Gregory J. Reid

According to our database, Gregory J. Reid authored at least 46 papers between 1991 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2025

Structural analysis by generalized embedding method for integro-differential-algebraic equations.

Wenqiang Yang, Wenyuan Wu, Yong Feng, Greg Reid

Comput. Appl. Math., February, 2025

2024

Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations.

Siyuan Deng, Gregory J. Reid

CoRR, 2024

Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems.

Siyuan Deng, Michelle Hatzel, Gregory J. Reid, Wenqiang Yang, Wenyuan Wu

CoRR, 2024

2023

General Index Reduction by Embedding for Integro-differential-algebraic Equations.

Wenqiang Yang, Wenyuan Wu, Greg Reid

CoRR, 2023

Symbolic and numeric computation of symmetries for a class of Schrödinger Equations.

Siyuan Deng, Gregory J. Reid

Proceedings of the 25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2023

2022

Index Reduction for Degenerated Differential-Algebraic Equations by Embedding.

Wenqiang Yang, Wenyuan Wu, Greg Reid

CoRR, 2022

Algorithm for intersecting symbolic and approximate linear differential varieties.

Siyuan Deng, Zahra Mohammadi, Gregory J. Reid

Proceedings of the 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2022

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

Implicit Method for Degenerated Differential-Algebraic Equations and Applications.

Wenqiang Yang, Wenyuan Wu, Greg Reid

CoRR, 2021

Parametric Linear Algebra in Maple: Reduced Row Echelon Form.

Siyuan Deng, Greg Reid, D. J. Jeffrey

Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2021

2019

The Lie Algebra of Vector Fields Package with Applications to Mappings of Differential Equations.

Zahra Mohammadi, Gregory J. Reid, Tracy Shih-lung Huang

Proceedings of the Maple in Mathematics Education and Research - Third Maple Conference, 2019

Introduction of the MapDE Algorithm for Determination of Mappings Relating Differential Equations.

Zahra Mohammadi, Gregory J. Reid, Tracy Shih-lung Huang

Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

2017

Computing real witness points of positive dimensional polynomial systems.

Wenyuan Wu, Greg Reid, Yong Feng

Theor. Comput. Sci., 2017

Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration.

Fei Wang, Greg Reid, Henry Wolkowicz

ACM Commun. Comput. Algebra, 2017

An SDP-based Method for the Real Radical Ideal Membership Test.

Fei Wang, Greg Reid, Henry Wolkowicz

Proceedings of the 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2017

Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems.

Wenyuan Wu, Changbo Chen, Greg Reid

Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

2016

Workshop on symbolic combinatorics and algorithmic differential algebra.

Manuel Kauers, Peter Paule, Greg Reid

ACM Commun. Comput. Algebra, 2016

2015

Facial Reduction and SDP Methods for Systems of Polynomial Equations.

Greg Reid, Fei Wang, Henry Wolkowicz, Wenyuan Wu

CoRR, 2015

2014

Geometric involutive bases for positive dimensional polynomial ideals and SDP methods.

Greg Reid, Fei Wang, Wenyuan Wu

CoRR, 2014

Numerical and geometric properties of a method for finding points on real solution components.

Wenyuan Wu, Greg Reid, Yong Feng

Proceedings of the Symbolic-Numeric Computation 2014, 2014

A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods.

Greg Reid, Fei Wang, Wenyuan Wu

Proceedings of the Symbolic-Numeric Computation 2014, 2014

Structure of symmetry of PDE: exploiting partially integrated systems.

Ian G. Lisle, Tracy Shih-lung Huang, Gregory J. Reid

Proceedings of the Symbolic-Numeric Computation 2014, 2014

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

Finding points on real solution components and applications to differential polynomial systems.

Wenyuan Wu, Greg Reid

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

2009

Implicit Riquier Bases for PDAE and their semi-discretizations.

Wenyuan Wu, Greg Reid, Silvana Ilie

J. Symb. Comput., 2009

Solving polynomial systems via symbolic-numeric reduction to geometric involutive form.

Greg Reid, Lihong Zhi

J. Symb. Comput., 2009

2007

On approximate triangular decompositions in dimension zero.

Marc Moreno Maza, Gregory J. Reid, Robin Scott, Wenyuan Wu

J. Symb. Comput., 2007

Symbolic-numeric computation of implicit riquier bases for PDE.

Wenyuan Wu, Greg Reid

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

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

Symmetry Classification Using Noncommutative Invariant Differential Operators.

Ian G. Lisle, Gregory J. Reid

Found. Comput. Math., 2006

Application of numerical algebraic geometry and numerical linear algebra to PDE.

Wenyuan Wu, Greg Reid

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

2005

Symbolic-numeric completion of differential systems by homotopy continuation.

Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu

Proceedings of the Symbolic and Algebraic Computation, 2005

An Algebraic Method for Analyzing Open-Loop Dynamic Systems.

Wenqin Zhou, David J. Jeffrey, Gregory J. Reid

Proceedings of the Computational Science, 2005

2004

Assessing cellular automata based models using partial differential equations.

Andrea Doeschl, Matt Davison, Henning Rasmussen, Greg Reid

Math. Comput. Model., 2004

Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems.

Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Chad Schmitke, John McPhee

Proceedings of the Computer Algebra and Geometric Algebra with Applications, 2004

Hybrid Method for Solving New Pose Estimation Equation System.

Gregory J. Reid, Jianliang Tang, Jianping Yu, Lihong Zhi

Proceedings of the Computer Algebra and Geometric Algebra with Applications, 2004

2003

A complete symbolic-numeric linear method for camera pose determination.

Gregory J. Reid, Jianliang Tang, Lihong Zhi

Proceedings of the Symbolic and Algebraic Computation, 2003

2002

Geometric completion of differential systems using numeric-symbolic continuation.

Greg Reid, Chris Smith, Jan Verschelde

SIGSAM Bull., 2002

2000

Determination of maximal symmetry groups of classes of differential equations.

Gregory J. Reid, Allan D. Wittkopf

Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, 2000

1999

Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems.

C. J. Rust, Gregory J. Reid, Allan D. Wittkopf

Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, 1999

1998

Geometry and Structure of Lie Pseudogroups from Infinitesimal Defining Systems.

Ian G. Lisle, Gregory J. Reid

J. Symb. Comput., 1998

Active binaural sound localization.

Greg Reid, Evangelos E. Milios

Proceedings of the 9th European Signal Processing Conference, 1998

1997

Rankings of Partial Derivatives.

C. J. Rust, Gregory J. Reid

Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, 1997

1995

Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs.

Ian G. Lisle, Gregory J. Reid, A. Boulton

Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, 1995

1992

Algorithmic Determination of Commutation Relations for Lie Symmetry Algebras of PDEs.

Gregory J. Reid, Ian G. Lisle, A. Boulton, Allan D. Wittkopf

Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, 1992

1991

Reduction of Systems of Differential Equations to Standard form and Their Integration Using Directed Graphs.

Gregory J. Reid, A. Boulton

Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991