G. Reid

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Facial Reduction and SDP Methods for Systems of Polynomial Equations pdf

Fei Wang, Wenyuan Wu, Gregory J. Reid, 2015, ArXiv.

Fast differential elimination in C: The CDiffElim environment ? ? This program can be downloaded fro

G. Reid, A. Wittkopf, 2001 .

Differential Elimination–Completion Algorithms for DAE and PDAE

G. Reid, A. Wittkopf, P. Lin, 2001 .

A complete symbolic-numeric linear method for camera pose determination

Lihong Zhi, Jianliang Tang, Gregory J. Reid, 2003, ISSAC '03.

New classes of symmetries for partial differential equations

Gregory J. Reid, G. Bluman, G. Reid, 1988 .

On Approximate Linearized Triangular Decompositions 269 In another paper , On Approximate Triangular Decompositions

M. M. Maza, G. Reid, Wenyuan Wu, 2007 .

On Approximate Linearized Triangular Decompositions

M. M. Maza, G. Reid, Wenyuan Wu, 2007 .

Cartan Structure of Infinite Lie Pseudogroups

Gregory J. Reid, Ian G. Lisle, G. Reid, 2007 .

Nonclassical Reductions of a 3+1-Cubic Nonlinear Schrodinger System

P. Clarkson, G. Reid, E. Mansfield, 1998 .

Implicit Riquier Bases for PDAE and their Discretizations ?

G. Reid, Wenyuan Wu, S. Ilie, 2008 .

Nonclassical Reductions of a 3+1-Cubic Nonlinear Schrodinger System

P. Clarkson, G. Reid, E. Mansfield, 1998 .

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

C. J. Rust, G. Reid, A. Wittkopf, 1999 .

Finding Maximum Rank Moment Matrices by Facial Reduction and Douglas-Rachford Method on Primal Form

H. Wolkowicz, Fei Wang, G. Reid, 2016 .

Computing the generators of the truncated real radical ideal by moment matrices and SDP facial reduction

H. Wolkowicz, G. Reid, Fei Wang, 2016, 1606.00491.

On the numerical solution of three-dimensional boundary value problems by separation of variables

E. Blum, G. Reid, 1988 .

On approximate triangular decompositions in dimension zero

Marc Moreno Maza, Wenyuan Wu, Gregory J. Reid, 2007, J. Symb. Comput..

Finding abstract Lie symmetry algebras of differential equations without integrating determining equations

Gregory J. Reid, G. Reid, 1991, European Journal of Applied Mathematics.

Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution

Gregory J. Reid, G. Reid, 1991, European Journal of Applied Mathematics.

A triangularization algorithm which determines the Lie symmetry algebra of any system of PDEs

G. Reid, G J Reid, 1990 .

Sequences of related linear PDEs

G. Bluman, G. Reid, 1989 .

Reduction of systems of nonlinear partial differential equations to simplified involutive forms

Gregory J. Reid, Allan D. Wittkopf, G. Reid, 1996, European Journal of Applied Mathematics.

Symmetry Classification Using Noncommutative Invariant Differential Operators

Gregory J. Reid, Ian G. Lisle, G. Reid, 2006, Found. Comput. Math..

New Symmetries for Ordinary Differential Equations

G. Bluman, G. Reid, 1988 .

Existence and uniqueness theorems for formal power series solutions of analytic differential systems

Gregory J. Reid, Allan D. Wittkopf, C. J. Rust, 1999, ISSAC '99.

Rankings of partial derivatives

Gregory J. Reid, C. J. Rust, G. Reid, 1997, ISSAC.

Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs

Gregory J. Reid, Ian G. Lisle, Allan D. Wittkopf, 1992, ISSAC '92.

A Point Symmetry Group of a Differential Equation which cannot be Found Using Infinitesimal Methods

G. Reid, A. Wittkopf, D. Weih, 1993 .

Geometry and Structure of Lie Pseudogroups from Infinitesimal Defining Systems

Gregory J. Reid, Ian G. Lisle, G. Reid, 1998, J. Symb. Comput..

Separation of variables for complex Riemannian spaces of constant curvature - I. Orthogonal separable coordinates for Snc and Enc

G. Reid, E. Kalnins, Willard Miller Jr, 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE

Gregory J. Reid, Zahra Mohammadi, Tracy Shih-lung Huang, 2020, Math. Comput. Sci..

Symmetry-Based Algorithms for Invertible Mappings of Polynomially Nonlinear PDE to Linear PDE

S.-L. Tracy Huang, G. Reid, Zahra Mohammadi, 2020, Mathematics in Computer Science.

Extensions of the MapDE algorithm for mappings relating differential equations

Gregory J. Reid, S.-L. Tracy Huang, Zahra. Mohammadi, 2019, 1903.03727.

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

Gregory J. Reid, Zahra Mohammadi, Tracy Shih-lung Huang, 2019, ISSAC.

Structure of symmetry of PDE: exploiting partially integrated systems

Gregory J. Reid, Ian G. Lisle, S.-L. Tracy Huang, 2014, SNC.

Determination of maximal symmetry groups of classes of differential equations

Gregory J. Reid, Allan D. Wittkopf, G. Reid, 2000, ISSAC.

Algorithmic determination of structure of infinite Lie pseudogroups of symmetries of PDEs

Gregory J. Reid, Ian G. Lisle, A. Boulton, 1995, ISSAC '95.

Reduction of systems of differential equations to standard form and their integration using directed graphs

Gregory J. Reid, A. Boulton, G. Reid, 1991, ISSAC '91.

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

Gregory J. Reid, Henry Wolkowicz, Fei Wang, 2017, 2017 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC).

Geometric completion of differential systems using numeric-symbolic continuation

Chris Smith, Gregory J. Reid, Jan Verschelde, 2002, SIGS.

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

Changbo Chen, Wenyuan Wu, Gregory J. Reid, 2017, CASC.

Computing real witness points of positive dimensional polynomial systems

Yong Feng, Wenyuan Wu, Gregory J. Reid, 2017, Theor. Comput. Sci..

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

Yong Feng, Wenyuan Wu, Gregory J. Reid, 2014, SNC.

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

Fei Wang, Wenyuan Wu, Gregory J. Reid, 2014, SNC.

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

Wenyuan Wu, Gregory J. Reid, G. Reid, 2013, ISSAC '13.

Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time

Robert M. Corless, Gregory J. Reid, Silvana Ilie, 2006, Numerical Algorithms.

Assessing cellular automata based models using partial differential equations

Gregory J. Reid, Henning Rasmussen, Matt Davison, 2004, Math. Comput. Model..

Structural analysis of high-index DAE for process simulation

Yong Feng, Wenyuan Wu, Gregory J. Reid, 2012, Int. J. Model. Simul. Sci. Comput..

Application of numerical algebraic geometry and numerical linear algebra to PDE

Wenyuan Wu, Gregory J. Reid, G. Reid, 2006, ISSAC '06.

Symbolic-numeric completion of differential systems by homotopy continuation

Wenyuan Wu, Gregory J. Reid, Jan Verschelde, 2005, ISSAC.

An Algebraic Method for Analyzing Open-Loop Dynamic Systems

Gregory J. Reid, David J. Jeffrey, Wenqin Zhou, 2005, International Conference on Computational Science.

Symbolic Computatio nS equences and Numerical Analytic Geometry Applie dt oM ultibod yD ynamical Systems

G. Reid, D. J. Jeffrey, Wenqin Zhou, 2007 .

Symbolic Preprocessing for the Numerical Simulation of Multibody Dynamic Systems

G. Reid, D. J. Jeffrey, Wenqin Zhou, 2005 .