By Topic

Walsh spectral analysis for ordinary differential equations. I. Initial value problems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Moulden, T.H. ; Tennessee Univ. Space Inst., Tullahoma, TN, USA ; Scott, M.A.

Walsh spectral analysis is applied to ordinary differential equations. It is shown that the method is directly equivalent to trapezoidal integration for first-order differential equations. This is a consequence of the finite-dimensional integration operator being of lower triangular Toeplitz form. The method is applied to equations with discontinuous forcing functions, and the numerical results are shown to be superior to those given by either Fourier spectral analysis or Runge-Kutta methods

Published in:

Circuits and Systems, IEEE Transactions on  (Volume:35 ,  Issue: 6 )