Numerical estimation in chaos
speaker: Caroline Wormell (Australian National University)abstract:
Whether for its own merit or to see a larger phenomenon, calculations on specific examples are useful at all stages of mathematical inquiry. In chaotic dynamical systems, however, closed-form or manageable series solutions exist only in rare cases, and it is therefore necessary to numerically approximate or statistically sample from the systems. Rigorous convergence results are often lacking, but to assure the validity of the estimates one may nevertheless wish to quantify the associated errors in some way. Here are some of the topics which will be covered:
1. Distinguishing regular and chaotic dynamics
2. Monte Carlo sampling with a posteriori error estimates
3. Dynamic mode decomposition and other transfer operator approximation methods
timetable:
Tue 13 Dec, 9:30 - 11:00, Aula Dini
Wed 14 Dec, 14:00 - 15:30, Aula Dini
Thu 15 Dec, 9:30 - 11:00, Aula Dini
Fri 16 Dec, 11:30 - 12:30, Aula Dini
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