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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.14232 |
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| _version_ | 1866915814982025216 |
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| author | Rogan, Adrijan Kolar-Požun, Andrej Kosec, Gregor |
| author_facet | Rogan, Adrijan Kolar-Požun, Andrej Kosec, Gregor |
| contents | This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF interpolation and traditional finite difference stencils. We compare the accuracy of this method and RBF-FD on a two-dimensional Poisson problem for standard five-point and nine-point stencils and different method parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators Rogan, Adrijan Kolar-Požun, Andrej Kosec, Gregor Numerical Analysis This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF interpolation and traditional finite difference stencils. We compare the accuracy of this method and RBF-FD on a two-dimensional Poisson problem for standard five-point and nine-point stencils and different method parameters. |
| title | A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2505.14232 |