Holistic Numerical Methods

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LANGUAGE

Mathematica

INTERPOLATION

(Change major or language)

Major

Computer

BACKGROUND

Pre-Requisites for Interpolation [PDF] [DOC]

Objectives of Interpolation [PDF] [DOC]

What is Interpolation? [PDF] [DOC]

History of Interpolation [PDF] [DOC]

Test Your Knowledge on Background of Interpolation  [HTML] [FLASH] [PDF] [DOC]

PHYSICAL PROBLEM

The upward velocity of a rocket is given as a function of time. To find the velocity of the rocket at some other time, the problem requires interpolation. [PDF] [DOC]

 

NUMERICAL METHOD

DIRECT METHOD

Pre-Requisites for Direct Method of Interpolation [PDF] [DOC]

Objectives of Direct Method of Interpolation [PDF] [DOC]

How does the Direct Method Work? [PDF] [DOC]

Linear Interpolation [YOUTUBE 8:53]

Quadratic Interpolation [YOUTUBE 8:17]

Cubic Interpolation - Part 1 of 2 [YOUTUBE 9:37] 

Cubic Interpolation - Part 2 of 2 [YOUTUBE 7:51]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [NB]

Test Your Knowledge of the Direct Method [HTML] [PDF] [DOC]

 

NEWTON DIVIDED DIFFERENCE METHOD

Pre-Requisites for Newton's Divided Difference Polynomial Method [PDF] [DOC]

Objectives of Newton's Divided Difference Polynomial Method [PDF] [DOC]

How does the Newton's divided Difference Polynomial Method Work? [PDF] [DOC]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [NB]

Test Your Knowledge of the Method [[HTML] [FLASH] [PDF] [DOC]

 

LAGRANGE METHOD

Pre-Requisites for Lagrange Method [PDF] [DOC]

Objectives of Lagrange Method [PDF] [DOC]

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

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [NB]

Test Your Knowledge of the Lagrange Method [HTML] [FLASH] [PDF] [DOC]

 

SPLINE METHOD

Pre-Requisites for Spline Method of Interpolation [PDF] [DOC]

Objectives of Spline Method of Interpolation [PDF] [DOC]

How does the Spline Method Work? [PDF] [DOC]

Linear Spline Interpolation: Theory [YOUTUBE 7:56]

Linear Spline Interpolation: Example [YOUTUBE 5:27]

Quadratic Spline Theory: Part 1 of 2 [YOUTUBE 9:49]

Quadratic Spline Theory: Part 2 of 2 [YOUTUBE 5:27]

Quadratic Spline Interpolation: Example: Part 1 of 2 [YOUTUBE 10:48]

Quadratic Spline Interpolation: Example: Part 2 of 2 [YOUTUBE 7:05]

A Power Point Presentation [PDF] [PPT]

Worksheets of the Method [PDF] [NB]

Test Your Knowledge of the Spline Method of Interpolation [HTML] [FLASH] [PDF] [DOC]

 

ANECDOTES

The Lurking Dangers of Extrapolation! [PDF] [DOC] [NB] [PDF]

Why is Higher Order Interpolation is a Bad Idea? [PDF] [DOC] [NB] [PDF]

Comparison of Spline and Polynomial Interpolation. [PDF] [DOC] [NB] [PDF]

How Choice of Points of Interpolation Affects Approximations! [PDF] [DOC] [NB] [PDF]

How Splines Can Help in Developing a Shorter Path for a Robot!  [PDF] [DOC] [NB] [PDF]

Runge [HTML] [PDF] [DOC]

Newton [HTML] [PDF] [DOC]

Lagrange [HTML] [PDF] [DOC]
 

 

 

 

 

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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact mathforcollege@yahoo.com.   This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  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 Mathematica, MathCAD, USF, FAMU and MSOE.  Based on a work at http://nm.mathforcollege.com.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

ANALYTICS