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math.OC2025
New numerical solutions to Newton's problem of least resistance via a convex hull approach
Gerd Wachsmuth
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 numericall…
math.OC2025
Continuous differentiability of the signum function and Newton's method for bang-bang control
Daniel Wachsmuth, Gerd Wachsmuth
We investigate bang-bang control problems and the possibility to apply Newton's method to solve such kind of problems numerically. To this end, we show that the signum function is…