In this paper, we propose a new phase flow method for Hamiltonian systems with discontinuous Hamiltonians. In the original phase-flow method introduced by Ying and Cand`es [26], t...
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Abstract-- A generalized Hamiltonian method (GHM) was recently proposed for the passivity test of hybrid descriptor systems [1]. This paper extends the GHM theory to its S-paramete...
We formulate the L2-gain control problem for a general nonlinear, state-space system with projection dynamics in the state evolution and hard constraints on the set of admissible ...
Joseph A. Ball, Martin V. Day, Tungsheng Yu, Pushk...
Shadow Hybrid Monte Carlo (SHMC) is a new method for sampling the phase space of large biological molecules. It improves sampling by allowing larger time steps and system sizes in ...