Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866929738729127936 |
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| author | Mohammadi, Maryam Sommariva, Alvise Vianello, Marco |
| author_facet | Mohammadi, Maryam Sommariva, Alvise Vianello, Marco |
| contents | We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fictitious centers is almost surely unisolvent, for stationary convection-diffusion equations with mixed boundary conditions on general domains. For the purpose of illustration, the method is applied in 2D with fictitious centers that are local random perturbations of predetermined collocation points. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_00963 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions Mohammadi, Maryam Sommariva, Alvise Vianello, Marco Numerical Analysis 65D12, 65N35 We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fictitious centers is almost surely unisolvent, for stationary convection-diffusion equations with mixed boundary conditions on general domains. For the purpose of illustration, the method is applied in 2D with fictitious centers that are local random perturbations of predetermined collocation points. |
| title | Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions |
| topic | Numerical Analysis 65D12, 65N35 |
| url | https://arxiv.org/abs/2503.00963 |