Abstract
Approximating functions in spectral methods are related to polynomial solutions of eigenvalue problems in ordinary differential equations, known as Sturm-Liouville problems. These originate from applying the method of separation of variables in the analysis of boundary-value problems. We outline both basic and remarkable properties of the most commonly used families of polynomials of this kind.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(1992). Special Families of Polynomials. In: Polynomial Approximation of Differential Equations. Lecture Notes in Physics Monographs, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46783-0_1
Download citation
DOI: https://doi.org/10.1007/978-3-540-46783-0_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55230-7
Online ISBN: 978-3-540-46783-0
eBook Packages: Springer Book Archive