1 citations · 1 across the 3 of their papers we have counts for
3 papers
math-ph2024
Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations
Siyuan Deng, Gregory Reid
Lie symmetry transformations that leave a differential equation invariant play a fundamental role in science and mathematics. Such Lie symmetry groups uniquely determine their Lie…
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…
math.NA2021★ 1 cited
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…