@article{DBLP:journals/jossac/YangWR26,
 author = {Wenqiang Yang and
Wenyuan Wu and
Greg Reid},
 doi = {10.1007/s11424-024-4048-5},
 journal = {J. Syst. Sci. Complex.},
 pages = {1306--1330},
 title = {Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations},
 url = {https://doi.org/10.1007/s11424-024-4048-5},
 volume = {39},
 year = {2026}
}

@article{DBLP:journals/cam/YangWFR25,
 author = {Wenqiang Yang and
Wenyuan Wu and
Yong Feng and
Greg Reid},
 doi = {10.1007/s40314-024-03006-9},
 journal = {Comput. Appl. Math.},
 pages = {45},
 title = {Structural analysis by generalized embedding method for integro-differential-algebraic equations},
 url = {https://doi.org/10.1007/s40314-024-03006-9},
 volume = {44},
 year = {2025}
}

@article{DBLP:journals/corr/abs-2410-12110,
 author = {Siyuan Deng and
Michelle Hatzel and
Gregory J. Reid and
Wenqiang Yang and
Wenyuan Wu},
 doi = {10.48550/arXiv.2410.12110},
 journal = {CoRR},
 title = {Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems},
 url = {https://doi.org/10.48550/arXiv.2410.12110},
 volume = {abs/2410.12110},
 year = {2024}
}

@article{DBLP:journals/corr/abs-2410-20608,
 author = {Siyuan Deng and
Gregory J. Reid},
 doi = {10.48550/arXiv.2410.20608},
 journal = {CoRR},
 title = {Contributions to the Algorithmic Foundations of Approximate Lie Symmetry Algebras of Differential Equations},
 url = {https://doi.org/10.48550/arXiv.2410.20608},
 volume = {abs/2410.20608},
 year = {2024}
}

@article{DBLP:journals/corr/abs-2301-06986,
 author = {Wenqiang Yang and
Wenyuan Wu and
Greg Reid},
 doi = {10.48550/arXiv.2301.06986},
 journal = {CoRR},
 title = {General Index Reduction by Embedding for Integro-differential-algebraic Equations},
 url = {https://doi.org/10.48550/arXiv.2301.06986},
 volume = {abs/2301.06986},
 year = {2023}
}

@inproceedings{DBLP:conf/synasc/DengR23,
 author = {Siyuan Deng and
Gregory J. Reid},
 booktitle = {25th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2023, Nancy, France, September 11-14, 2023},
 doi = {10.1109/SYNASC61333.2023.00016},
 pages = {68--75},
 publisher = {IEEE},
 title = {Symbolic and numeric computation of symmetries for a class of Schr{\"{o}}dinger Equations},
 url = {https://doi.org/10.1109/SYNASC61333.2023.00016},
 year = {2023}
}

@misc{zbMATH900576644,
 author = {Wenqiang Yang and Wenyuan Wu and Greg Reid},
 note = {Preprint, arXiv:2301.06986 [math.DS]},
 title = {Structural Analysis by Modified Signature Matrix for Integro-differential-algebraic Equations},
 url = {https://arxiv.org/abs/2301.06986},
 year = {2023}
}

@article{DBLP:journals/corr/abs-2210-16707,
 author = {Wenqiang Yang and
Wenyuan Wu and
Greg Reid},
 doi = {10.48550/arXiv.2210.16707},
 journal = {CoRR},
 title = {Index Reduction for Degenerated Differential-Algebraic Equations by Embedding},
 url = {https://doi.org/10.48550/arXiv.2210.16707},
 volume = {abs/2210.16707},
 year = {2022}
}

@inproceedings{DBLP:conf/synasc/DengMR22,
 author = {Siyuan Deng and
Zahra Mohammadi and
Gregory J. Reid},
 booktitle = {24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2022, Hagenberg / Linz, Austria, September 12-15, 2022},
 doi = {10.1109/SYNASC57785.2022.00020},
 editor = {Bruno Buchberger and
Mircea Marin and
Viorel Negru and
Daniela Zaharie},
 pages = {63--70},
 publisher = {IEEE},
 title = {Algorithm for intersecting symbolic and approximate linear differential varieties},
 url = {https://doi.org/10.1109/SYNASC57785.2022.00020},
 year = {2022}
}

@article{DBLP:journals/corr/abs-2111-08160,
 author = {Wenqiang Yang and
Wenyuan Wu and
Greg Reid},
 doi = {10.48550/arXiv.2111.08160},
 journal = {CoRR},
 title = {Implicit Method for Degenerated Differential-Algebraic Equations and Applications},
 url = {https://doi.org/10.48550/arXiv.2111.08160},
 volume = {abs/2111.08160},
 year = {2021}
}

