The Ontario Research Centre for Computer Algebra 

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ORCCA Technical Report Titles

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TR-00-01
Approximate Polynomial Decomposition
Robert Corless, Mark Giesbrecht, David Jeffrey and Stephen Watt
TR-00-02
Efficient Decomposition of Separable Algebras
Wayne Eberly and Mark Giesbrecht
TR-00-03
Numerical implicitization of parametric hypersurfaces with linear algebra
Robert Corless, Mark Giesbrecht, Ilias Kotsireas and Stephen Watt
TR-00-04
Computing Rational Forms of Integer Matrices
Mark Giesbrecht and Arne Storjohann
TR-00-05
Variable Order Adams Codes

Lawrence Shampine
TR-00-06
Fast Differential Elimination Algorithms
Allan Wittkopf and Greg Reid
TR-00-07
Existence and Uniqueness Theorems for Formal Power Series Solutions of Analytic Differential Systems
Colin John Rust, Greg Reid and Allan Wittkopf
TR-00-08
Symmetry Classification Using Invariant Moving Frames
Ian Lisle and Greg Reid
TR-00-09
Iterated Improvement using the SVD for Singular Linear Systems
Robert Corless and Josef Schicho
TR-00-10
An Elementary Solution of a Minimax Problem Arising in Algorithms for Automatic Mesh Selection
Robert Corless
TR-00-11
Determination of Maximal Symmetry Groups of Classes of Differential
Equations Greg Reid and Allan Wittkopf
TR-00-12
On the Wright $\omega$ function
Robert Corless and David Jeffrey
TR-00-13
Characterizing Lie Systems by their infinitesimal symmetries
Greg Reid, Ian Lisle and Alan Boulton
TR-00-14
Software Tools for Mathematical Communication (Success Stories)
Robert Corless
TR-00-15
Computation of Center Manifolds
Robert Corless, Keith Geddes, and Xianping Liu
TR-00-16
Some applications of the Lambert W function to physics

Sree Ram Valluri, David Jeffrey, Robert Corless
TR-00-17
According to Abramowitz and Stegun, or, Arccoth needn't be Uncouth
Robert Corless, James Davenport, David  Jeffrey, Stephen Watt
TR-00-18
Reasoning about the elementary functions of complex analysis. AISC conference Madrid 2000
Robert Corless, James Davenport, David Jeffrey, Gurjeet Litt, Stephen Watt
TR-00-19
Integer roots for integer-power-content calculations
David Jeffrey, Mark Giesbrecht, Robert Corless
TR-00-20
Robert Corless and David Jeffrey
Still More Fun Results on the Lambert W function
TR-00-21
Symbolic-Numeric Algorithms for Polynomials
Robert Corless
TR-00-22
HIV and Antiviral Therapy
Robert Corless
TR-00-23
Homotopy and and polynomial system solving
Ilias. Kotsireas
TR-00-24
Content-Faithful Stylesheets for MathML
Igor Rodionov, Stephen Watt
TR-01-01
Variable Order Adams Codes (substantially revised version of TR-00-05)
Lawrence Shampine
TR-01-02
A BVP Solver based on Residual Control and the Matlab PSE
Jacek Kierzenka and Lawrence Shampine
TR-01-03
Alternative Ways of Solving Polynomial Systems
Ilias Kotsireas and Gregory Reid
TR-01-04
Low-frequency Farley-Buneman Waves in a non-uniform medium
Josef Drexler
TR-01-05
A New View of the computational complexity of IVP for ODE
Robert Corless
TR-01-06
Efficient topology determination of implicitly defined algebraic plane curves
Laureano Gonzalez-Vega and Ioana Necula
TR-01-07
Algebraic-Geometric Methods for the Manipulation of Curves and Surfaces
Laureano Gonzalez-Vega and J. Rafael Sendra
TR-01-08
Closures of branch cuts for elementary functions in Maple 7
Robert Corless
TR-02-01
On the Support of the Implicit Equation of Rational Parametric Hypersurfaces
Ioannis Z. Emiris and Ilias S. Kotsireas
TR-03-01
Improved algorithms for computing determinants and resultants
Ioannis Z. Emiris and Victor Y. Pan
TR-03-02
Non-Commutative Grobner Bases in Poincare-Birkhoff-Witt Extensions
Mark Giesbrecht, Greg Reid and Yang Zhang
TR-03-03
Non-commutative Riquier Theory in Moving Frames of Differential Operators
Francois Lemaire, Greg Reid and Yang Zhang
TR-03-04
Determination of approximate symmetries of differential equations
Joe Bonasia, Francois Lemaire, Greg Reid and Lihong Zhi
TR-04-01
Polynomial Algebra by Values
Amirhossein Amiraslani, Robert M. Corless, Laureano Gonzalez-Vega and Azar Shakoori
TR-04-02
Algebraic Properties of the Lambert W function, from a result of Rosenlicht and of Liouville
Manuel Bronstein, Robert M. Corless, James H. Davenport, and D.J.Jeffrey
TR-04-03
Computer Algebra Support for the Wright omega function
Robert M. Corless and D.J.Jeffrey
TR-04-04
Complex Numerical Values for the Wright omega function
Robert M. Corless and D.J.Jeffrey
TR-05-01
An Interface for Mathematical Notation Selection
Elena Smirnova and Stephen M. Watt
TR-05-02
Solving Some Delay Differential Equations Using Computer Algebra
Jane M. Heffernan and Robert M. Corless
TR-05-03
Quasipolynomial root-finding: A numerical homotopy method
Ashley B. Pitcher and Robert M. Corless
TR-05-04
Quasipolynomial root-finding and applications (POSTER)
Ashley B. Pitcher and Robert M. Corless
TR-05-05
Symbolic Generation of Finite Differences
Robert M. Corless (joint work with Jichao Zhao)
TR-05-06
Polynomial Cost for Solving IVP for High-Index DAE
Robert M. Corless and Silvana Ilie
TR-06-02
What's nu about the derivative? (Reprise)
Robert M. Corless
TR-06-03
The Nearest Polynomial with Lower Degree
Robert M. Corless and Nargol Rezvani, submitted June 30, 2006
TR-06-04
Survey on Methods for Mathematical Expression Analysis in Arabic Handwriting
Elena Smirnova and Stephen M. Watt
TR-06-05
A pen-based mathematical environment Mathink
Elena Smirnova and Stephen M. Watt
TR-06-06
Combining Prediction and Recognition to Improve On-Line Mathematical Character Recognition
Elena Smirnova and Stephen M. Watt
TR-07-01
A Case Study of Elliptic Functions in a CAS: Jeffery-Hamel Flow in Maple
Robert M. Corless and Dawit Assefa, submitted January 22, 2007
TR-07-02
Geometric Applications of the Bezout Matrix in the Bivariate Tensor-Product Lagrange basis
Dhavide Aruliah, Robert M. Corless, Laureano Gonzalez-Vega, and Azar Shakoori, submitted January 24, 2007
TR-07-03
The solution of W exp W = A is not always LambertW(A)
Robert M. Corless, Hui Ding, and David Jeffrey submitted January 24, 2007, revised January 25, 2007.

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