On numerical composition of Taylor-Fourier

Series
Dynamical Systems Working Seminar
Time
Friday, February 1, 2019 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 246
Speaker
Joan Gimeno – BGSMath-UB
Organizer
Jiaqi Yang
A real Taylor-Fourier expression is a Taylor expression whose coefficients are real Fourier series. In this talk we will discuss different numerical methods to compute the composition of two Taylor-Fourier expressions. To this end, we will show some possible implementations and we are going to discuss and show some results in performance. In particular, we are going to cover how the compositon of two Fourier series can be perfomed in logarithmic complexity.