The spectral method for high order problems with proper simulations of asymptotic behaviors at infinity

Ben‐yu Guo, Chao Zhang

Type: Article

Publication Date: 2012-08-13

Citations: 9

DOI: https://doi.org/10.1016/j.cam.2012.08.009

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Locations

Journal of Computational and Applied Mathematics - View

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Works Cited by This (23)

Action	Title	Year	Authors
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag
+ PDF Chat	Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel	2008	Ben‐yu Guo Tian‐jun Wang
+	Approximation Theory for the P-Version of the Finite Element Method in Three Dimensions Part II: Convergence of the<i>P</i>Version of the Finite Element Method	2009	Benqi Guo
+	Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions	2008	Chenglong Xu Ben‐yu Guo
+ PDF Chat	Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval	2000	Ben‐yu Guo Jie Shen
+	A new generalized Laguerre spectral approximation and its applications	2005	Guo Ben‐yu Xiaoyong Zhang
+	Polynomial Approximation of Differential Equations.	1994	Eitan Tadmor Daniele Funaro
+	The Sobolev orthogonality and spectral analysis of the Laguerre polynomials {Ln−k} for positive integers k	2004	W. N. Everitt Lance L. Littlejohn R. Wellman
+	Composite Legendre-Laguerre pseudospectral approximation in unbounded domains	2001	Heping Ma
+	Domain Decomposition Spectral Method for Mixed Inhomogeneous Boundary Value Problems of High Order Differential Equations on Unbounded Domains	2012	Chao Zhang Ben‐yu Guo