3 papers
cs.SC2026
A Dataset of Nonlinear Equations for Subdivision
Juan Xu, Huilong Lai, Yingying Cheng +2
In this paper, we report on the largest labelled dataset constructed so far for solving zero-dimensional square nonlinear systems with subdivision-based methods. A brief, non-exhau…
cs.LG2026
Double Coupling Architecture and Training Method for Optimization Problems of Differential Algebraic Equations with Parameters
Wenqiang Yang, Wenyuan Wu, Yong Feng +1
Simulation and modeling are essential in product development, integrated into the design and manufacturing process to enhance efficiency and quality. They are typically represented…
cs.SC2024
Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems
Siyuan Deng, Michelle Hatzel, Gregory Reid +2
Differential-elimination algorithms apply a finite number of differentiations and eliminations to systems of partial differential equations. For systems that are polynomially nonli…