Graduate Student Seminar: Revisiting the 100-Digit Challenge - Problem 1: Integrating a Rapidly Oscillating Function, SPEAKER: Bernat Guillen

Graduate Student Seminars
  • Bernat Guillen
  • Revisiting the 100-Digit Challenge -- Problem 1: Integrating a Rapidly Oscillating Function
May 1, 2018
12:30 pm
Fine Hall 214

Title:  Revisiting the 100-Digit Challenge -- Problem 1: Integrating a Rapidly Oscillating Function

Abstract:  In 2002, Professor Nick Trefethen of Oxford University posed 10 problems to be solved to 10 digits of precision each (hence 100-digit challenge). The solutions to these problems brought up many interesting and diverse techniques and challenges in numerical analysis, computational science and experimental mathematics. In this talk I want to discuss problem 1 and present the winning methods to solve it, which I have chosen because it is the first of the list. The format will be collaborative, and I will type in ideas into a Jupyter/Mathematica notebook. So feel free to read the book (can be found in SIAM website) but if you do, please no spoilers!

The integral to solve with 10 digits of precision is:.