Reduction of Systems of Differential Equations to Standard form and Their Integration Using Directed Graphs. - Gregory J. Reid; A. Boulton (ISSAC, 1991)

Algorithmic Determination of Commutation Relations for Lie Symmetry Algebras of PDEs. - Gregory J. Reid; Ian G. Lisle; A. Boulton; Allan D. Wittkopf (ISSAC, 1992)

Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs. - Ian G. Lisle; Gregory J. Reid; A. Boulton (ISSAC, 1995)

Rankings of Partial Derivatives. - C. J. Rust; Gregory J. Reid (ISSAC, 1997)

Active binaural sound localization. - Greg Reid; Evangelos E. Milios (EUSIPCO, 1998)

Geometry and Structure of Lie Pseudogroups from Infinitesimal Defining Systems. - Ian G. Lisle; Gregory J. Reid (J. Symb. Comput., 1998)

Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems. - C. J. Rust; Gregory J. Reid; Allan D. Wittkopf (ISSAC, 1999)

Determination of maximal symmetry groups of classes of differential equations. - Gregory J. Reid; Allan D. Wittkopf (ISSAC, 2000)

Geometric completion of differential systems using numeric-symbolic continuation. - Greg Reid; Chris Smith; Jan Verschelde (SIGSAM Bull., 2002)

A complete symbolic-numeric linear method for camera pose determination. - Gregory J. Reid; Jianliang Tang; Lihong Zhi (ISSAC, 2003)

Hybrid Method for Solving New Pose Estimation Equation System. - Gregory J. Reid; Jianliang Tang; Jianping Yu; Lihong Zhi (IWMM/GIAE, 2004)

Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems. - Wenqin Zhou; David J. Jeffrey; Gregory J. Reid; Chad Schmitke; John McPhee 001 (IWMM/GIAE, 2004)

Assessing cellular automata based models using partial differential equations. - Andrea Doeschl; Matt Davison 001; Henning Rasmussen; Greg Reid (Math. Comput. Model., 2004)

An Algebraic Method for Analyzing Open-Loop Dynamic Systems. - Wenqin Zhou; David J. Jeffrey; Gregory J. Reid (International Conference on Computational Science (3), 2005)

Symbolic-numeric completion of differential systems by homotopy continuation. - Greg Reid; Jan Verschelde; Allan D. Wittkopf; Wenyuan Wu (ISSAC, 2005)

Application of numerical algebraic geometry and numerical linear algebra to PDE. - Wenyuan Wu; Greg Reid (ISSAC, 2006)

Symmetry Classification Using Noncommutative Invariant Differential Operators. - Ian G. Lisle; Gregory J. Reid (Found. Comput. Math., 2006)

Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. - Silvana Ilie; Robert M. Corless; Greg Reid (Numer. Algorithms, 2006)

Symbolic-numeric computation of implicit riquier bases for PDE. - Wenyuan Wu; Greg Reid (ISSAC, 2007)

On approximate triangular decompositions in dimension zero. - Marc Moreno Maza; Gregory J. Reid; Robin Scott; Wenyuan Wu (J. Symb. Comput., 2007)

Solving polynomial systems via symbolic-numeric reduction to geometric involutive form. - Greg Reid; Lihong Zhi (J. Symb. Comput., 2009)

Implicit Riquier Bases for PDAE and their semi-discretizations. - Wenyuan Wu; Greg Reid; Silvana Ilie (J. Symb. Comput., 2009)

Finding points on real solution components and applications to differential polynomial systems. - Wenyuan Wu; Greg Reid (ISSAC, 2013)

Structural Analysis of High-Index DAE for Process simulation. - Xiaolin Qin; Wenyuan Wu; Yong Feng; Greg Reid (Int. J. Model. Simul. Sci. Comput., 2013)

Structure of symmetry of PDE: exploiting partially integrated systems. - Ian G. Lisle; Tracy Shih-lung Huang; Gregory J. Reid (SNC, 2014)

A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods. - Greg Reid; Fei Wang 043; Wenyuan Wu (SNC, 2014)

Numerical and geometric properties of a method for finding points on real solution components. - Wenyuan Wu; Greg Reid; Yong Feng (SNC, 2014)

Geometric involutive bases for positive dimensional polynomial ideals and SDP methods. - Greg Reid; Fei Wang 043; Wenyuan Wu (CoRR, 2014)

Facial Reduction and SDP Methods for Systems of Polynomial Equations. - Greg Reid; Fei Wang 043; Henry Wolkowicz; Wenyuan Wu (CoRR, 2015)

Workshop on symbolic combinatorics and algorithmic differential algebra. - Manuel Kauers; Peter Paule; Greg Reid (ACM Commun. Comput. Algebra, 2016)

Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems. - Wenyuan Wu; Changbo Chen; Greg Reid (CASC, 2017)

An SDP-based Method for the Real Radical Ideal Membership Test. - Fei Wang 043; Greg Reid; Henry Wolkowicz (SYNASC, 2017)

Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration. - Fei Wang 043; Greg Reid; Henry Wolkowicz (ACM Commun. Comput. Algebra, 2017)

Computing real witness points of positive dimensional polynomial systems. - Wenyuan Wu; Greg Reid; Yong Feng (Theor. Comput. Sci., 2017)

Introduction of the MapDE Algorithm for Determination of Mappings Relating Differential Equations. - Zahra Mohammadi; Gregory J. Reid; Tracy Shih-lung Huang (ISSAC, 2019)

The Lie Algebra of Vector Fields Package with Applications to Mappings of Differential Equations. - Zahra Mohammadi; Gregory J. Reid; Tracy Shih-lung Huang (MC, 2019)

Parametric Linear Algebra in Maple: Reduced Row Echelon Form. - Siyuan Deng; Greg Reid; D. J. Jeffrey (SYNASC, 2021)

Implicit Method for Degenerated Differential-Algebraic Equations and Applications. - Wenqiang Yang; Wenyuan Wu; Greg Reid (CoRR, 2021)

Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE. - Zahra Mohammadi; Gregory J. Reid; Tracy Shih-lung Huang (Math. Comput. Sci., 2021)

Algorithm for intersecting symbolic and approximate linear differential varieties. - Siyuan Deng; Zahra Mohammadi; Gregory J. Reid (SYNASC, 2022)

Index Reduction for Degenerated Differential-Algebraic Equations by Embedding. - Wenqiang Yang; Wenyuan Wu; Greg Reid (CoRR, 2022)

Symbolic and numeric computation of symmetries for a class of Schrödinger Equations. - Siyuan Deng; Gregory J. Reid (SYNASC, 2023)

General Index Reduction by Embedding for Integro-differential-algebraic Equations. - Wenqiang Yang; Wenyuan Wu; Greg Reid (CoRR, 2023)

Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems. - Siyuan Deng; Michelle Hatzel; Gregory J. Reid; Wenqiang Yang; Wenyuan Wu (CoRR, 2024)

Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations. - Siyuan Deng; Gregory J. Reid (CoRR, 2024)

Structural analysis by generalized embedding method for integro-differential-algebraic equations. - Wenqiang Yang; Wenyuan Wu; Yong Feng; Greg Reid (Comput. Appl. Math., 2025)