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Fields Institute Workshop on Hybrid Methodologies for Symbolic-Numeric Computation

November 16-19, 2011
The University of Waterloo, Waterloo, Ontario, Canada

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Tentative Schedule of Talks

Abstracts and titles for all talks can be found here, and the workshop main page here.

Wednesday, November 16, 2011

9:00 – 9:15 Opening
9:15 – 10:00 Erich Kaltofen, North Carolina State University, USA
10:00 – 10:30 Coffee break
10:30 – 11:00 Feng Guo, Chinese Academy of Sciences, Beijing, China and NC State University, USA – Certifying degree lower bounds for the Hilbert-Artin representation of positive semidefinite rational functions
11:00 – 11:30 Bingyu Li, Northeast Normal University, Changchun, China – On the Condition Number of the Total Least Squares Problem
11:30 – 12:00 Stephen Watt, University of Western Ontario, Canada – Approximate polynomials and definite integrals
12:00 – 13:30 Lunch
13:30 – 14:15 Kosaku Nagasaka, Kobe University, Japan – A Symbolic-Numeric Approach to Gröbner Basis with Inexact Input
14:15 – 14:45 Coffee break
14:45 – 17:15 Steve Vavasis, University of Waterloo, Canada – Condition numbers in the solution of polynomial equations

Thursday, November 17, 2011

9:00 – 9:45 Laurent Bernardin, Maplesoft, Canada – Symbolic Computing in Modeling and Simulation
9:50 – 10:15 Katya Vladislavleva, Evolved Analytics, Belgium – Symbolic regression for modeling complex continuous and discrete- continuous systems
10:15 – 10:45 Coffee break
10:45 – 11:30 Annie Cuyt, Universiteit Antwerpen (CMI), Belgium – Sparse Interpolation and Signal Processing
11:30 – 12:00 Maryam Fazel, University of Washington, USA – Strong Conditions for Recovering Low-rank Matrices
12:00 – 13:30 Lunch
13:30 – 14:15 Wen-shin Lee, Universiteit Antwerpen (CMI), Belgium – Multivariate Prony's Method
14:15 – 14:45 Coffee break
14:45 – 17:15 Anton Leykin, Georgia Tech, USA – Numerical Algebraic Geometry
17:30 – 19:00 Reception (DC1301)

Friday, November 18, 2011

9:00 – 9:45 Gilles Villard, ENS Lyon, France – Some numerical considerations for lattice basis reduction
9:50 – 10:15 Dan Steffy, Zuse Institute Berlin, Germany and Oakland University, USA – Exact solutions to mixed-integer linear programming problems
10:15 – 10:45 Coffee break
10:45 – 11:30 Xiao-Wen Chang, McGill University, Canada – Lattice Reduction and Preconditioning
11:35 – 12:00 Daniel S. Roche, US Naval Academy, USA – Stable Sparse Interpolation with Fewer Samples
12:00 – 13:30 Lunch
13:30 – 14:15

Tateaki Sasaki, Tsukuba University, Japan – Approximate Gröbner Bases and Two Applications

14:20 – 14:45 Aurélien Greuet, SALSA Team (INRIA/CNRS/UPMC/LIP6) and Université de Versailles, France – Polar Varieties and Global Optimization Problem
14:45 – 15:15 Coffee break
15:30 – 15:55

Olivier Ruatta, Université de Limoges, France – On two different problems and methods for approximate GCD

16:00 – 16:25 David Jeffrey, University of Western Ontario, Canada – Stieltjes Integrals and Completely Monotonic Functions
16:25 – 16:45 Coffee break
16:45 – 18:00 Panel discussion

Saturday, November 19, 2011

9:00 – 9:45 Hoon Hong, North Carolina State University, USA – Hybrid Method for Solving Bivariate Polynomial System
9:50 – 10:15 Min Wu, East China Normal University, Shanghai, China – Exact Safety Verification of Hybrid Systems via Symbolic-Numeric Method
10:15 – 10:45 Coffee break
10:45 – 11:30

Adam Strzebonski, Wolfram Research, USA – Solving equations and inequalities using validated numeric methods

11:30 – 12:00

Hitoshi Yanami, Fujitsu Laboratories, Japan – A quantifier elimination algorithm based on symbolic-numeric cylindrical algebraic decomposition

12:00 – 13:30 Lunch
13:30 – 14:15 Ken Jackson, University of Toronto, Canada – Validated Methods for Initial Value Problems for Ordinary Differential Equations
14:20 – 15:05 Wayne Hayes, University of California Irvine, USA – Shadowing as a measure of backward error in numerical simulations
15:05 – 15:15 Closing