Approximation Theory and Spectral Methods

5 credits

Introduction to interpolation and approximation of data and functions by polynomials, piecewise polynomials, and trigonometric series. Covers aspects of implementation including FFTs and the chebfun software. Spectral methods for solving differential equations serve as main motivating application, along with other approximation problems. Prerequisite: AMATH 584; MATH 585; AMATH 586; programing experience in either Matlab or Python; or permission of instructor. Offered: A.