Abstract: This paper presents Barrier-based Simplex (Bb-Simplex), a new, provably correct design for runtime assurance of continuous dynamic systems. Bb-Simplex is centered around the Simplex control ...

Abstract: This paper works on a modified simplex algorithm for the local optimization of Continuous PieceWise Linear (CPWL) programming with generalization of hinging hyperplane objective and linear ...

The evolution of the value function for the mountain car as a function of the number of iterations of the algorithm: A simplex is a generalization of the notion of a triangle or tetrahedron to ...

This repository implements the optimized matrix-free finite-element operator described in Still, Fehn, Wall & Kronbichler, "Matrix-Free Evaluation Strategies for Continuous and Discontinuous Galerkin ...