AAA interpolation of equispaced data
We propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from large numbers of samples if they are available, whether equispaced or not, this method often performs impressively even...
| Main Authors: | , |
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| Format: | Internet publication |
| Language: | English |
| Published: |
2022
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| _version_ | 1797109809016733696 |
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| author | Huybrechs, D Trefethen, LN |
| author_facet | Huybrechs, D Trefethen, LN |
| author_sort | Huybrechs, D |
| collection | OXFORD |
| description | We propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from large numbers of samples if they are available, whether equispaced or not, this method often performs impressively even when the sampling grid is fairly coarse. In most cases it gives more accurate approximations than other methods. |
| first_indexed | 2024-03-07T07:45:00Z |
| format | Internet publication |
| id | oxford-uuid:1dc1d6bc-e0d3-4355-9db7-c60ead3aa5cc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:45:00Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | oxford-uuid:1dc1d6bc-e0d3-4355-9db7-c60ead3aa5cc2023-06-09T09:10:40ZAAA interpolation of equispaced dataInternet publicationhttp://purl.org/coar/resource_type/c_7ad9uuid:1dc1d6bc-e0d3-4355-9db7-c60ead3aa5ccEnglishSymplectic Elements2022Huybrechs, DTrefethen, LNWe propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from large numbers of samples if they are available, whether equispaced or not, this method often performs impressively even when the sampling grid is fairly coarse. In most cases it gives more accurate approximations than other methods. |
| spellingShingle | Huybrechs, D Trefethen, LN AAA interpolation of equispaced data |
| title | AAA interpolation of equispaced data |
| title_full | AAA interpolation of equispaced data |
| title_fullStr | AAA interpolation of equispaced data |
| title_full_unstemmed | AAA interpolation of equispaced data |
| title_short | AAA interpolation of equispaced data |
| title_sort | aaa interpolation of equispaced data |
| work_keys_str_mv | AT huybrechsd aaainterpolationofequispaceddata AT trefethenln aaainterpolationofequispaceddata |