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The AIMS Conference Series
The scheduling for individual talk is undergoing. If you have any questions please contact your session organizers directly.
Special Session 162: Computer-Assisted Proofs in Dynamical Systems
Organizer(s): Akitoshi Takayasu , Jonathan Jaquette
Parallel Session 3 :: Tuesday, 07/07, 8:00-10:00 Room 618
8:00-8:30
Jonathan Jaquette
(New Jersey Institute of Technology, USA)
Validated matrix multiplication transform for orthogonal polynomials with applications to computer-assisted proofs for PDEs
8:30-9:00
Gonzalo Cao-Labora
(EPFL, Switzerland)
Instability of the 2D Taylor-Green vortex
9:00-9:30
Kaname Matsue
(Institute of Mathematics for Industry / International Institute for Carbon-Neutral Energy Research, Kyushu University, Japan)
Structures Behind Blow-Up: Algebraic-Geometric Perspectives for Computer-Assisted Proofs
9:30-10:00
Taisei Asai
(Yamagata University, Japan)
Rigorous global search of all solution orbits for nonlinear boundary value problems
Parallel Session 4 :: Tuesday, 07/07, 13:30-16:00 Room 618
13:30-14:00
Jordi Lluis Figueras
(Dept Mathematics Uppsala University, Sweden)
On the computation of Tori and their bifurcations
14:00-14:30
Alex Haro
(Universitat de Barcelona & CRM, Spain)
Modified parameterization methods in computer-assisted proofs for KAM theory
14:30-15:00
Renato C Calleja
(IIMAS-UNAM, Mexico)
A Computer-Assisted Proof of Marchal`s Conjecture in the Three-Body Problem
15:00-15:30
Ann Gierzkiewicz
(Jagiellonian University in Krakow, Poland)
An ellipsoidal satellite`s chaotic tumbling model
15:30-16:00
Maximilian Engel
(University of Amsterdam, Netherlands)
Computer-Assisted Proofs in Random Dynamical Systems
Parallel Session 5 :: Tuesday, 07/07, 16:30-19:00 Room 618
16:30-17:00
Florent BREHARD
(CRIStAL, CNRS, Universite de Lille, France)
Validated Numerics Guided by Symbolic Computations: A Hybrid Newton-Puiseux Algorithm
17:00-17:30
Ryoga Iwanami
(Waseda University, Japan)
Efficient implementation of affine arithmetic for rigorous integration of delay differential equations
17:30-18:00
Robert Szczelina
(Jagiellonian University, Poland)
Symbolic dynamics in Pseudospectral projection of Delay Differential Equations
18:00-18:30
Thomas Wanner
(George Mason University, USA)
Computer-assisted bifurcation point validation
18:30-19:00
Akitoshi Takayasu
(University of Tsukuba, Japan)
Multi-stepping scheme for rigorous integration of semilinear parabolic PDEs