Mathwright Interactive Explorations
 

 

Cubic Splines: All in One

by Shomari Mosi

Senior, Alcorn State University

Project WELCOME student participant, Summer, 2001

You might like to press F11 to view the Microworld in Full Screen mode.
Note: This Microworld makes use of Microsoft Access databases. You DO NOT have to have Microsoft Access on your personal computer, but you do have to configure your "data source (ODBC)" to enable buit-in MS Access tools. To do so, go to the configuration page.

Cubic Splines Book Description:

Natural Cubic Splines are used for creating a model that can fill in the holes between data, in effect, approximating a trend. They are therefore useful for making observations and inferences about a pattern existing in the data.

Cubic splines have three basic properties.

  1. They pass through all given data points with a unique one between each set of points.
  2. They are smooth, meaning that at the points where they merge their first and second derivatives are equal.
  3. And finally, since this book deals with natural splines, the second derivative at the two endpoints is always zero.

This project was developed as a requirement for Numerical Methods course during fall 2001 (Instructor Dr. Ravinder Kumar). This interactive module provides an effective tool for interpolating a data set using the method of cubic splines.

Scroll down to enter this 6-page Microworld.



 

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