3 papers
math.NA2025
Piecewise rational rotation-minimizing motions via data stream interpolation
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini +1
When a moving frame defined along a space curve is required to keep an axis aligned with the tangent direction of motion, the use of rotation-minimizing frames (RMF) avoids unneces…
math.NA2025
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a meshless finite difference method for multivariate scalar conservation laws that generates positive schemes satisfying a local maximum principle on irregular nodes and…
math.NA2024
Robust path following for autonomous vehicles with spatial PH quintic splines
Vincenzo Calabrò, Carlotta Giannelli, Lorenzo Sacco +1
The distinctive feature of a polynomial parametric speed let polynomial Pythagorean-hodograph (PH) curves be attractive for the design of accurate and efficient application algorit…