loading page

On the Stability and Accuracy of Clenshaw-Curtis Collocation
  • Ahmad Bani Younes,
  • Ahmed Atallah
Ahmad Bani Younes
San Diego State University

Corresponding Author:[email protected]

Author Profile
Ahmed Atallah
University of California San Diego Department of Mechanical and Aerospace Engineering
Author Profile

Abstract

We study the A-stability and accuracy characteristics of Clenshaw-Curtis collocation and present closed-form expressions to evaluate the Runge-Kutta coefficients of these methods. The stability study proves that these methods are A-stable up to a high number of nodes. High accuracy is another benefit of these methods; numerical experiments demonstrate that they can match the accuracy of the Gauss-Legendre collocation, which has the optimal accuracy order of all Runge-Kutta methods.