[ 2022 ]




[ 2021 ]


[ 46 ]
Wenqiang Yang, Wenyuan Wu, and Greg Reid. Implicit method for degenerated differential-algebraic equations and applications. CoRR, abs/2111.08160, 2021. [ http ]
@article{DBLP:journals/corr/abs-2111-08160,
 author = {Wenqiang Yang and
Wenyuan Wu and
Greg Reid},
 journal = {CoRR},
 title = {Implicit Method for Degenerated Differential-Algebraic Equations and
Applications},
 url = {https://arxiv.org/abs/2111.08160},
 volume = {abs/2111.08160},
 year = {2021}
}
[ 45 ]
Zahra Mohammadi, Gregory J. Reid, and Tracy Shih-lung Huang. Symmetry-based algorithms for invertible mappings of polynomially nonlinear PDE to linear PDE. Math. Comput. Sci., 15:293--316, 2021. [ http ]
@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}
}
[ 44 ]
Siyuan Deng, Greg Reid, and D. J. Jeffrey. Parametric linear algebra in maple: Reduced row echelon form. In Carsten Schneider, Mircea Marin, Viorel Negru, and Daniela Zaharie, editors, 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2021, Timisoara, Romania, December 7-10, 2021, pages 33--36. IEEE, 2021. [ http ]
@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}
}


[ 2020 ]




[ 2019 ]


[ 43 ]
Zahra Mohammadi, Gregory J. Reid, and Tracy Shih-lung Huang. Introduction of the mapde algorithm for determination of mappings relating differential equations. In James H. Davenport, Dongming Wang, Manuel Kauers, and Russell J. Bradford, editors, Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, ISSAC 2019, Beijing, China, July 15-18, 2019, pages 331--338. ACM, 2019. [ http ]
@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}
}
[ 42 ]
Zahra Mohammadi, Gregory J. Reid, and Tracy Shih-lung Huang. The lie algebra of vector fields package with applications to mappings of differential equations. In Jürgen Gerhard and Ilias S. Kotsireas, editors, Maple in Mathematics Education and Research - Third Maple Conference, MC 2019, Waterloo, Ontario, Canada, October 15-17, 2019, Proceedings, volume 1125, pages 337--340. Springer, 2019. [ http ]
@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}
}


[ 2018 ]




[ 2017 ]


[ 41 ]
Fei Wang, Greg Reid, and Henry Wolkowicz. Finding maximum rank moment matrices by facial reduction on primal form and douglas-rachford iteration. ACM Commun. Comput. Algebra, 51:35--37, 2017. [ http ]
@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}
}
[ 40 ]
Wenyuan Wu, Greg Reid, and Yong Feng. Computing real witness points of positive dimensional polynomial systems. Theor. Comput. Sci., 681:217--231, 2017. [ http ]
@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}
}
[ 39 ]
Wu, Wenyuan, Chen, Changbo, and Reid, Greg. Penalty function based critical point approach to compute real witness solution points of polynomial systems. In Computer algebra in scientific computing, volume 10490, pages 377--391. Springer, Cham, 2017. [ http ]
@incollection{MR3706577,
 author = {Wu, Wenyuan and Chen, Changbo and Reid, Greg},
 booktitle = {Computer algebra in scientific computing},
 doi = {10.1007/978-3-319-66320-3},
 pages = {377--391},
 publisher = {Springer, Cham},
 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},
 volume = {10490},
 year = {2017}
}
[ 38 ]
Wenyuan Wu, Changbo Chen, and Greg Reid. Penalty function based critical point approach to compute real witness solution points of polynomial systems. In Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, and Evgenii V. Vorozhtsov, editors, Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings, volume 10490, pages 377--391. Springer, 2017. [ http ]
@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}
}
[ 37 ]
Fei Wang, Greg Reid, and Henry Wolkowicz. An sdp-based method for the real radical ideal membership test. In Tudor Jebelean, Viorel Negru, Dana Petcu, Daniela Zaharie, Tetsuo Ida, and Stephen M. Watt, editors, 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2017, Timisoara, Romania, September 21-24, 2017, pages 86--93. IEEE Computer Society, 2017. [ http ]
@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}
}


