Computational Algebra Group at SFU
Preprints
 2005 
Keld Bak, Stephan Sauer, Jens Oddershede, and John Ogilvie.
The vibrational gfactor of dihydrogen from theoretical calculation
and analysis of vibrationalrotational spectr.
May 2005
[ PDF ]
Jeffrey B. Farr and Roman Pearce
Working with Multivariate Polynomials in Maple.
May 2005
[ PDF ]
[ PostScript ]
S. Lo, M. Monagan, A. Wittkopf
A Modular Algorithm for Computing the Characteristic Polynomial
of an Integer Matrix in Maple.
May 2005
[ PDF ]
[ PostScript ]
[ LaTeX ]
Maple code for computing strongly connected components:
[ txt ]
The 72 by 72 matrix in Maple input format:
[ txt ]
The 364 by 364 matrix in Maple input format:
[ txt ]
The 1916 by 1916 matrix in Maple input format:
[ txt ]
M. Ebrahimi, and M. Monagan
New options to visualize systems of differential equations in Maple.
May 2005
[ PDF ]
[ PostScript ]
J. Farr, M. Khatirinejad, S. Khodadad, M. Monagan
A Graph Theory Package for Maple.
May 2005
[ PDF ]
[ PostScript ]
Michael Monagan
Probabilistic Algorithms for Resultants
May 2005
[ PDF ]
[ PostScript ]
Ha Le, Ziming Li
On a Set of Hyperexponential Elements and Fast Versions of Zeilberger's Algorithm.
January 2005
[ PDF ]
[ PostScript ]
J. de Kleine, M. Monagan, A. Wittkopf
Algorithms for the NonMonic Case of the Sparse Modular GCD Algorithm.
January 2005
[ PDF ]
[ PostScript ]
 2004 
J. F. Ogilvie.
Teaching and Doing Mathematics with Symbolic Computation.
2004 [ PDF ]
J. van Stralen, L. Viischer and J. Ogilvie.
Theoretical and experminental evaluation of hte radial function for
the electric dipole moment of hydrogen iodide.
May 2004
[ PDF ]
J. de Kleine, M. Monagan, A. Wittkopf
The NonMonic Case in the Sparse Modular GCD Algorithm.
May 2004
[ PDF ]
[ PostScript ]
M. Monagan, R. Pearce
The PolynomialIdeals Maple Package.
May 2004
[ PDF ]
[ PostScript ]
Michael Monagan, Greg Fee
A Cryptographically Secure Random Number Generator for Maple
January 2003, July 2004
[ PostScript ]
[ PDF ]
E. ChebTerrab
Solutions for the General, Confluent and Biconfluent Heun equations
and their connection with Abel equations.
April 2004 (to the Journal of Physics A: Mathematical and General)
[ PDF ]
E. ChebTerrab
A connection between Abel and pFq hypergeometric differential equations.
Feburary 2004 (to the European Journal of Applied Mathematics)
[ PDF ]
[ PostScript ]
L. Chan, E. ChebTerrab
NonLiouvillian solutions for second order linear ODEs.
January 2004
[ PDF ]
[ PostScript ]
Jeffrey B. Farr and Shuhong Gau
Computing Groebner Bases for Vanishing Ideals of Finite Sets of Points.
January 2004
[ PDF ]
[ PostScript ]
A. D. Roche
A solution algorithm for the Abel Inverse Riccati ODE
January 2004
[ DVI ]
[ PostScript ]
M. van Hoeij, M. B. Monagan
Algorithms for Polynomial GCD Computation over Algebraic Function Fields.
January 2004
[ DVI ]
[ PostScript ]
[ Maple Worksheet ]
 2003 
M. B. Monagan
Maximal Quotient Rational Reconstruction:
An Almost Optimal Algorithm for Rational Reconstruction.
November 2003
[ DVI ]
[ PostScript ]
J. Borwein, R. Crandall, G. Fee
On the Ramanujan AGM fraction.
June 2003
[ PDF ]
[ PostScript ]
M. B. Monagan, S. C. Tse and A. D. Wittkopf
A Modular Resultant Algorithm for Number Fields.
January 2003
[ DVI ]
[ PostScript ]
Greg Fee and Michael Monagan
Cryptography using Chebyshev Polynomials.
January 2003
[ PostScript ]
[ PDF ]
 2002 
Peter Borwein, Kevin G. Hare and Alan Meichsner
Reverse Symbolic Computations: The IDENTIFY Function
July 2002 (MSW '02)
[ PostScript ]
Jennifer de Kleine and Michael Monagan
A Modular Method for Computing Groebner Bases
July 2002
[ PostScript ]
Kevin G. Hare
Some Applications of the LLL Algorithm
July 2002
[ PostScript ]
G. J. Fee
Linear LeastSquares Data Fitting with Orthogonal Polynomials
July 2002
[ PostScript ]
Frank Wang and John F. Oglivie
Application of Maple to Lagrangian Mechanics
July 2002
[ PostScript ]
M.B. Monagan, S.C. Tse, and A.D. Wittkopf
Modular Algorithms for Resultants.
July 2002
[ PostScript ]
Edgardo ChebTerrab
The Function Wizard Project:
Computer Algebra Handbook of Special Functions.
July 2002
[ PostScript ]
Edgardo ChebTerrab
ODE trends in computer algebra: Four linear and nonlinear challenges.
July 2002
[ PostScript ]
Michael Monagan
2D and 3D Graphics Routines for Teaching Linear Algebra.
March 2002
[ PostScript ]
[ DVI ]
Mark van Hoeij and Michael Monagan
A Modular GCD Algorithm over Number Fields Presented with Multiple Extensions.
