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Zbl 0979.65105
Shen, Jie
Stable and efficient spectral methods in unbounded domains using Laguerre functions. (English)
[J] SIAM J. Numer. Anal. 38, No.4, 1113-1133 (2000). ISSN 0036-1429; ISSN 1095-7170/e

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.
[Calin Ioan Gheorghiu (Cluj-Napoca)]
MSC 2000:
*65N35 Collocation methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
65N12 Stability and convergence of numerical methods (BVP of PDE)

Keywords: Laguerre function; unbounded domain; spectral Galerkin approximation; elliptic equations; convergence; stability; algorithms

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