@article{DBLP:journals/mics/MohammadiRH21,
 author = {Zahra Mohammadi and
Gregory J. Reid and
Tracy Shih-lung Huang},
 doi = {10.1007/s11786-020-00483-z},
 journal = {Math. Comput. Sci.},
 pages = {293--316},
 title = {Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE},
 url = {https://doi.org/10.1007/s11786-020-00483-z},
 volume = {15},
 year = {2021}
}

@inproceedings{DBLP:conf/synasc/DengRJ21,
 author = {Siyuan Deng and
Greg Reid and
D. J. Jeffrey},
 booktitle = {23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2021, Timisoara, Romania, December 7-10, 2021},
 doi = {10.1109/SYNASC54541.2021.00017},
 editor = {Carsten Schneider and
Mircea Marin and
Viorel Negru and
Daniela Zaharie},
 pages = {33--36},
 publisher = {IEEE},
 title = {Parametric Linear Algebra in Maple: Reduced Row Echelon Form},
 url = {https://doi.org/10.1109/SYNASC54541.2021.00017},
 year = {2021}
}

@inproceedings{DBLP:conf/issac/MohammadiRH19,
 author = {Zahra Mohammadi and
Gregory J. Reid and
Tracy Shih-lung Huang},
 booktitle = {Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, ISSAC 2019, Beijing, China, July 15-18, 2019.},
 doi = {10.1145/3326229.3326259},
 editor = {James H. Davenport and
Dongming Wang and
Manuel Kauers and
Russell J. Bradford},
 pages = {331--338},
 publisher = {ACM},
 title = {Introduction of the MapDE Algorithm for Determination of Mappings Relating Differential Equations},
 url = {https://doi.org/10.1145/3326229.3326259},
 year = {2019}
}

@inproceedings{DBLP:conf/mc2/MohammadiRH19,
 author = {Zahra Mohammadi and
Gregory J. Reid and
Tracy Shih-lung Huang},
 booktitle = {Maple in Mathematics Education and Research - Third Maple Conference, MC 2019, Waterloo, Ontario, Canada, October 15-17, 2019, Proceedings},
 doi = {10.1007/978-3-030-41258-6_27},
 editor = {J{\"{u}}rgen Gerhard and
Ilias S. Kotsireas},
 pages = {337--340},
 publisher = {Springer},
 title = {The Lie Algebra of Vector Fields Package with Applications to Mappings of Differential Equations},
 url = {https://doi.org/10.1007/978-3-030-41258-6_27},
 volume = {1125},
 year = {2019}
}

@misc{zbMATH900373424,
 author = {Zahra. Mohammadi and Gregory J. Reid and S. -L. Tracy Huang},
 note = {Preprint, arXiv:1903.03727 [math.AP]},
 title = {Extensions of the MapDE algorithm for mappings relating differential equations},
 url = {https://arxiv.org/abs/1903.03727},
 year = {2019}
}

@article{DBLP:journals/cca/WangRW17,
 author = {Fei Wang and
Greg Reid and
Henry Wolkowicz},
 doi = {10.1145/3096730.3096740},
 journal = {ACM Commun. Comput. Algebra},
 pages = {35--37},
 title = {Finding maximum rank moment matrices by facial reduction on primal form and Douglas-Rachford iteration},
 url = {https://doi.org/10.1145/3096730.3096740},
 volume = {51},
 year = {2017}
}

@article{DBLP:journals/tcs/WuRF17,
 author = {Wenyuan Wu and
Greg Reid and
Yong Feng},
 doi = {10.1016/j.tcs.2017.03.035},
 journal = {Theor. Comput. Sci.},
 pages = {217--231},
 title = {Computing real witness points of positive dimensional polynomial systems},
 url = {https://doi.org/10.1016/j.tcs.2017.03.035},
 volume = {681},
 year = {2017}
}

@inproceedings{DBLP:conf/casc/WuCR17,
 author = {Wenyuan Wu and
Changbo Chen and
Greg Reid},
 booktitle = {Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings},
 doi = {10.1007/978-3-319-66320-3_27},
 editor = {Vladimir P. Gerdt and
Wolfram Koepf and
Werner M. Seiler and
Evgenii V. Vorozhtsov},
 pages = {377--391},
 publisher = {Springer},
 title = {Penalty Function Based Critical Point Approach to Compute Real Witness Solution Points of Polynomial Systems},
 url = {https://doi.org/10.1007/978-3-319-66320-3_27},
 volume = {10490},
 year = {2017}
}

