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ORCIDGregory J. Reid
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2020 – today
- 2025
[j14]Wenqiang Yang, Wenyuan Wu, Yong Feng, Greg Reid:
Structural analysis by generalized embedding method for integro-differential-algebraic equations. Comput. Appl. Math. 44(1): 45 (2025)- 2024
- [i8]Siyuan Deng, Michelle Hatzel, Gregory J. Reid, Wenqiang Yang, Wenyuan Wu:
Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems. CoRR abs/2410.12110 (2024) - [i7]Siyuan Deng, Gregory J. Reid:
Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations. CoRR abs/2410.20608 (2024) - 2023
- [c25]Siyuan Deng, Gregory J. Reid:
Symbolic and numeric computation of symmetries for a class of Schrödinger Equations. SYNASC 2023: 68-75 - [i6]Wenqiang Yang, Wenyuan Wu, Greg Reid:
General Index Reduction by Embedding for Integro-differential-algebraic Equations. CoRR abs/2301.06986 (2023) - 2022
- [c24]Siyuan Deng, Zahra Mohammadi, Gregory J. Reid:
Algorithm for intersecting symbolic and approximate linear differential varieties. SYNASC 2022: 63-70 - [i5]Wenqiang Yang, Wenyuan Wu, Greg Reid:
Index Reduction for Degenerated Differential-Algebraic Equations by Embedding. CoRR abs/2210.16707 (2022) - 2021
- [j13]Zahra Mohammadi, Gregory J. Reid, Tracy Shih-lung Huang:
Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE. Math. Comput. Sci. 15(2): 293-316 (2021) - [c23]Siyuan Deng, Greg Reid, D. J. Jeffrey:
Parametric Linear Algebra in Maple: Reduced Row Echelon Form. SYNASC 2021: 33-36 - [i4]Wenqiang Yang, Wenyuan Wu, Greg Reid:
Implicit Method for Degenerated Differential-Algebraic Equations and Applications. CoRR abs/2111.08160 (2021)
2010 – 2019
- 2019
- [c22]Zahra Mohammadi, Gregory J. Reid, Tracy Shih-lung Huang:
Introduction of the MapDE Algorithm for Determination of Mappings Relating Differential Equations. ISSAC 2019: 331-338 - [c21]Zahra Mohammadi, Gregory J. Reid, Tracy Shih-lung Huang:
The Lie Algebra of Vector Fields Package with Applications to Mappings of Differential Equations. MC 2019: 337-340 - 2017
- [j12]Fei Wang, Greg Reid, Henry Wolkowicz:
Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration. ACM Commun. Comput. Algebra 51(1): 35-37 (2017) - [j11]Wenyuan Wu, Greg Reid, Yong Feng:
Computing real witness points of positive dimensional polynomial systems. Theor. Comput. Sci. 681: 217-231 (2017) - [c20]Wenyuan Wu, Changbo Chen, Greg Reid:
Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems. CASC 2017: 377-391 - [c19]Fei Wang, Greg Reid, Henry Wolkowicz:
An SDP-based Method for the Real Radical Ideal Membership Test. SYNASC 2017: 86-93 - 2016
- [j10]Manuel Kauers, Peter Paule, Greg Reid:
Workshop on symbolic combinatorics and algorithmic differential algebra. ACM Commun. Comput. Algebra 50(1): 27-34 (2016) - 2015
- [i3]Greg Reid, Fei Wang, Henry Wolkowicz, Wenyuan Wu:
Facial Reduction and SDP Methods for Systems of Polynomial Equations. CoRR abs/1504.00931 (2015) - 2014
- [c18]Greg Reid, Fei Wang, Wenyuan Wu:
A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods. SNC 2014: 41-42 - [c17]Ian G. Lisle, Tracy Shih-lung Huang, Gregory J. Reid:
Structure of symmetry of PDE: exploiting partially integrated systems. SNC 2014: 61-69 - [c16]Wenyuan Wu, Greg Reid, Yong Feng:
Numerical and geometric properties of a method for finding points on real solution components. SNC 2014: 111-117 - [i2]Greg Reid, Fei Wang, Wenyuan Wu:
Geometric involutive bases for positive dimensional polynomial ideals and SDP methods. CoRR abs/1405.7115 (2014) - 2013
- [j9]Xiaolin Qin, Wenyuan Wu, Yong Feng, Greg Reid:
Structural Analysis of High-Index DAE for Process simulation. Int. J. Model. Simul. Sci. Comput. 4(4): 1342008 (2013) - [c15]Wenyuan Wu, Greg Reid:
Finding points on real solution components and applications to differential polynomial systems. ISSAC 2013: 339-346 - 2012
- [i1]Xiaolin Qin, Wenyuan Wu, Yong Feng, Greg Reid:
Structural analysis of high-index DAE for process simulation. CoRR abs/1206.6177 (2012)
2000 – 2009
- 2009
- [j8]Greg Reid, Lihong Zhi:
Solving polynomial systems via symbolic-numeric reduction to geometric involutive form. J. Symb. Comput. 44(3): 280-291 (2009) - [j7]Wenyuan Wu, Greg Reid, Silvana Ilie:
Implicit Riquier Bases for PDAE and their semi-discretizations. J. Symb. Comput. 44(7): 923-941 (2009) - 2007
- [j6]Marc Moreno Maza, Gregory J. Reid, Robin Scott, Wenyuan Wu:
On approximate triangular decompositions in dimension zero. J. Symb. Comput. 42(7): 693-716 (2007) - [c14]Wenyuan Wu, Greg Reid:
Symbolic-numeric computation of implicit riquier bases for PDE. ISSAC 2007: 377-386 - 2006
- [j5]Ian G. Lisle, Gregory J. Reid:
Symmetry Classification Using Noncommutative Invariant Differential Operators. Found. Comput. Math. 6(3): 353-386 (2006) - [j4]Silvana Ilie, Robert M. Corless
, Greg Reid:
Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Numer. Algorithms 41(2): 161-171 (2006) - [c13]Wenyuan Wu, Greg Reid:
Application of numerical algebraic geometry and numerical linear algebra to PDE. ISSAC 2006: 345-352 - 2005
- [c12]Wenqin Zhou, David J. Jeffrey, Gregory J. Reid:
An Algebraic Method for Analyzing Open-Loop Dynamic Systems. International Conference on Computational Science (3) 2005: 586-593 - [c11]Greg Reid, Jan Verschelde, Allan D. Wittkopf, Wenyuan Wu:
Symbolic-numeric completion of differential systems by homotopy continuation. ISSAC 2005: 269-276 - 2004
- [j3]Andrea Doeschl, Matt Davison, Henning Rasmussen, Greg Reid:
Assessing cellular automata based models using partial differential equations. Math. Comput. Model. 40(9-10): 977-994 (2004) - [c10]Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Chad Schmitke, John McPhee:
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems. IWMM/GIAE 2004: 31-43 - [c9]Gregory J. Reid, Jianliang Tang, Jianping Yu, Lihong Zhi:
Hybrid Method for Solving New Pose Estimation Equation System. IWMM/GIAE 2004: 44-55 - 2003
- [c8]Gregory J. Reid, Jianliang Tang, Lihong Zhi:
A complete symbolic-numeric linear method for camera pose determination. ISSAC 2003: 215-223 - 2002
- [j2]Greg Reid, Chris Smith, Jan Verschelde:
Geometric completion of differential systems using numeric-symbolic continuation. SIGSAM Bull. 36(2): 1-17 (2002) - 2000
- [c7]Gregory J. Reid, Allan D. Wittkopf:
Determination of maximal symmetry groups of classes of differential equations. ISSAC 2000: 272-280
1990 – 1999
- 1999
- [c6]C. J. Rust, Gregory J. Reid, Allan D. Wittkopf:
Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems. ISSAC 1999: 105-112 - 1998
- [j1]Ian G. Lisle, Gregory J. Reid:
Geometry and Structure of Lie Pseudogroups from Infinitesimal Defining Systems. J. Symb. Comput. 26(3): 355-379 (1998) - [c5]Greg Reid, Evangelos E. Milios:
Active binaural sound localization. EUSIPCO 1998: 1-4 - 1997
- [c4]C. J. Rust, Gregory J. Reid:
Rankings of Partial Derivatives. ISSAC 1997: 9-16 - 1995
- [c3]Ian G. Lisle, Gregory J. Reid, A. Boulton:
Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs. ISSAC 1995: 1-6 - 1992
- [c2]Gregory J. Reid, Ian G. Lisle, A. Boulton, Allan D. Wittkopf:
Algorithmic Determination of Commutation Relations for Lie Symmetry Algebras of PDEs. ISSAC 1992: 63-68 - 1991
- [c1]Gregory J. Reid, A. Boulton:
Reduction of Systems of Differential Equations to Standard form and Their Integration Using Directed Graphs. ISSAC 1991: 308-312
Coauthor Index
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