Taylor Model Methods V

Schedule

Tuesday, May 20

8:30 Breakfast, Registration
Chair: Ken Jackson
9:30 Opening Remarks:
Ken Jackson, Conference Chair and Organizer
Barbara Keyfitz, Director, Fields Institute
Judith Munn, Workshop Program Coordinator
9:45 Martin Berz
Taylor Model Methods - Introduction and Overview
Abstract Talk
10:30 Coffee Break
11:00 Sheldon Newhouse
Numerical and Rigorous Aspects of Low Dimensional Dynamical Systems
Abstract Talk
12:00 Lunch
Chair: Markus Neher
14:00 Johannes Grote
Rigorous Classification of Manifold Tangles and Bounds for Entropy
Abstract Talk
14:30 Yosef Yomdin
Some High-Order Taylor-Model Based Methods for Solving PDEs
Abstract Talk
15:00 Coffee Break
15:30 Gianni Arioli
A Functional Analysis Approach to Computer Assisted Proofs based on Taylor Expansions
Abstract Talk

Wednesday, May 21

Chair: Martin Berz
9:00 Roberto Armellin
Rigorous Global Optimization of Impulsive Planet to Planet Transfers
Abstract Talk
9:45 John Pryce
DAETS: A Differential-Algebraic Equation Code in C++ for High Index and High Accuracy
Abstract Talk
10:30 Coffee Break
11:00 Pierluigi DiLizia
High Order Integration and Sensitivity Analysis of Differential Algebraic Equations using Differential Algebra
Abstract Talk
11:30 Pierluigi DiLizia
Station Keeping around Halo Orbits using Differential Algebra
Abstract Talk
12:00 Lunch
Chair: Kyoko Makino
14:00 Martin Berz
New Algorithms for Efficient Taylor Model Operations Including Arbitrary Precision
Abstract Talk
14:30 Youn-Kyung Kim
A High Order Method for Computations of Rigorous Lower Bounds of Smooth Functions near Local Minimizers
Abstract Talk
15:00 Coffee Break
15:30 Nathalie Revol
Automatic Adaptation of the Computing Precision
Abstract Talk

Thursday, May 22

Chair: Ned Nedialkov
9:00 Markus Neher
On the Blunting Method in Verified Integration of ODEs
Abstract Talk
9:45 Kyoko Makino
Recent Advances in the Rigorous Integration of Flows of ODEs with Taylor Models
Abstract Talk
10:30 Coffee Break
11:00 Alexander Wittig
Computer Assisted Proof of High Period Fixed Points in the Henon Map
Abstract Talk
11:30 Roland Zumkeller
Machine Checkable Correctness Proofs
Abstract Talk
12:00 Lunch
13:00 Excursion (Niagara Falls etc.)

Friday, May 23

Chair: Sheldon Newhouse
9:00 Akitoshi Kawamura
Complexity Theoretic Barriers to Validated Solutions of Initial Value Problems
Abstract Talk
9:30 Abedallah Rababah
Hermite Approximation with High Accuracy for Space Curves in Rd
Abstract Talk
10:30 Coffee Break
11:00 John Pryce
On the Ilie-Corless Polynomial Complexity Proof
Abstract Talk

The missing talks will be added as soon as the speaker hands his slides to me.