@inproceedings{DBLP:conf/synasc/WangRW17,
 author = {Fei Wang and
Greg Reid and
Henry Wolkowicz},
 booktitle = {19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2017, Timisoara, Romania, September 21-24, 2017},
 doi = {10.1109/SYNASC.2017.00025},
 editor = {Tudor Jebelean and
Viorel Negru and
Dana Petcu and
Daniela Zaharie and
Tetsuo Ida and
Stephen M. Watt},
 pages = {86--93},
 publisher = {IEEE Computer Society},
 title = {An SDP-based Method for the Real Radical Ideal Membership Test},
 url = {https://doi.org/10.1109/SYNASC.2017.00025},
 year = {2017}
}

@article{DBLP:journals/cca/KauersPR16,
 author = {Manuel Kauers and
Peter Paule and
Greg Reid},
 doi = {10.1145/2930964.2930968},
 journal = {ACM Commun. Comput. Algebra},
 pages = {27--34},
 title = {Workshop on symbolic combinatorics and algorithmic differential algebra},
 url = {https://doi.org/10.1145/2930964.2930968},
 volume = {50},
 year = {2016}
}

@misc{zbMATH900283507,
 author = {Fei Wang and Greg Reid and Henry Wolkowicz},
 note = {Preprint, arXiv:1606.00491 [math.OC]},
 title = {Computing the generators of the truncated real radical ideal by moment matrices and SDP facial reduction},
 url = {https://arxiv.org/abs/1606.00491},
 year = {2016}
}

@article{DBLP:journals/corr/ReidWWW15,
 author = {Greg Reid and
Fei Wang and
Henry Wolkowicz and
Wenyuan Wu},
 doi = {10.48550/arXiv.1504.00931},
 journal = {CoRR},
 title = {Facial Reduction and SDP Methods for Systems of Polynomial Equations},
 url = {https://doi.org/10.48550/arXiv.1504.00931},
 volume = {abs/1504.00931},
 year = {2015}
}

@article{DBLP:journals/corr/ReidWW14,
 author = {Greg Reid and
Fei Wang and
Wenyuan Wu},
 doi = {10.48550/arXiv.1405.7115},
 journal = {CoRR},
 title = {Geometric involutive bases for positive dimensional polynomial ideals and SDP methods},
 url = {https://doi.org/10.48550/arXiv.1405.7115},
 volume = {abs/1405.7115},
 year = {2014}
}

@inproceedings{DBLP:conf/snc/LisleHR14,
 author = {Ian G. Lisle and
Tracy Shih-lung Huang and
Gregory J. Reid},
 booktitle = {Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014},
 doi = {10.1145/2631948.2631962},
 editor = {Lihong Zhi and
Stephen M. Watt},
 pages = {61--69},
 publisher = {ACM},
 title = {Structure of symmetry of PDE: exploiting partially integrated systems},
 url = {https://doi.org/10.1145/2631948.2631962},
 year = {2014}
}

@inproceedings{DBLP:conf/snc/ReidWW14,
 author = {Greg Reid and
Fei Wang and
Wenyuan Wu},
 booktitle = {Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014},
 doi = {10.1145/2631948.2631958},
 editor = {Lihong Zhi and
Stephen M. Watt},
 pages = {41--42},
 publisher = {ACM},
 title = {A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods},
 url = {https://doi.org/10.1145/2631948.2631958},
 year = {2014}
}

@inproceedings{DBLP:conf/snc/WuRF14,
 author = {Wenyuan Wu and
Greg Reid and
Yong Feng},
 booktitle = {Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014},
 doi = {10.1145/2631948.2631969},
 editor = {Lihong Zhi and
Stephen M. Watt},
 pages = {111--117},
 publisher = {ACM},
 title = {Numerical and geometric properties of a method for finding points on real solution components},
 url = {https://doi.org/10.1145/2631948.2631969},
 year = {2014}
}

@article{DBLP:journals/ijmssc/QinWFR13,
 author = {Xiaolin Qin and
Wenyuan Wu and
Yong Feng and
Greg Reid},
 doi = {10.1142/S1793962313420087},
 journal = {Int. J. Model. Simul. Sci. Comput.},
 pages = {1342008},
 title = {Structural Analysis of High-Index DAE for Process simulation},
 url = {https://doi.org/10.1142/S1793962313420087},
 volume = {4},
 year = {2013}
}

@inproceedings{DBLP:conf/issac/WuR13,
 author = {Wenyuan Wu and
Greg Reid},
 booktitle = {International Symposium on Symbolic and Algebraic Computation, ISSAC'13, Boston, MA, USA, June 26-29, 2013},
 doi = {10.1145/2465506.2465954},
 editor = {Manuel Kauers},
 pages = {339--346},
 publisher = {ACM},
 title = {Finding points on real solution components and applications to differential polynomial systems},
 url = {https://doi.org/10.1145/2465506.2465954},
 year = {2013}
}

