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math.NA2025
Skew Gradient Embedding for Thermodynamically Consistent Systems
Xuelong Gu, Qi Wang
We propose a novel Skew Gradient Embedding (SGE) framework for systematically reformulating thermodynamically consistent partial differential equation (PDE) models-capturing both r…
math.NA2025
Energy-Stable Swarm-Based Inertial Algorithms for Optimization
Xuelong Gu, Qi Wang
We formulate the swarming optimization problem as a weakly coupled, dissipative dynamical system governed by a controlled energy dissipation rate and initial velocities that adhere…