4 papers
Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using General Multipliers
Chaoyu Quan, Huaijin Wang, Xuping Wang +1
A unified framework is proposed to establish the energy dissipation of implicit-explicit linear multistep methods (IMEX-LMMs) for gradient flows, based on general multipliers that…
Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using a Simple Multiplier
Chaoyu Quan, Huaijin Wang, Xuping Wang +1
This paper proposes a theoretical framework for establishing the energy dissipation of general implicit-explicit linear multistep methods (IMEX-LMMs) for gradient flows, by constru…
Classical and Quantum Speedups for Non-Convex Optimization via Energy Conserving Descent
Yihang Sun, Huaijin Wang, Patrick Hayden +1
We present the first analytical study of ECD, focusing on the one-dimensional setting for this first installment. We formalize a stochastic ECD dynamics (sECD) with energy-preservi…
On Weighted Generalized Gauss Quadratures for Müntz Systems
Huaijin Wang, Chuanju Xu
A novel recurrence formula for moments with respect to Müntz-Legendre polynomials is proposed and applied to construct a numerical method for solving generalized Gauss quadratures…