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Unbounded Domains

  • Jie ShenEmail author
  • Tao Tang
  • Li-Lian Wang
Chapter
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 41)

Abstract

We study in this chapter spectral approximations by orthogonal polynomials/functions on unbounded intervals, such as Laguerre and Hermite polynomials /functions and rational functions. Considerable progress has been made in the last two decades in using these orthogonal systems for solving PDEs in unbounded domains (cf. Chap. 17 in Boyd (2001) and a more recent review article Shen and Wang (2009)).

Keywords

Spectral Method Unbounded Domain Hermite Polynomial Jacobi Polynomial Laguerre Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA
  2. 2.Department of MathematicsHong Kong Baptist UniversityKowloonHong Kong SAR
  3. 3.Division of Mathematical Sciences School of Physical & Mathematical SciencesNanyang Technological UniversitySingaporeSingapore

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