Schedule for: 17w5141 - Rigorous Numerics for Infinite Dimensional Nonlinear Dynamics

Beginning on Sunday, May 7 and ending Friday May 12, 2017

All times in Banff, Alberta time, MDT (UTC-6).

Sunday, May 7
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Professional Development Centre)
17:30 - 19:30 Dinner (Vistas Dining Room)
20:00 - 22:00 Informal gathering (Corbett Hall Lounge (CH 2110))
Monday, May 8
07:00 - 08:45 Breakfast (Vistas Dining Room)
08:45 - 09:00 Introduction and Welcome by BIRS Station Manager (TCPL 201)
09:00 - 10:00 Jason D. Mireles James: Parameterization of unstable manifolds for parabolic PDEs (TCPL 202)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:30 Yoshitaka Watanabe: Some computer-assisted proofs for the Navier-Stokes equations (TCPL 201)
11:30 - 12:00 Jonathan Jaquette: Counting and discounting periodic orbits in Wright’s equation (TCPL 201)
12:00 - 13:00 Lunch (Vistas Dining Room)
13:00 - 14:00 Guided Tour of The Banff Centre (Corbett Hall Lounge (CH 2110))
14:00 - 14:20 Group Photo (TCPL Foyer)
14:30 - 15:00 Chris Groothedde: Parametrizing the unstable manifolds of delay equations (TCPL 201)
15:00 - 15:30 Coffee Break (TCPL Foyer)
15:30 - 16:30 Thomas Wanner: Rigorous continuation of equilibria and bifurcation points in the diblock copolymer equation (TCPL 202)
16:30 - 17:30 Discussions (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Tuesday, May 9
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Mitsuhiro Nakao: On the guaranteed error error bounds of a new approximation scheme for parabolic problems (TCPL 202)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:30 Jacek Cyranka: Proof of the heteroclinic connections in the 1D diblock copolymers model + some remarks on rigorous integration of PDEs (TCPL 202)
11:30 - 12:00 Maxime Breden: Computer assisted proof for the Navier-Stokes equations: existence of periodic orbits in a Taylor-Green flow (TCPL 202)
12:00 - 13:30 Lunch (Vistas Dining Room)
13:30 - 14:30 Piotr Zgliczynski: On computer assisted proofs in dynamics in infinite dimensions (TCPL 202)
14:30 - 15:00 Jonathan Wunderlich: Computer-assisted existence proofs for one-dimensional Schrödinger-Poisson systems (TCPL 202)
15:00 - 15:30 Coffee Break (TCPL Foyer)
15:30 - 16:30 Michael Plum: A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain (TCPL 202)
16:30 - 17:30 Discussions (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Wednesday, May 10
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Daniel Wilczak: Chaos in the Kuramoto-Sivashinsky equation and a new algorithm for integration of dissipative systems (TCPL 202)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 10:45 Discussion (identifying future lines of research and important problems to work on) (TCPL 201)
10:45 - 12:00 Break up into groups (TCPL 201)
12:00 - 13:30 Lunch (Vistas Dining Room)
13:30 - 17:30 Free Afternoon (Banff National Park)
17:30 - 19:30 Dinner (Vistas Dining Room)
Thursday, May 11
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Kaori Nagatou: An approach to computer-assisted existence proofs for nonlinear space-time fractional parabolic problems (TCPL 202)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:00 Ray Sheombarsing: Validated computations for semilinear dissipative PDEs (TCPL 202)
11:00 - 11:15 Discussion (identifying future lines of research and important problems to work on) (TCPL 201)
11:15 - 12:00 Break up into groups (TCPL 201)
12:00 - 13:30 Lunch (Vistas Dining Room)
13:30 - 14:30 Xuefeng Liu: Explicit eigenvalue bounds for self-adjoint partial differential operators (TCPL 201)
14:30 - 15:00 Elena Queirolo: Validated continuation for Hopf bifurcations in ODE (TCPL 202)
15:00 - 15:30 Coffee Break (TCPL Foyer)
15:30 - 15:45 Discussion (identifying future lines of research and important problems to work on) (TCPL 201)
15:45 - 17:30 Break up into groups (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Friday, May 12
07:00 - 09:00 Breakfast (Vistas Dining Room)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 12:00 Discussions (TCPL 201)
11:30 - 12:00 Checkout by Noon (Front Desk - Professional Development Centre)
12:00 - 13:30 Lunch from 11:30 to 13:30 (Vistas Dining Room)