@article{DBLP:journals/corr/abs-1206-6177,
 author = {Xiaolin Qin and
Wenyuan Wu and
Yong Feng and
Greg Reid},
 doi = {10.48550/arXiv.1206.6177},
 journal = {CoRR},
 title = {Structural analysis of high-index DAE for process simulation},
 url = {https://doi.org/10.48550/arXiv.1206.6177},
 volume = {abs/1206.6177},
 year = {2012}
}

@article{DBLP:journals/jsc/ReidZ09,
 author = {Greg Reid and
Lihong Zhi},
 doi = {10.1016/j.jsc.2007.10.013},
 journal = {J. Symb. Comput.},
 pages = {280--291},
 title = {Solving polynomial systems via symbolic-numeric reduction to geometric involutive form},
 url = {https://doi.org/10.1016/j.jsc.2007.10.013},
 volume = {44},
 year = {2009}
}

@article{DBLP:journals/jsc/WuRI09,
 author = {Wenyuan Wu and
Greg Reid and
Silvana Ilie},
 doi = {10.1016/j.jsc.2008.04.020},
 journal = {J. Symb. Comput.},
 pages = {923--941},
 title = {Implicit Riquier Bases for PDAE and their semi-discretizations},
 url = {https://doi.org/10.1016/j.jsc.2008.04.020},
 volume = {44},
 year = {2009}
}

@inproceedings{zbMATH5763093,
 author = {Wu, Wenyuan and Reid, Greg and Golubitsky, Oleg},
 booktitle = {Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 79-97},
 doi = {10.1007/978-3-211-99314-9_3},
 pages = {79--97},
 title = {Towards geometric completion of differential systems by points},
 url = {https://doi.org/10.1007/978-3-211-99314-9_3},
 year = {2009}
}

@inproceedings{zbMATH5763094,
 author = {Scott, Robin and Reid, Greg and Wu, Wenyuan and Zhi, Lihong},
 booktitle = {Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 99-124},
 doi = {10.1007/978-3-211-99314-9_4},
 pages = {99--124},
 title = {Geometric involutive bases and applications to approximate commutative algebra},
 url = {https://doi.org/10.1007/978-3-211-99314-9_4},
 year = {2009}
}

@article{DBLP:journals/jsc/MazaRSW07,
 author = {Marc Moreno Maza and
Gregory J. Reid and
Robin Scott and
Wenyuan Wu},
 doi = {10.1016/j.jsc.2006.12.004},
 journal = {J. Symb. Comput.},
 pages = {693--716},
 title = {On approximate triangular decompositions in dimension zero},
 url = {https://doi.org/10.1016/j.jsc.2006.12.004},
 volume = {42},
 year = {2007}
}

@inproceedings{DBLP:conf/issac/WuR07,
 author = {Wenyuan Wu and
Greg Reid},
 booktitle = {Symbolic and Algebraic Computation, International Symposium, ISSAC 2007, Waterloo, Ontario, Canada, July 28 - August 1, 2007, Proceedings},
 doi = {10.1145/1277548.1277599},
 editor = {Dongming Wang},
 pages = {377--386},
 publisher = {ACM},
 title = {Symbolic-numeric computation of implicit riquier bases for PDE},
 url = {https://doi.org/10.1145/1277548.1277599},
 year = {2007}
}

@inproceedings{zbMATH5168258,
 author = {Moreno Maza, Marc and Reid, Greg J. and Scott, Robin and Wu, Wenyuan},
 booktitle = {Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkh{\"{a}}user (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 279-298},
 pages = {279--298},
 title = {On approximate linearized triangular decompositions},
 year = {2007}
}

@inproceedings{zbMATH5168261,
 author = {Zhou, Wenqin and Jeffrey, David J. and Reid, Greg J.},
 booktitle = {Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkh{\"{a}}user (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 335-347},
 pages = {335--347},
 title = {Symbolic computation sequences and numerical analytic geometry applied to multibody dynamical systems},
 year = {2007}
}

@article{DBLP:journals/focm/LisleR06,
 author = {Ian G. Lisle and
Gregory J. Reid},
 doi = {10.1007/s10208-005-0186-x},
 journal = {Found. Comput. Math.},
 pages = {353--386},
 title = {Symmetry Classification Using Noncommutative Invariant Differential Operators},
 url = {https://doi.org/10.1007/s10208-005-0186-x},
 volume = {6},
 year = {2006}
}

