@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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/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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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} }
@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{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} }
@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} }
@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{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} }
@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} }