By Topic

Orthogonal polynomials, Gaussian quadratures, and PDEs

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
$33 $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

1 Author(s)
Ball, J.S. ; Dept. of Phys., Utah Univ., Salt Lake City, UT, USA

Orthogonal polynomials are important in mathematical analysis. They can be used to separate many partial differential equations (PDES) which makes them particularly important in solving physical problems. Also, Gaussian integration provides a highly accurate and efficient algorithm for integrating functions. The value of the methods I describe in this paper depends on the basic assumption that a finite-order polynomial can effectively approximate a function. Therefore, a finite sum of orthogonal polynomials can accurately represent this function. By using the ideas of Gaussian integration, a function can be integrated or expanded in terms of orthogonal polynomials

Published in:

Computing in Science & Engineering  (Volume:1 ,  Issue: 6 )