@article{DBLP:journals/na/IlieCR06,
 author = {Silvana Ilie and
Robert M. Corless and
Greg Reid},
 doi = {10.1007/s11075-005-9007-1},
 journal = {Numer. Algorithms},
 pages = {161--171},
 title = {Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time},
 url = {https://doi.org/10.1007/s11075-005-9007-1},
 volume = {41},
 year = {2006}
}

@inproceedings{DBLP:conf/issac/WuR06,
 author = {Wenyuan Wu and
Greg Reid},
 booktitle = {Symbolic and Algebraic Computation, International Symposium, ISSAC 2006, Genoa, Italy, July 9-12, 2006, Proceedings},
 doi = {10.1145/1145768.1145824},
 editor = {Barry M. Trager},
 pages = {345--352},
 publisher = {ACM},
 title = {Application of numerical algebraic geometry and numerical linear algebra to PDE},
 url = {https://doi.org/10.1145/1145768.1145824},
 year = {2006}
}

@inproceedings{DBLP:conf/iccS/ZhouJR05,
 author = {Wenqin Zhou and
David J. Jeffrey and
Gregory J. Reid},
 booktitle = {Computational Science - ICCS 2005, 5th International Conference, Atlanta, GA, USA, May 22-25, 2005, Proceedings, Part III},
 doi = {10.1007/11428862_80},
 editor = {Vaidy S. Sunderam and
G. Dick van Albada and
Peter M. A. Sloot and
Jack J. Dongarra},
 pages = {586--593},
 publisher = {Springer},
 title = {An Algebraic Method for Analyzing Open-Loop Dynamic Systems},
 url = {https://doi.org/10.1007/11428862_80},
 volume = {3516},
 year = {2005}
}

@inproceedings{DBLP:conf/issac/ReidVWW05,
 author = {Greg Reid and
Jan Verschelde and
Allan D. Wittkopf and
Wenyuan Wu},
 booktitle = {Symbolic and Algebraic Computation, International Symposium ISSAC 2005, Beijing, China, July 24-27, 2005, Proceedings},
 doi = {10.1145/1073884.1073922},
 editor = {Manuel Kauers},
 pages = {269--276},
 publisher = {ACM},
 title = {Symbolic-numeric completion of differential systems by homotopy continuation},
 url = {https://doi.org/10.1145/1073884.1073922},
 year = {2005}
}

@inproceedings{zbMATH2236717,
 author = {Bonasia, J. and Lemaire, Fran{\c{c}}ois and Reid, Greg and Scott, Robin and Zhi, Lihong},
 booktitle = {Winternitz, P. (ed.) et al., Group theory and numerical analysis. Selected papers based on the presentation at the workshop, Montr{\'{e}}al, Canada, May 26--31, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3565-3/pbk). CRM Proceedings and Lecture Notes 39, 249-266},
 pages = {249--266},
 title = {Determination of approximate symmetries of differential equations},
 year = {2005}
}

@article{DBLP:journals/mcm/DoeschlDRR04,
 author = {Andrea Doeschl and
Matt Davison and
Henning Rasmussen and
Greg Reid},
 doi = {10.1016/j.mcm.2004.04.004},
 journal = {Math. Comput. Model.},
 pages = {977--994},
 title = {Assessing cellular automata based models using partial differential equations},
 url = {https://doi.org/10.1016/j.mcm.2004.04.004},
 volume = {40},
 year = {2004}
}

@inproceedings{DBLP:conf/giae/ReidTYZ04,
 author = {Gregory J. Reid and
Jianliang Tang and
Jianping Yu and
Lihong Zhi},
 booktitle = {Computer Algebra and Geometric Algebra with Applications, 6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004, and International Workshop, GIAE 2004, Xian, China, May 24-28, 2004, Revised Selected Papers},
 doi = {10.1007/11499251_5},
 editor = {Hongbo Li and
Peter J. Olver and
Gerald Sommer},
 pages = {44--55},
 publisher = {Springer},
 title = {Hybrid Method for Solving New Pose Estimation Equation System},
 url = {https://doi.org/10.1007/11499251_5},
 volume = {3519},
 year = {2004}
}

@inproceedings{DBLP:conf/giae/ZhouJRSM04,
 author = {Wenqin Zhou and
David J. Jeffrey and
Gregory J. Reid and
Chad Schmitke and
John McPhee},
 booktitle = {Computer Algebra and Geometric Algebra with Applications, 6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004, and International Workshop, GIAE 2004, Xian, China, May 24-28, 2004, Revised Selected Papers},
 doi = {10.1007/11499251_4},
 editor = {Hongbo Li and
Peter J. Olver and
Gerald Sommer},
 pages = {31--43},
 publisher = {Springer},
 title = {Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems},
 url = {https://doi.org/10.1007/11499251_4},
 volume = {3519},
 year = {2004}
}

