Generalized Laguerre Approximation and Its Applications to Exterior Problems
Ben-Yu Guo, Jie Shen, Cheng-Long Xu
Source record
Source: Crossref
Published: Apr 2, 2005
DOI: 10.4208/jcm.v23.n2.p113
Open original source ↗Source abstract
Approximations using the generalized Laguerre polynomials are investigated in this paper. Error estimates for various orthogonal projections are established. These estimates generalize and improve previously published results on the Laguerre approximations. As an example of applications, a mixed Laguerre-Fourier spectral method for the Helmholtz equation in an exterior domain is analyzed and implemented. The proposed method enjoys optimal error estimates, and with suitable basis functions, leads to a sparse and symmetric linear system.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.