January 2002
[ PostScript ]
[ DVI ]
 2001 
Jennifer de Kleine and Michael Monagan
A Modular Design and Implementation of Buchberger's Algorithm.
November 2001
[ PostScript ]
Jamie Mulholland and Michael Monagan
Algorithms for Trigonometric Polynomials.
April 2001
[ PostScript ]
[ DVI ]
Jonathan M. Borwein and Peter B. Borwein,
Challenges in Mathematical Computing,
February 2001
[ PostScript ]
[ PDF ]
Peter Borwein and Kevin G. Hare,
Nontrivial quadratic approximation to zero of a family of cubic Pisot numbers.
February 2001
[ PostScript ]
[ PDF ]
Peter Borwein and Kevin G. Hare,
General forms for minimal spectral values for a class of quadratic Pisot numbers.
February 2001
[ PostScript ]
[ PDF ]
Erich Kaltofen, Michael Monagan, Allan Wittkopf
On the Modular Polynomial GCD Algorithm over the Integers,
Finite Fields, and Number Fields.
January 2001
[ PostScript ]
[ DVI ]
 2000 
E. ChebTerrab
Algorithms for Computing Exact Solutions for Ordinary and Partial
Differential Equations,
November 2000 MITACS Research Report
[ PostScript ]
Michael Monagan, Petr Lisonek, Hans Bauck,
Simplification of Algebraic Expressions,
November 2000 MITACS Research Report
[ PostScript ]
Michael Monagan, Jamie Mulholland, Petr Lisonek
Theory and Algorithms for Trigonometric Polynomials,
November 2000 MITACS Research Report
[ PostScript ]
M. Monagan, J. Ales, J. de Kleine, C. Pastro, A. Wittkop,
Data Structures and Algorithms for Polynomials,
November 2000 MITACS Research Report
[ PostScript ]
Peter Borwein and Kevin G. Hare,
Some Computations on Pisot and Salem Numbers,
September 2000
[ PostScript ]
[ PDF ]
Peter Borwein and Loki Jorgenson,
Visible Structures in Number theory
[ PostScript ]
[ PDF ]
C. Percival,
Rapid Multiplication Modulo the Sum and Difference of Highly
Composite Numbers.
[ PostScript ]
J. Mullholland and M. Monagan,
Algorithms for Trigonometric Polynomials.
[ PostScript ]
[ DVI ]
G. J. Reid and A. D. Wittkopf,
Determination of Maximal Symmetry Groups of Classes of Differential
Equations.
January 2000
[ PostScript ]
M. Monagan and A. Wittkopf,
On the Design and Implementation of Brown's Algorithm over the Integers
and Number Fields.
January 2000
[ DVI ]
[ PostScript ]
P. Lisonek and R. Israel,
Metric Invariants of Tetrahedra via Polynomial Elimination.
January 2000
[ DVI ]
[ PostScript ]
E. S. ChebTerrab and A. D. Roche,
An Abel ODE Class Generalizing Known Integrable Classes.
[ DVI ]
[ PostScript ]
E. S. ChebTerrab and T. Kolokolnikov,
Solving First Order ODEs using Linear Transformations.
[ PostScript ]
E. S. ChebTerrab and A. D. Roche,
Abel ODEs: Equivalence and Integrable Classes.
[ DVI ]
[ PostScript ]
 Before 2000 
K. Hare,
Rapid Computation of Bernoulli and Related Numbers.
(ISSAC '99, poster session)
[ PostScript (abstract)

PostScript (poster) ]
G. Fee,
GaussLegendre Quadrature.
(ISSAC '99, poster session)
[ PostScript (abstract)

PostScript (poster) ]
K. Hare,
Some Applications of the LLL Algorithm.
[ PostScript ]
M. B. Monagan and M. A. Slawinski,
The Sensitivity of Traveltime Inversion
for an Anisotropic Parameter in Seismology.
[ PostScript ]
M. B. Monagan and J. F. Ogilvie,
The Diatomic Anharmonic Oscillator according to Matrix Mechanics.
Mathematics and Computers in Simulation 49 (1999), 221234.
[ PostScript ]
J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek,
Combinatorial Aspects of Multiple Zeta Values.
The Electronic Journal of Combinatorics 5(1) (1998), R38.
[ DVI  PostScript ]
J. M. Borwein, D. M. Bradley, D. J. Broadhurst and P. Lisonek,
Special Values of Multiple Polylogarithms.
Transactions of the American Mathematical Society (in print).
[ DVI  PostScript ]
J. M. Borwein and P. Lisonek,
Applications of Integer Relation Algorithms.
Discrete Mathematics 217 (2000), 6582.
[ DVI  PostScript ]
J. M. Borwein, P. Lisonek and J. A. Macdonald,
ArithmeticGeometric Means Revisited.
MapleTech 4 (1997),
2027.
[ DVI  PostScript ]
E. Kaltofen and M. Monagan,
On the Genericity of the Modular Polynomial GCD Algorithm.
January 1999 (to ISSAC '99)
[ DVI 
PostScript ]
D. Villard and M. B. Monagan,
Automatic Differentiation: An Implementation in Maple.
(ISSAC '98, poster session)
[ DVI  PostScript ]
M. B. Monagan and G. M. Monagan,
A Toolbox for Program Manipulation and Efficient Code Generation
with an Application to a Problem in Computer Vision.
January 1997 (to ISSAC '97)
[ DVI  PostScript ]
M. Monagan and R. Margot,
On Computing Univariate GCDs over Number Fields.
June 1997 (to SODA '98)
CECM Preprint 96:066
[ DVI  PostScript ]
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