[ 2016 ]


[ 36 ]
Manuel Kauers, Peter Paule, and Greg Reid. Workshop on symbolic combinatorics and algorithmic differential algebra. ACM Commun. Comput. Algebra, 50:27--34, 2016. [ http ]
@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}
}


[ 2015 ]


[ 35 ]
Greg Reid, Fei Wang, Henry Wolkowicz, and Wenyuan Wu. Facial reduction and SDP methods for systems of polynomial equations. CoRR, abs/1504.00931, 2015. [ http ]
@article{DBLP:journals/corr/ReidWWW15,
 author = {Greg Reid and
Fei Wang and
Henry Wolkowicz and
Wenyuan Wu},
 journal = {CoRR},
 title = {Facial Reduction and {SDP} Methods for Systems of Polynomial Equations},
 url = {http://arxiv.org/abs/1504.00931},
 volume = {abs/1504.00931},
 year = {2015}
}


[ 2014 ]


[ 34 ]
Greg Reid, Fei Wang, and Wenyuan Wu. Geometric involutive bases for positive dimensional polynomial ideals and SDP methods. CoRR, abs/1405.7115, 2014. [ http ]
@article{DBLP:journals/corr/ReidWW14,
 author = {Greg Reid and
Fei Wang and
Wenyuan Wu},
 journal = {CoRR},
 title = {Geometric involutive bases for positive dimensional polynomial ideals
and {SDP} methods},
 url = {http://arxiv.org/abs/1405.7115},
 volume = {abs/1405.7115},
 year = {2014}
}
[ 33 ]
Ian G. Lisle, Tracy Shih-lung Huang, and Gregory J. Reid. Structure of symmetry of PDE: exploiting partially integrated systems. In Lihong Zhi and Stephen M. Watt, editors, Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014, pages 61--69. ACM, 2014. [ http ]
@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}
}
[ 32 ]
Greg Reid, Fei Wang, and Wenyuan Wu. A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods. In Lihong Zhi and Stephen M. Watt, editors, Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014, pages 41--42. ACM, 2014. [ http ]
@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}
}
[ 31 ]
Wenyuan Wu, Greg Reid, and Yong Feng. Numerical and geometric properties of a method for finding points on real solution components. In Lihong Zhi and Stephen M. Watt, editors, Symbolic-Numeric Computation 2014, SNC '14, Shanghai, China, July 28-31, 2014, pages 111--117. ACM, 2014. [ http ]
@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}
}
[ 30 ]
Reid, Greg, Wang, Fei, and Wu, Wenyuan. A note on geometric involutive bases for positive dimensional polynomial ideals and SDP methods. In SNC 2014---Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, pages 41--42. ACM, New York, 2014.
@inproceedings{MR3392712,
 author = {Reid, Greg and Wang, Fei and Wu, Wenyuan},
 booktitle = {S{NC} 2014---{P}roceedings of the 2014 {S}ymposium on
{S}ymbolic-{N}umeric {C}omputation},
 pages = {41--42},
 publisher = {ACM, New York},
 title = {A note on geometric involutive bases for positive dimensional
polynomial ideals and {SDP} methods},
 year = {2014}
}
[ 29 ]
Wu, Wenyuan, Reid, Greg, and Feng, Yong. Numerical and geometric properties of a method for finding points on real solution components. In SNC 2014---Proceedings of the 2014 Symposium on Symbolic-Numeric Computation, pages 111--117. ACM, New York, 2014.
@inproceedings{MR3392723,
 author = {Wu, Wenyuan and Reid, Greg and Feng, Yong},
 booktitle = {S{NC} 2014---{P}roceedings of the 2014 {S}ymposium on
{S}ymbolic-{N}umeric {C}omputation},
 pages = {111--117},
 publisher = {ACM, New York},
 title = {Numerical and geometric properties of a method for finding
points on real solution components},
 year = {2014}
}


