A universal preprocessing algorithm of average kernel method with Gauss-Laguerre quadrature for double integrals
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915160606638080 |
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| author | Pan, Kejun Xie, Mingliang |
| author_facet | Pan, Kejun Xie, Mingliang |
| contents | To address the computational challenges posed by nonlinear collision kernels in the Smoluchowski equation, this study proposes a universal preprocessing algorithm for the average kernel method based on the Gauss-Laguerre quadrature for double integrals. With this algorithm, the numerical code accurately and efficiently determines the pre-exponential factor of the average kernel. Additionally, the exact pre-exponential factors of the four fundamental average kernels and their associated truncation error estimations were analyzed. The results demonstrate the reasonability and reliability of the preprocessing algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13378 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A universal preprocessing algorithm of average kernel method with Gauss-Laguerre quadrature for double integrals Pan, Kejun Xie, Mingliang Numerical Analysis Fluid Dynamics To address the computational challenges posed by nonlinear collision kernels in the Smoluchowski equation, this study proposes a universal preprocessing algorithm for the average kernel method based on the Gauss-Laguerre quadrature for double integrals. With this algorithm, the numerical code accurately and efficiently determines the pre-exponential factor of the average kernel. Additionally, the exact pre-exponential factors of the four fundamental average kernels and their associated truncation error estimations were analyzed. The results demonstrate the reasonability and reliability of the preprocessing algorithm. |
| title | A universal preprocessing algorithm of average kernel method with Gauss-Laguerre quadrature for double integrals |
| topic | Numerical Analysis Fluid Dynamics |
| url | https://arxiv.org/abs/2502.13378 |