@inproceedings{DBLP:conf/issac/ReidTZ03,
 author = {Gregory J. Reid and
Jianliang Tang and
Lihong Zhi},
 booktitle = {Symbolic and Algebraic Computation, International Symposium ISSAC 2003, Drexel University, Philadelphia, Pennsylvania, USA, August 3-6, 2003, Proceedings},
 doi = {10.1145/860854.860900},
 editor = {J. Rafael Sendra},
 pages = {215--223},
 publisher = {ACM},
 title = {A complete symbolic-numeric linear method for camera pose determination},
 url = {https://doi.org/10.1145/860854.860900},
 year = {2003}
}

@inproceedings{zbMATH2034387,
 author = {Hazaveh, K. and Jeffrey, D. J. and Reid, G. J. and Watt, S. M. and Wittkopf, A. D.},
 booktitle = {Li, Ziming (ed.) et al., Computer mathematics. Proceedings of the sixth Asian symposium (ASCM 2003), Beijing, China, April 17--19, 2003. River Edge, NJ: World Scientific (ISBN 981-238-220-8/hbk). Lect. Notes Ser. Comput. 10, 145-162},
 pages = {145--162},
 title = {An exploration of homotopy solving in Maple},
 year = {2003}
}

@article{DBLP:journals/cca/ReidSV02,
 author = {Greg Reid and
Chris Smith and
Jan Verschelde},
 doi = {10.1145/581316.581317},
 journal = {SIGSAM Bull.},
 pages = {1--17},
 title = {Geometric completion of differential systems using numeric-symbolic continuation},
 url = {https://doi.org/10.1145/581316.581317},
 volume = {36},
 year = {2002}
}

@article{zbMATH1683807,
 author = {Wittkopf, Allan D. and Reid, Gregory J.},
 doi = {10.1016/S0010-4655(01)00192-8},
 journal = {Computer Physics Communications},
 pages = {192--217},
 title = {Fast differential eleminination in C: The CDiffElim environment},
 url = {https://doi.org/10.1016/S0010-4655(01)00192-8},
 volume = {139},
 year = {2001}
}

@article{zbMATH1844282,
 author = {Reid, Gregory J. and Lin, Ping and Wittkopf, Allan D.},
 doi = {10.1111/1467-9590.00159},
 journal = {Studies in Applied Mathematics},
 pages = {1--45},
 title = {Differential elimination-completion algorithms for DAE and PDAE.},
 url = {https://doi.org/10.1111/1467-9590.00159},
 volume = {106},
 year = {2001}
}

@inproceedings{DBLP:conf/issac/ReidW00,
 author = {Gregory J. Reid and
Allan D. Wittkopf},
 booktitle = {Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, ISSAC 2000, St. Andrews, United Kingdom, August 6-10, 2000},
 doi = {10.1145/345542.345651},
 editor = {Carlo Traverso},
 pages = {272--280},
 publisher = {ACM},
 title = {Determination of maximal symmetry groups of classes of differential equations},
 url = {https://doi.org/10.1145/345542.345651},
 year = {2000}
}

@inproceedings{zbMATH1500706,
 author = {Lisle, Ian G. and Reid, Gregory J.},
 booktitle = {Vassiliou, Peter J. (ed.) et al., Geometric approaches to differential equations. Cambridge: Cambridge University Press. Aust. Math. Soc. Lect. Ser. 15, 116-145},
 pages = {116--145},
 title = {Cartan structures of infinite Lie pseudogroups},
 year = {2000}
}

@inproceedings{DBLP:conf/issac/RustRW99,
 author = {C. J. Rust and
Gregory J. Reid and
Allan D. Wittkopf},
 booktitle = {Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, ISSAC '99, Vancouver, B.C., Canada, July 29-31, 1999},
 doi = {10.1145/309831.309875},
 editor = {Keith O. Geddes and
Bruno Salvy and
Samuel S. Dooley},
 pages = {105--112},
 publisher = {ACM},
 title = {Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems},
 url = {https://doi.org/10.1145/309831.309875},
 year = {1999}
}

@article{DBLP:journals/jsc/LisleR98,
 author = {Ian G. Lisle and
Gregory J. Reid},
 doi = {10.1006/jsco.1998.0218},
 journal = {J. Symb. Comput.},
 pages = {355--379},
 title = {Geometry and Structure of Lie Pseudogroups from Infinitesimal Defining Systems},
 url = {https://doi.org/10.1006/jsco.1998.0218},
 volume = {26},
 year = {1998}
}