[ 2013 ]


[ 28 ]
Xiaolin Qin, Wenyuan Wu, Yong Feng, and Greg Reid. Structural analysis of high-index DAE for process simulation. Int. J. Model. Simul. Sci. Comput., 4:1342008, 2013. [ http ]
@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}
}
[ 27 ]
Wenyuan Wu and Greg Reid. Finding points on real solution components and applications to differential polynomial systems. In Manuel Kauers, editor, International Symposium on Symbolic and Algebraic Computation, ISSAC'13, Boston, MA, USA, June 26-29, 2013, pages 339--346. ACM, 2013. [ http ]
@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}
}


[ 2012 ]




[ 2011 ]




[ 2010 ]




[ 2009 ]


[ 26 ]
Greg Reid and Lihong Zhi. Solving polynomial systems via symbolic-numeric reduction to geometric involutive form. J. Symb. Comput., 44:280--291, 2009. [ http ]
@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}
}
[ 25 ]
Wenyuan Wu, Greg Reid, and Silvana Ilie. Implicit riquier bases for PDAE and their semi-discretizations. J. Symb. Comput., 44:923--941, 2009. [ http ]
@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}
}
[ 24 ]
Wu, Wenyuan, Reid, Greg, and Golubitsky, Oleg. Towards geometric completion of differential systems by points. In Approximate commutative algebra, pages 79--97. SpringerWienNewYork, Vienna, 2009. [ http ]
@incollection{MR2641157,
 author = {Wu, Wenyuan and Reid, Greg and Golubitsky, Oleg},
 booktitle = {Approximate commutative algebra},
 doi = {10.1007/978-3-211-99314-9_3},
 pages = {79--97},
 publisher = {SpringerWienNewYork, Vienna},
 title = {Towards geometric completion of differential systems by
points},
 url = {https://doi.org/10.1007/978-3-211-99314-9_3},
 year = {2009}
}
[ 23 ]
Scott, Robin, Reid, Greg, Wu, Wenyuan, and Zhi, Lihong. Geometric involutive bases and applications to approximate commutative algebra. In Approximate commutative algebra, pages 99--124. SpringerWienNewYork, Vienna, 2009. [ http ]
@incollection{MR2641158,
 author = {Scott, Robin and Reid, Greg and Wu, Wenyuan and Zhi, Lihong},
 booktitle = {Approximate commutative algebra},
 doi = {10.1007/978-3-211-99314-9_4},
 pages = {99--124},
 publisher = {SpringerWienNewYork, Vienna},
 title = {Geometric involutive bases and applications to approximate
commutative algebra},
 url = {https://doi.org/10.1007/978-3-211-99314-9_4},
 year = {2009}
}


[ 2008 ]




[ 2007 ]


[ 22 ]
Marc Moreno Maza, Gregory J. Reid, Robin Scott, and Wenyuan Wu. On approximate triangular decompositions in dimension zero. J. Symb. Comput., 42:693--716, 2007. [ http ]
@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}
}
[ 21 ]
Wu, Wenyuan and Reid, Greg. Symbolic-numeric computation of implicit Requier bases for PDE. In ISSAC 2007, pages 377--385. ACM, New York, 2007. [ http ]
@incollection{MR2402285,
 author = {Wu, Wenyuan and Reid, Greg},
 booktitle = {I{SSAC} 2007},
 doi = {10.1145/1277548.1277599},
 pages = {377--385},
 publisher = {ACM, New York},
 title = {Symbolic-numeric computation of implicit {R}equier bases for
{PDE}},
 url = {https://doi.org/10.1145/1277548.1277599},
 year = {2007}
}
[ 20 ]
Moreno Maza, Marc, Reid, Greg J., Scott, Robin, and Wu, Wenyuan. On approximate linearized triangular decompositions. In Symbolic-numeric computation, pages 279--298. Birkhäuser, Basel, 2007. [ http ]
@incollection{MR2428453,
 author = {Moreno Maza, Marc and Reid, Greg J. and Scott, Robin and Wu,
Wenyuan},
 booktitle = {Symbolic-numeric computation},
 doi = {10.1007/978-3-7643-7984-1_17},
 pages = {279--298},
 publisher = {Birkh\"{a}user, Basel},
 title = {On approximate linearized triangular decompositions},
 url = {https://doi.org/10.1007/978-3-7643-7984-1_17},
 year = {2007}
}
[ 19 ]
Zhou, Wenqin, Jeffrey, David J., and Reid, Greg J. Symbolic computation sequences and numerical analytic geometry applied to multibody dynamical systems. In Symbolic-numeric computation, pages 335--347. Birkhäuser, Basel, 2007. [ http ]
@incollection{MR2428456,
 author = {Zhou, Wenqin and Jeffrey, David J. and Reid, Greg J.},
 booktitle = {Symbolic-numeric computation},
 doi = {10.1007/978-3-7643-7984-1_20},
 pages = {335--347},
 publisher = {Birkh\"{a}user, Basel},
 title = {Symbolic computation sequences and numerical analytic geometry
applied to multibody dynamical systems},
 url = {https://doi.org/10.1007/978-3-7643-7984-1_20},
 year = {2007}
}


