DMBVP for Tension Splines

Boris I. Kvasov ()
Additional contact information
Boris I. Kvasov: Institute of Computational Technologies, Russian Academy of Sciences

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 67-94 from Springer

Abstract: Abstract This paper addresses a new approach in solving the problem of shape preserving spline interpolation. Based on the formulation of the latter problem as a differential multipoint boundary value problem for hyperbolic and biharmonic tension splines we consider its finite-difference approximation. The resulting system of linear equations can be efficiently solved either by direct (Gaussian elimination) and iterative methods (successive over-relaxation (SOR) method and finite-difference schemes in fractional steps). We consider the basic computational aspects and illustrate the main advantages of this original approach.

Keywords: Hyperbolic and biharmonic tension splines; differential multipoint boundary value problem; successive over-relaxation method; finite-difference schemes in fractional steps; shape preserving interpolation (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_3

Ordering information: This item can be ordered from
http://www.springer.com/9781402031977

DOI: 10.1007/1-4020-3197-1_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().