Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638945 | Journal of Computational and Applied Mathematics | 2014 | 12 Pages |
Abstract
This paper is concerned with approximation properties of orthonormal mapped Chebyshev functions (OMCFs) in unbounded domains. Unlike the usual mapped Chebyshev functions which are associated with weighted Sobolev spaces, the OMCFs are associated with the usual (non-weighted) Sobolev spaces. This leads to particularly simple stiffness and mass matrices for higher-dimensional problems. The approximation results for both the usual tensor product space and hyperbolic cross space are established, with the latter particularly suitable for higher-dimensional problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jie Shen, Li-Lian Wang, Haijun Yu,