1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Structural Analysis by Modified Signature Matrix for Integro-differential-algebraic Equations
Wenqiang Yang, Wenyuan Wu, Greg Reid
Integro-differential-algebraic equations (IDAE)s are widely used in applications of engineering and analysis. When there are hidden constraints in an IDAE, structural analysis is n…
Index Reduction for Degenerated Differential-Algebraic Equations by Embedding
Wenqiang Yang, Wenyuan Wu, Greg Reid
To find consistent initial data points for a system of differential-algebraic equations, requires the identification of its missing constraints. An efficient class of structural me…
Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations
Wenqiang Yang, Wenyuan Wu, Greg Reid
Existing structural analysis methods may fail to find all hidden constraints for a system of differential-algebraic equations with parameters if the system is structurally unamenab…
Optimal Solution of Linear Ordinary Differential Equations by Conjugate Gradient Method
Wenqiang Yang, Wenyuan Wu, Robert M. Corless
Solving initial value problems and boundary value problems of Linear Ordinary Differential Equations (ODEs) plays an important role in many applications. There are various numerica…
Error Estimation of Numerical Solvers for Linear Ordinary Differential Equations
Wenyuan Wu, Wenqiang Yang
Solving Linear Ordinary Differential Equations (ODEs) plays an important role in many applications. There are various numerical methods and solvers to obtain approximate solutions.…