Not-Quite-Transcendental Functions For Logarithmic Interpolation of Tabulated Data
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915096102436864 |
|---|---|
| author | Hammond, Peter C. Fields, Jacob M. Miller, Jonah M. Barker, Brandon L. |
| author_facet | Hammond, Peter C. Fields, Jacob M. Miller, Jonah M. Barker, Brandon L. |
| contents | From tabulated nuclear and degenerate equations of state to photon and neutrino opacities, to nuclear reaction rates: tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables typically spans many orders of magnitude. Here we present a novel strategy for accurately and performantly interpolating tabulated data that spans these large dynamic ranges. We demonstrate the efficacy of this strategy in tabulated lookups for nuclear and terrestrial equations of state. We show that this strategy is a faster \textit{drop-in} replacement for linear interpolation of logarithmic grids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05410 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Not-Quite-Transcendental Functions For Logarithmic Interpolation of Tabulated Data Hammond, Peter C. Fields, Jacob M. Miller, Jonah M. Barker, Brandon L. Computational Physics Numerical Analysis From tabulated nuclear and degenerate equations of state to photon and neutrino opacities, to nuclear reaction rates: tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables typically spans many orders of magnitude. Here we present a novel strategy for accurately and performantly interpolating tabulated data that spans these large dynamic ranges. We demonstrate the efficacy of this strategy in tabulated lookups for nuclear and terrestrial equations of state. We show that this strategy is a faster \textit{drop-in} replacement for linear interpolation of logarithmic grids. |
| title | Not-Quite-Transcendental Functions For Logarithmic Interpolation of Tabulated Data |
| topic | Computational Physics Numerical Analysis |
| url | https://arxiv.org/abs/2501.05410 |