کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638945 | 1632026 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: 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](/preview/png/4638945.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 265, 1 August 2014, Pages 264–275
Journal: Journal of Computational and Applied Mathematics - Volume 265, 1 August 2014, Pages 264–275
نویسندگان
Jie Shen, Li-Lian Wang, Haijun Yu,