[ 2006 ]


[ 18 ]
Ian G. Lisle and Gregory J. Reid. Symmetry classification using noncommutative invariant differential operators. Found. Comput. Math., 6:353--386, 2006. [ http ]
@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}
}
[ 17 ]
Silvana Ilie, Robert M. Corless, and Greg Reid. Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time. Numer. Algorithms, 41:161--171, 2006. [ http ]
@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}
}
[ 16 ]
Wu, Wenyuan and Reid, Greg. Application of numerical algebraic geometry and numerical linear algebra to PDE. In ISSAC 2006, pages 345--352. ACM, New York, 2006. [ http ]
@incollection{MR2289141,
 author = {Wu, Wenyuan and Reid, Greg},
 booktitle = {I{SSAC} 2006},
 doi = {10.1145/1145768.1145824},
 pages = {345--352},
 publisher = {ACM, New York},
 title = {Application of numerical algebraic geometry and numerical
linear algebra to {PDE}},
 url = {https://doi.org/10.1145/1145768.1145824},
 year = {2006}
}


[ 2005 ]


[ 15 ]
Wenqin Zhou, David J. Jeffrey, and Gregory J. Reid. An algebraic method for analyzing open-loop dynamic systems. In Vaidy S. Sunderam, G. Dick van Albada, Peter M. A. Sloot, and Jack J. Dongarra, editors, Computational Science - ICCS 2005, 5th International Conference, Atlanta, GA, USA, May 22-25, 2005, Proceedings, Part III, volume 3516, pages 586--593. Springer, 2005. [ http ]
@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}
}
[ 14 ]
Greg Reid, Jan Verschelde, Allan D. Wittkopf, and Wenyuan Wu. Symbolic-numeric completion of differential systems by homotopy continuation. In Manuel Kauers, editor, Symbolic and Algebraic Computation, International Symposium ISSAC 2005, Beijing, China, July 24-27, 2005, Proceedings, pages 269--276. ACM, 2005. [ http ]
@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}
}


[ 2004 ]


[ 13 ]
Andrea Doeschl, Matt Davison, Henning Rasmussen, and Greg Reid. Assessing cellular automata based models using partial differential equations. Math. Comput. Model., 40:977--994, 2004. [ http ]
@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}
}
[ 12 ]
Gregory J. Reid, Jianliang Tang, Jianping Yu, and Lihong Zhi. Hybrid method for solving new pose estimation equation system. In Hongbo Li, Peter J. Olver, and Gerald Sommer, editors, 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, volume 3519, pages 44--55. Springer, 2004. [ http ]
@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}
}
[ 11 ]
Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Chad Schmitke, and John McPhee. Implicit reduced involutive forms and their application to engineering multibody systems. In Hongbo Li, Peter J. Olver, and Gerald Sommer, editors, 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, volume 3519, pages 31--43. Springer, 2004. [ http ]
@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}
}


