Computational Algebra Group at SFU
Preprints
--------------- 2005 ---------------
Keld Bak, Stephan Sauer, Jens Oddershede, and John Ogilvie.
The vibrational g-factor of dihydrogen from theoretical calculation
and analysis of vibrational-rotational 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 Non-Monic 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 Non-Monic 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. Cheb-Terrab
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. Cheb-Terrab
A connection between Abel and pFq hypergeometric differential equations.
Feburary 2004 (to the European Journal of Applied Mathematics)
[ PDF ]
[ PostScript ]
L. Chan, E. Cheb-Terrab
Non-Liouvillian 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 Least-Squares 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 Cheb-Terrab
The Function Wizard Project:
Computer Algebra Handbook of Special Functions.
July 2002
[ PostScript ]
Edgardo Cheb-Terrab
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,
Non-trivial 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. Cheb-Terrab
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. Cheb-Terrab and A. D. Roche,
An Abel ODE Class Generalizing Known Integrable Classes.
[ DVI ]
[ PostScript ]
E. S. Cheb-Terrab and T. Kolokolnikov,
Solving First Order ODEs using Linear Transformations.
[ PostScript ]
E. S. Cheb-Terrab 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,
Gauss-Legendre 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), 221-234.
[ 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), 65-82.
[ DVI | PostScript ]
J. M. Borwein, P. Lisonek and J. A. Macdonald,
Arithmetic-Geometric Means Revisited.
MapleTech 4 (1997),
20-27.
[ 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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