Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains

• Main Authors: Shen, Jie, Wang, Li-Lian, Yu, Haijun
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/101964; http://hdl.handle.net/10220/19843
• Institution: Nanyang Technological University

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 lea...