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Article
Extension of Chebfun to Periodic Functions
SIAM Journal on Scientific Computing
  • Grady B. Wright, Boise State University
  • Mohsin Javed, Oxford University Mathematical Institute
  • Hadrien Montanelli, Oxford University Mathematical Institute
  • Lloyd N. Trefethen, Oxford University Mathematical Institute
Document Type
Article
Publication Date
1-1-2015
Disciplines
Abstract

Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.

Copyright Statement

First published in SIAM Journal on Scientific Computing in 2015, volume 37, issue 5, published by the Society of Industrial and Applied Mathematics (SIAM). Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.

Citation Information
Grady B. Wright, Mohsin Javed, Hadrien Montanelli and Lloyd N. Trefethen. "Extension of Chebfun to Periodic Functions" SIAM Journal on Scientific Computing (2015)
Available at: http://works.bepress.com/grady_wright/30/