New numerical solutions to Newton's problem of least resistance via a convex hull approach
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917076202946560 |
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| author | Wachsmuth, Gerd |
| author_facet | Wachsmuth, Gerd |
| contents | We present a numerical method for the solution of Newton's problem of least resistance in the class of convex functions using a convex hull approach. We observe that the numerically computed solutions possess some symmetry. Further, their extremal points lie on several curves. By exploiting this conjectured structure, we are able to compute highly accurate solutions to Newton's problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New numerical solutions to Newton's problem of least resistance via a convex hull approach Wachsmuth, Gerd Optimization and Control We present a numerical method for the solution of Newton's problem of least resistance in the class of convex functions using a convex hull approach. We observe that the numerically computed solutions possess some symmetry. Further, their extremal points lie on several curves. By exploiting this conjectured structure, we are able to compute highly accurate solutions to Newton's problem. |
| title | New numerical solutions to Newton's problem of least resistance via a convex hull approach |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2511.09177 |