2001Journal of China University of Mining and TechnologyRequires access

Numerical Stability of Interpolation Functions of Cobic Spline

Dechang Cao

Open publisher page 1 citations

Abstract

Under unequilong interpolation nodes distribution, the effect of errors of both the boundary conditions and interpolation dates on interpolation functions of cubic spline was discussed. The error estimation formulas were given. And numerical stability of interpolation functions of cubic spline was proved.

About this research paper

What this paper is about

Under unequilong interpolation nodes distribution, the effect of errors of both the boundary conditions and interpolation dates on interpolation functions of cubic spline was discussed. The error estimation formulas were given. And numerical stability of interpolation functions of cubic spline was proved.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Under unequilong interpolation nodes distribution, the effect of errors of both the boundary conditions and interpolation dates on interpolation functions of cubic spline was discussed. The error estimation formulas were given. And numerical stability of interpolation functions of cubic spline was proved.

Key concepts: Spline interpolation, Monotone cubic interpolation, Interpolation (computer graphics), Mathematics, Nearest-neighbor interpolation, Multivariate interpolation, Spline (mechanical), Thin plate spline

Related papers

Back to paper searchBrowse research topicsOriginal source
Numerical Stability of Interpolation Functions of Cobic Spline — Research Paper | ScholarLens