@article{zbMATH1372349,
 author = {Mansfield, Elizabeth L. and Reid, Gregory J. and Clarkson, Peter A.},
 doi = {10.1016/S0010-4655(98)00136-2},
 journal = {Computer Physics Communications},
 pages = {460--488},
 title = {Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schr{\"{o}}dinger system},
 url = {https://doi.org/10.1016/S0010-4655(98)00136-2},
 volume = {115},
 year = {1998}
}

@inproceedings{DBLP:conf/eusipco/ReidM98,
 author = {Greg Reid and
Evangelos E. Milios},
 booktitle = {9th European Signal Processing Conference, EUSIPCO 1998, Island of Rhodes, Greece, 8-11 September, 1998},
 pages = {1--4},
 publisher = {IEEE},
 title = {Active binaural sound localization},
 url = {https://ieeexplore.ieee.org/document/7089572/},
 year = {1998}
}

@inproceedings{DBLP:conf/issac/RustR97,
 author = {C. J. Rust and
Gregory J. Reid},
 booktitle = {Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, ISSAC 1997, Maui, Hawaii, USA, July 21-23, 1997},
 doi = {10.1145/258726.258737},
 editor = {Bruce W. Char and
Paul S. Wang and
Wolfgang K{\"{u}}chlin},
 pages = {9--16},
 publisher = {ACM},
 title = {Rankings of Partial Derivatives},
 url = {https://doi.org/10.1145/258726.258737},
 year = {1997}
}

@article{zbMATH1019642,
 author = {Reid, Gregory J. and Wittkopf, Allan D. and Boulton, Alan},
 doi = {10.1017/S0956792500002618},
 journal = {European Journal of Applied Mathematics},
 pages = {635--666},
 title = {Reduction of systems of nonlinear partial differential equations to simplified involutive forms},
 url = {https://doi.org/10.1017/S0956792500002618},
 volume = {7},
 year = {1996}
}

@inproceedings{DBLP:conf/issac/LisleRB95,
 author = {Ian G. Lisle and
Gregory J. Reid and
A. Boulton},
 booktitle = {Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC '95, Montreal, Canada, July 10-12, 1995},
 doi = {10.1145/220346.220347},
 editor = {A. H. M. Levelt},
 pages = {1--6},
 publisher = {ACM},
 title = {Algorithmic Determination of Structure of Infinite Lie Pseudogroups of Symmetries of PDEs},
 url = {https://doi.org/10.1145/220346.220347},
 year = {1995}
}

@inproceedings{zbMATH524287,
 author = {Reid, G. J. and Weih, D. T. and Wittkopf, A. D.},
 booktitle = {Ibragimov, N. Kh. (ed.) et al., Modern group analysis: Advanced analytical and computational methods in mathematical physics. Proceedings of the international workshop Acireale, Catania, Italy, October 27-31, 1992. Dordrecht: Kluwer Academic Publishers. 311-316},
 pages = {311--316},
 title = {A point symmetry group of a differential equation which cannot be found using infinitesimal methods},
 year = {1993}
}

@inproceedings{DBLP:conf/issac/ReidLBW92,
 author = {Gregory J. Reid and
Ian G. Lisle and
A. Boulton and
Allan D. Wittkopf},
 booktitle = {Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, ISSAC '92, Berkeley, CA, USA, July 27-29, 1992},
 doi = {10.1145/143242.143269},
 editor = {Paul S. Wang},
 pages = {63--68},
 publisher = {ACM},
 title = {Algorithmic Determination of Commutation Relations for Lie Symmetry Algebras of PDEs},
 url = {https://doi.org/10.1145/143242.143269},
 year = {1992}
}

@article{zbMATH38734,
 author = {Reid, Gregory J.},
 doi = {10.1017/S0956792500000577},
 journal = {European Journal of Applied Mathematics},
 pages = {293--318},
 title = {Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution},
 url = {https://doi.org/10.1017/S0956792500000577},
 volume = {2},
 year = {1991}
}

@article{zbMATH38735,
 author = {Reid, Gregory J.},
 doi = {10.1017/S0956792500000589},
 journal = {European Journal of Applied Mathematics},
 pages = {319--340},
 title = {Finding abstract Lie symmetry algebras of differential equations without integrating determining equations},
 url = {https://doi.org/10.1017/S0956792500000589},
 volume = {2},
 year = {1991}
}

@inproceedings{DBLP:conf/issac/ReidB91,
 author = {Gregory J. Reid and
A. Boulton},
 booktitle = {Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, ISSAC '91, Bonn, Germany, July 15-17, 1991},
 doi = {10.1145/120694.120741},
 editor = {Stephen M. Watt},
 pages = {308--312},
 publisher = {ACM},
 title = {Reduction of Systems of Differential Equations to Standard form and Their Integration Using Directed Graphs},
 url = {https://doi.org/10.1145/120694.120741},
 year = {1991}
}

