3 citations · 5 across the 5 of their papers we have counts for
6 papers
Introduction of the MapDE algorithm for determination of mappings relating differential equations
Zahra. Mohammadi, Gregory J. Reid, S. -L. Tracy Huang
This paper is the first of a series in which we develop exact and approximate algorithms for mappings of systems of differential equations. Here we introduce the MapDE algorithm an…
Extensions of the MapDE algorithm for mappings relating differential equations
Zahra. Mohammadi, Gregory J. Reid, S. -L. Tracy Huang
This paper is a sequel of our previous work in which we introduced the MapDE algorithm to determine the existence of analytic invertible mappings of an input (source) differential…
Computing the generators of the truncated real radical ideal by moment matrices and SDP facial reduction
Fei Wang, Greg Reid, Henry Wolkowicz
Recent breakthroughs have been made in the use of semidefinite programming and its application to real polynomial solving. For example, the real radical of a zero dimensional ideal…
Facial Reduction and SDP Methods for Systems of Polynomial Equations
Greg Reid, Fei Wang, Henry Wolkowicz +1
The real radical ideal of a system of polynomials with finitely many complex roots is generated by a system of real polynomials having only real roots and free of multiplicities. I…
Geometric involutive bases for positive dimensional polynomial ideals and SDP methods
Greg Reid, Fei Wang, Wenyuan Wu
Geometric involutive bases for polynomial systems of equations have their origin in the prolongation and projection methods of the geometers Cartan and Kuranishi for systems of PDE…
Structural analysis of high-index DAE for process simulation
Xiaolin Qin, Wenyuan Wu, Yong Feng +1
This paper deals with the structural analysis problem of dynamic lumped process high-index DAE models. We consider two methods for index reduction of such models by differentiation…