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## CAG Schedule for 2000

January

**12**Michael Monagan, Timing Results of a Maple Implementation of a Modified Version of Brown's GCD Algorithm for GCDs in Z[x,y] and Q(alpha)[x,y]

**19**John Ogilvie and Greg Fee: Evaluation of Franck-Condon Factors with Maple

**26**Keith Geddes: Hybrid Symbolic-Numeric Methods Applied to Definite Integrals and ODEs

**February**

**02**Agnes Szanto: Solving Degenerate Polynomial Systems over C Using an Extension of Characteristic Sets''

**09**Janez Ales: Towards a Sparse Implementation of Revised Simplex.

**16**Edgardo Cheb-Terrab: Tackling Ordinary Differential Equations in Maple Using Symmetry Methods - Part I

**23**Edgardo Cheb-Terrab: Tackling Ordinary Differential Equations in Maple Using Symmetry Methods - Part II

**March**

**01**Allan Wittkopf, ``Sparse GCD Methods/Fast Numerical Computation in Maple''

**08**Greg Fee, ``Quadrature''

**15**Petr Lisonek, ``The Unwinding Number''

**22**Kevin Hare, ``Using Genetic Algorithms to find `nice' Polynomials''

**29**No meeting

**April**

**05**Agnes Szanto, ``Generalization of the Subresultant Method''

**12**No meeting

**19**Rick Leung, ``Groebner Bases'' (directed studies talk)

**26**Colin Percival, ``A Distributed Search for Size 11 Solutions to the Tarry-Escott Problem''

**May**

**03**N. Mohankumar: TANH and IMT Quadratures.

**24**Edgardo Cheb-Terrab and Theodore Kolokolnikov, Solving First Order ODEs using Linear Transformations

**31**Peter Borwein: The Unreasonable Efficacy of Symbolic Computation -or- Imagine if Gauss had Maple.

**June**

**14**Meeting postponed

**28**Andrew Solomon, ``Solving Alientiles with GAP''

**July**

**05**Greg Fee, ``The Smith Normal Form of a Rectangular Matrix and How to Solve Linear Systems over the Integers''

**19 Data Structures and Algorithms for Polynomial GCD Computation**- Michael Monagan: A New Data Structure for Multivariate Polynomial Arithmetic over Z, Q(alpha) and GF(p^k) - Craig Pastro: The Dense Modular GCD Algorithm in Z[x,y,z,...] and Zp[w][x,y,z,...] - Jennifer de Kleine: ``The Sparse Modular GCD Algorithm of Zippel'' - Allan Wittkopf: On the Design and Implementation of Brown's GCD Algorithm over the Integers and Number Fields''

**26 The Simplification Problem**- Jamie Mulholland: The problem of - ``Factorization in Q[s,c]/<s^2+c^2-1> and Simplification of Quotients of Trigonometric Polynomials'' - Hans Bauck: ``A Design for a Simplifier for the Elementary Constants and Functions'' - Petr Lisonek: ``An Implementation of the Unwinding Number K(z) and its Application to the Simplification of Algebraic Formulae Involving Roots and Logarithms'' - Allan Wittkopf: Determination of Maximal Symmetry Groups of Classes of Differential Equations

**September**

**13**- Michael Monagan: "The Greatest GCD is Not Big Enough!"

**26**

**Greatest Common Divisors**- Colin Percival: Fast Integer GCDs - Michael Monagan: The dense modular GCD algorithm over finite fields and number fields. - Jennifer de Kleine: Zippel's sparse modular GCD algorithm over finite fields.

**October**

**10 Differential Equations**- Allan Wittkopf: Recent improvements to Maple's numerical ODE solvers. - Edgardo Cheb-Terrab: An implementation of an algorithmic approach for finding analytic solutions of systems of PDE. - John Ogilvie : Analysis of complicated chemical kinetics with Maple - Imin Chen: How primes ramify in algebraic number fields.

**November**

**07 Cryptography and Simplification Tools**- Greg Fee: Diffie Helman Crytopgrahy using Chebyshev Polynomials - Edgardo Cheb-Terrab: Simplification tools for Maple - Edgardo Cheb-Terrab: Simplification of Algebraic Expressions in Maple

**December**

**05**- Janez Ales: A New Bivariate Factorization Algorithm of Shuhong Gao

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