@article{zbMATH4194241,
 author = {Reid, G. J.},
 doi = {10.1088/0305-4470/23/17/001},
 journal = {Journal of Physics A: Mathematical and General},
 pages = {L853--L859},
 title = {A triangularization algorithm which determines the Lie symmetry algebra of any system of PDEs},
 url = {https://doi.org/10.1088/0305-4470/23/17/001},
 volume = {23},
 year = {1990}
}

@inproceedings{zbMATH17974,
 author = {Reid, Gregory J.},
 booktitle = {Lie theory, differential equations and representation theory, Proc. Annu. Semin. Can. Math. Soc., Montr{\'{e}}al/Can. 1989, 363-372},
 pages = {363--372},
 title = {Algorithmic determination of Lie symmetry algebras of differential equations},
 year = {1990}
}

@article{zbMATH4136437,
 author = {Bluman, George W. and Reid, Gregory J.},
 doi = {10.1016/0022-247X(89)90352-1},
 journal = {Journal of Mathematical Analysis and Applications},
 pages = {565--585},
 title = {Sequences of related linear PDEs},
 url = {https://doi.org/10.1016/0022-247X(89)90352-1},
 volume = {144},
 year = {1989}
}

@article{zbMATH4078711,
 author = {Blum, E. K. and Reid, G. J.},
 doi = {10.1137/0725007},
 journal = {SIAM Journal on Numerical Analysis},
 pages = {75--90},
 title = {On the numerical solution of three-dimensional boundary problems by separation of variables},
 url = {https://doi.org/10.1137/0725007},
 volume = {25},
 year = {1988}
}

@article{zbMATH4096441,
 author = {Bluman, George W. and Reid, Gregory J. and Kumei, Sukeyuki},
 doi = {10.1063/1.527974},
 journal = {Journal of Mathematical Physics},
 pages = {806--811},
 title = {New classes of symmetries for partial differential equations},
 url = {https://doi.org/10.1063/1.527974},
 volume = {29},
 year = {1988}
}

@article{zbMATH4102147,
 author = {Bluman, George W. and Reid, Gregory J.},
 doi = {10.1093/imamat/40.2.87},
 journal = {IMA Journal of Applied Mathematics},
 pages = {87--94},
 title = {New symmetries for ordinary differential equations},
 url = {https://doi.org/10.1093/imamat/40.2.87},
 volume = {40},
 year = {1988}
}

@article{zbMATH4121094,
 author = {Bluman, G. W. and Reid, G. J. and Kumei, Sukeyuki},
 doi = {10.1063/1.528113},
 journal = {Journal of Mathematical Physics},
 pages = {2320},
 title = {Erratum: New classes of symmetries for partial differential equations},
 url = {https://doi.org/10.1063/1.528113},
 volume = {29},
 year = {1988}
}

@article{zbMATH4140381,
 author = {Reid, Gregory J.},
 doi = {10.1088/0305-4470/21/2/014},
 journal = {Journal of Physics A: Mathematical and General},
 pages = {353--362},
 title = {Determination of the symmetries characterising separable systems in Euclidean spaces},
 url = {https://doi.org/10.1088/0305-4470/21/2/014},
 volume = {21},
 year = {1988}
}

@article{zbMATH4024344,
 author = {Reid, Gregory John},
 doi = {10.1137/0517048},
 journal = {SIAM Journal on Mathematical Analysis},
 pages = {646--687},
 title = {R-separation for heat and Schr{\"{o}}dinger equations. I},
 url = {https://doi.org/10.1137/0517048},
 volume = {17},
 year = {1986}
}

@article{zbMATH3864011,
 author = {Kalnins, E. G. and Miller, W. jun. and Reid, G. J.},
 doi = {10.1098/rspa.1984.0075},
 journal = {Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
 pages = {183--206},
 title = {Separation of variables for complex Riemannian spaces of constant curvature. I: Orthogonal separable coordinates for \(S_{n{\mathbb{C}}}\) and \(E_{n{\mathbb{C}}}\)},
 url = {https://doi.org/10.1098/rspa.1984.0075},
 volume = {394},
 year = {1984}
}

@article{zbMATH3816528,
 author = {Kalnins, E. G. and Reid, G. J.},
 doi = {10.1007/BF00401733},
 journal = {Letters in Mathematical Physics},
 pages = {97--100},
 title = {R-separation for the Hamilton-Jacobi equation},
 url = {https://doi.org/10.1007/BF00401733},
 volume = {6},
 year = {1982}
}