A O(h) cubic spline collocation method for quasilinear parabolic equation
By: [by] D. A. Archer
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1974
Place of publication: Monterey, Calif
Language: eng
Number of pages: 35
Subjects: Parabolic Differential equations; Spline theory
Description: A modified version of the usual cubic spline collocation method is proposed and analyzed for quasilinear parabolic problems.  Continuous time estimates of order O(h) are obtained, via arguments based on certain discrete inner-products for a uniform mesh and sufficiently smooth problems.  Two types of collocation at the boundary are studied and shown to yield O(h) and O(h^(7/2)) rates of convergence.
Notes: Title from cover.

"Prepared for: Naval Postgraduate School, Monterey, California 93940"--Cover.

"December 1974"--Cover.

"NPS-53Ac74121"--Cover.

Technical report for period September 1974-December 1974.

Author(s) subject terms: Collocation, cubic spline, parabolic equations.

Includes bibliographical references (p. 31-33)

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1974.