre functions for elliptic problems in regular unbounded domains, and builds up stable and efficient numerical algorithms for their practical implementation. Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) Cited in 100 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 35J25 Boundary value problems for second-order elliptic equations 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:Laguerre function; unbounded domain; spectral Galerkin approximation; elliptic equations; convergence; stability; algorithms PDFBibTeX XMLCite \textit{J. Shen}, SIAM J. Numer. Anal. 38, No. 4, 1113--1133 (2000; Zbl 0979.65105) Full Text: DOI