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LANGUAGE

Maple

INTERPOLATION

(Change major or language)

Major

Chemical

BACKGROUND

What is Interpolation? [PDF] [DOC]

History of Interpolation [PDF] [DOC]

Test your knowledge on background of interpolation [HTML] [PDF] [DOC]

 

PHYSICAL PROBLEM

A physical problem of finding how much time it would take water to boil in a kettle. It requires interpolating specific heat of saturated water vs. temperature data. [PDF] [DOC]

 

NUMERICAL METHOD

DIRECT METHOD

How does the direct method work? [PDF] [DOC]

A Power point presentation [PDF] [PPT]

Simulations of the method [PDF] [MWS]

Test your knowledge of the method [HTML] [PDF] [DOC]

 

NEWTON DIVIDED DIFFERENCE METHOD

How does the Newton's divided difference polynomial method work? [PDF] [DOC]

A Power point presentation [PDF] [PPT]

Simulations of the method [PDF] [MWS]

Test your knowledge of the method [HTML] [PDF] [DOC]

 

LAGRANGE METHOD

How does the Lagrange method work? [PDF] [DOC]

A Power point presentation [PDF] [PPT]

Simulations of the method [PDF] [MWS]

Test your knowledge of the method [HTML] [PDF] [DOC]

 

SPLINE METHOD

How does the spline method work? [PDF] [DOC]

A Power point presentation [PDF] [PPT]

Simulations of the method [PDF] [MWS]

Test your knowledge of the method [HTML] [PDF] [DOC]

 

ANECDOTES

The lurking dangers of extrapolation! [PDF] [DOC] [MWS] [PDF]

Why is higher order interpolation is a bad idea? [PDF] [DOC] [MWS] [PDF]

Comparison of spline and polynomial interpolation. [PDF] [DOC] [MWS] [PDF]

How choice of points of interpolation affects approximations! [PDF] [DOC] [MWS] [PDF]

How splines can help in developing a shorter path for a robot!  [PDF] [DOC] [MWS] [PDF]

Runge [HTML] [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Lagrange [HTML] [PDF] [DOC]

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant 0126793 and 0341468.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.