| ชื่อเรื่อง | : | Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains |
| นักวิจัย | : | Shen, Jie , Wang, Li-Lian , Yu, Haijun |
| คำค้น | : | DRNTU::Science::Mathematics |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2556 |
| อ้างอิง | : | 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 , http://hdl.handle.net/10220/19843 , http://dx.doi.org/10.1016/j.cam.2013.09.024 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Journal of computational and applied mathematics |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | 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. |
| บรรณานุกรม | : |
Shen, Jie , Wang, Li-Lian , Yu, Haijun . (2556). Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains.
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Shen, Jie , Wang, Li-Lian , Yu, Haijun . 2556. "Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Shen, Jie , Wang, Li-Lian , Yu, Haijun . "Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2556. Print. Shen, Jie , Wang, Li-Lian , Yu, Haijun . Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2556.
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