Error estimates for discrete spline interpolation : quintic and biquintic splines
In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained....
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/107045 http://hdl.handle.net/10220/17768 http://dx.doi.org/10.1016/j.cam.2012.01.011 |
| _version_ | 1811692633179815936 |
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| author | Chen, Fengmin Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Chen, Fengmin Wong, Patricia Jia Yiing |
| author_sort | Chen, Fengmin |
| collection | NTU |
| description | In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained. |
| first_indexed | 2024-10-01T06:38:53Z |
| format | Journal Article |
| id | ntu-10356/107045 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:38:53Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1070452019-12-06T22:23:45Z Error estimates for discrete spline interpolation : quintic and biquintic splines Chen, Fengmin Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering In this paper we shall develop a class of discrete spline interpolates in one and two independent variables. Further, explicit error bounds in ℓ∞ norm are derived for the quintic and biquintic discrete spline interpolates. We also present some numerical examples to illustrate the results obtained. 2013-11-15T08:48:09Z 2019-12-06T22:23:45Z 2013-11-15T08:48:09Z 2019-12-06T22:23:45Z 2012 2012 Journal Article Chen, F., & Wong, P. J. Y. (2012). Error estimates for discrete spline interpolation : quintic and biquintic splines. Journal of computational and applied mathematics, 236(15), 3835-3854. 0377-0427 https://hdl.handle.net/10356/107045 http://hdl.handle.net/10220/17768 http://dx.doi.org/10.1016/j.cam.2012.01.011 en Journal of computational and applied mathematics |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Chen, Fengmin Wong, Patricia Jia Yiing Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title | Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title_full | Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title_fullStr | Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title_full_unstemmed | Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title_short | Error estimates for discrete spline interpolation : quintic and biquintic splines |
| title_sort | error estimates for discrete spline interpolation quintic and biquintic splines |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/107045 http://hdl.handle.net/10220/17768 http://dx.doi.org/10.1016/j.cam.2012.01.011 |
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