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).
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Record Link
<a href="http://www.compadre.org/portal/items/detail.cfm?ID=11478">Christian, Wolfgang. "Cubic Spline Model."</a>
AIP Format
W. Christian, Computer Program CUBIC SPLINE MODEL (2011), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442).
AJP/PRST-PER
W. Christian, Computer Program CUBIC SPLINE MODEL (2011), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442>.
APA Format
Christian, W. (2011). Cubic Spline Model [Computer software]. Retrieved September 29, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442
Chicago Format
Christian, Wolfgang. "Cubic Spline Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=11478&DocID=2442 (accessed 29 September 2016).
MLA Format
Christian, Wolfgang. Cubic Spline Model. Computer software. 2011. Java (JRE) 1.5. 29 Sep. 2016 <http://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
EndNote Export Format
%0 Computer Program Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. 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 ChristianKnow of another related resource? Login to relate this resource to it. |
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