APS Excellence in Physics Education Award
November 2019

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Science SPORE Prize
November 2011

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The Open Source Physics Project is supported by NSF DUE-0442581.

Computer Program Detail Page

Item Picture
Cubic Spline Model
written by Wolfgang Christian
The Cubic Spline Model displays a cubic spline and its derivatives.  The model constructs N third-order piecewise continuous polynomialz (cubic splines) that connect N data points (nodes) with unit separation.  Polynomial coefficients are chosen such that the resulting curve and its first derivative are smooth at the nodes.
Users can drag the nodes and observe the resulting curve. Radio buttons display first and second derivative curves.  Note that the second derivative curve consists of line segments because the second derivative of a piecewise cubic polynomial is a piecewise first order polynomial.

The Cubic Spline Model was created using the Easy Java Simulations (EJS) modeling tool.  It is distributed as a ready-to-run (compiled) Java archive.  Double click the ejs_math_CubicSplineDemo.jar file to run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java (JRE).
1 source code document is available
Subjects Levels Resource Types
Mathematical Tools
- Algebra
- Calculus
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Wolfgang Christian
Record Cloner:
Metadata instance created September 17, 2011 by Wolfgang Christian
Record Updated:
June 3, 2014 by Andreu Glasmann
Last Update
when Cataloged:
September 17, 2011
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
W. Christian, Computer Program CUBIC SPLINE MODEL (2011), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442).
W. Christian, Computer Program CUBIC SPLINE MODEL (2011), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442>.
APA Format
Christian, W. (2011). Cubic Spline Model [Computer software]. Retrieved October 3, 2022, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442
Chicago Format
Christian, Wolfgang. "Cubic Spline Model." https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442 (accessed 3 October 2022).
MLA Format
Christian, Wolfgang. Cubic Spline Model. Computer software. 2011. Java (JRE) 1.5. 3 Oct. 2022 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Cubic Spline Model}, Month = {September}, Year = {2011} }
Refer Export Format

%A Wolfgang Christian %T Cubic Spline Model %D September 17, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442 %O application/java

EndNote Export Format

%0 Computer Program %A Christian, Wolfgang %D September 17, 2011 %T Cubic Spline Model %8 September 17, 2011 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442

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Cubic Spline Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Cubic Spline Model.

relation by Wolfgang Christian

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