Journal of convex analysis· 2026Q2
New Numerical Solutions to Newton's Problem of Least Resistance via a Convex Hull Approach
- 0citations
- Q2SCImago
- 2026year
Short summary
A novel convex hull approach yields highly accurate numerical solutions to Newton's problem of least resistance for convex functions, revealing underlying symmetry and extremal point patterns.
AI-generated from the title and abstract; the full text is not read.
Key points
- A convex hull approach is used to numerically solve Newton's problem of least resistance for convex functions.
- Numerically computed solutions demonstrate symmetry.
- Extremal points of the solutions are observed to lie on several curves.
- Exploiting the conjectured symmetry and curve structure leads to highly accurate solutions.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Journal of convex analysis, 2026 · DOI ↗
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Field: Modeling and Simulation
Modeling and SimulationMathematics