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

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

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...

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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
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1019642023-02-28T19:43:37Z Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains Shen, Jie Wang, Li-Lian Yu, Haijun School of Physical and Mathematical Sciences DRNTU::Science::Mathematics 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. Accepted version 2014-06-20T07:14:59Z 2019-12-06T20:47:31Z 2014-06-20T07:14:59Z 2019-12-06T20:47:31Z 2013 2013 Journal Article Shen, J., Wang, L.-L., & Yu, H. (2014). Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. Journal of Computational and Applied Mathematics, 265, 264-275. 0377-0427 https://hdl.handle.net/10356/101964 http://hdl.handle.net/10220/19843 10.1016/j.cam.2013.09.024 en Journal of computational and applied mathematics © 2013 Elsevier B.V. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Computational and Applied Mathematics, Elsevier B.V. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1016/j.cam.2013.09.024]. 15 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Shen, Jie
Wang, Li-Lian
Yu, Haijun
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Shen, Jie
Wang, Li-Lian
Yu, Haijun
format Article
author Shen, Jie
Wang, Li-Lian
Yu, Haijun
author_sort Shen, Jie
title Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
title_short Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
title_full Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
title_fullStr Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
title_full_unstemmed Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
title_sort approximations by orthonormal mapped chebyshev functions for higher-dimensional problems in unbounded domains
publishDate 2014
url https://hdl.handle.net/10356/101964
http://hdl.handle.net/10220/19843
_version_ 1759853429675524096

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