Fast Summation on the Sphere with Applications to the Barotropic Vorticity Equation
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910298178322432 |
|---|---|
| author | Chen, Anthony Jablonowski, Christiane |
| author_facet | Chen, Anthony Jablonowski, Christiane |
| contents | Fast summation refers to a family of techniques for approximating $O(N^2)$ sums in $O(N\log{N})$ or $O(N)$ time. These techniques have traditionally found wide use in astrophysics and electrostatics in calculating the forces in a $N$-body problem. In this work, we present a spherical tree code, and apply it to the problem of efficiently solving the barotropic vorticity equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fast Summation on the Sphere with Applications to the Barotropic Vorticity Equation Chen, Anthony Jablonowski, Christiane Numerical Analysis Atmospheric and Oceanic Physics Computational Physics Fluid Dynamics 76M28 (Primary) 76U99, 65M75, 86A08 (Secondary) Fast summation refers to a family of techniques for approximating $O(N^2)$ sums in $O(N\log{N})$ or $O(N)$ time. These techniques have traditionally found wide use in astrophysics and electrostatics in calculating the forces in a $N$-body problem. In this work, we present a spherical tree code, and apply it to the problem of efficiently solving the barotropic vorticity equation. |
| title | Fast Summation on the Sphere with Applications to the Barotropic Vorticity Equation |
| topic | Numerical Analysis Atmospheric and Oceanic Physics Computational Physics Fluid Dynamics 76M28 (Primary) 76U99, 65M75, 86A08 (Secondary) |
| url | https://arxiv.org/abs/2401.07361 |