[ 2003 ]


[ 10 ]
Gregory J. Reid, Jianliang Tang, and Lihong Zhi. A complete symbolic-numeric linear method for camera pose determination. In J. Rafael Sendra, editor, Symbolic and Algebraic Computation, International Symposium ISSAC 2003, Drexel University, Philadelphia, Pennsylvania, USA, August 3-6, 2003, Proceedings, pages 215--223. ACM, 2003. [ http ]
@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}
}


[ 2002 ]


[ 9 ]
Greg Reid, Chris Smith, and Jan Verschelde. Geometric completion of differential systems using numeric-symbolic continuation. SIGSAM Bull., 36:1--17, 2002. [ http ]
@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}
}


[ 2001 ]




[ 2000 ]


[ 8 ]
Gregory J. Reid and Allan D. Wittkopf. Determination of maximal symmetry groups of classes of differential equations. In Carlo Traverso, editor, Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation, ISSAC 2000, St. Andrews, United Kingdom, August 6-10, 2000, pages 272--280. ACM, 2000. [ http ]
@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}
}


[ 1999 ]


[ 7 ]
C. J. Rust, Gregory J. Reid, and Allan D. Wittkopf. Existence and uniqueness theorems for formal power series solutions of analytic differential systems. In Keith O. Geddes, Bruno Salvy, and Samuel S. Dooley, editors, Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation, ISSAC '99, Vancouver, B.C., Canada, July 29-31, 1999, pages 105--112. ACM, 1999. [ http ]
@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}
}


[ 1998 ]


[ 6 ]
Ian G. Lisle and Gregory J. Reid. Geometry and structure of lie pseudogroups from infinitesimal defining systems. J. Symb. Comput., 26:355--379, 1998. [ http ]
@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}
}
[ 5 ]
Greg Reid and Evangelos E. Milios. Active binaural sound localization. In 9th European Signal Processing Conference, EUSIPCO 1998, Island of Rhodes, Greece, 8-11 September, 1998, pages 1--4. IEEE, 1998. [ http ]
@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}
}


[ 1997 ]


[ 4 ]
C. J. Rust and Gregory J. Reid. Rankings of partial derivatives. In Bruce W. Char, Paul S. Wang, and Wolfgang Küchlin, editors, Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, ISSAC 1997, Maui, Hawaii, USA, July 21-23, 1997, pages 9--16. ACM, 1997. [ http ]
@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}
}


[ 1996 ]




[ 1995 ]


[ 3 ]
Ian G. Lisle, Gregory J. Reid, and A. Boulton. Algorithmic determination of structure of infinite lie pseudogroups of symmetries of pdes. In A. H. M. Levelt, editor, Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC '95, Montreal, Canada, July 10-12, 1995, pages 1--6. ACM, 1995. [ http ]
@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}
}


[ 1994 ]




[ 1993 ]




[ 1992 ]


[ 2 ]
Gregory J. Reid, Ian G. Lisle, A. Boulton, and Allan D. Wittkopf. Algorithmic determination of commutation relations for lie symmetry algebras of pdes. In Paul S. Wang, editor, Proceedings of the 1992 International Symposium on Symbolic and Algebraic Computation, ISSAC '92, Berkeley, CA, USA, July 27-29, 1992, pages 63--68. ACM, 1992. [ http ]
@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}
}


[ 1991 ]


[ 1 ]
Gregory J. Reid and A. Boulton. Reduction of systems of differential equations to standard form and their integration using directed graphs. In Stephen M. Watt, editor, Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, ISSAC '91, Bonn, Germany, July 15-17, 1991, pages 308--312. ACM, 1991. [ http ]
@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}
}


[ 1990 ]




[ 1989 ]




[ 1988 ]




[ 1987 ]




[ 1986 ]




[ 1985 ]




[ 1984 ]




[ 1983 ]




[ 1982 ]




[ 1981 ]




[ 1980 ]




[ 1979 ]