Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

MOOC | MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE


SITE INDEX

INTRODUCTION TO SCIENTIFIC COMPUTING

     Introduction

     Measuring Errors

     Sources of Error

     Binary Representation

     Floating Pt Representation

     Propagation of Errors

     Taylor Theorem Revisited

 

DIFFERENTIATION

     Primer on Differentiation

     Continuous Function

     Discrete Function

 

Nonlinear Equations

    Bisection Method

     Newton-Raphson Method

     Secant Method

 

SIMULTANEOUS LINEAR EQUATIONS

    Gaussian Elimination

     Gauss-Seidel Method

     LU Decomposition

    

Interpolation

    Direct Method

     Newton's Divided Difference Method

     Lagrange Method

     Spline Method

 

REGRESSION

     Linear Regression

     Nonlinear Regression

 

Integration

    Trapezoidal Rule

     Simpson's 1/3rd Rule

     Romberg Integration

     Gauss-Quadrature Rule

     Discrete Data Integration

     Improper Integration

 

ORDINARY DIFFERENTIAL EQUATIONS

    Euler's Method

     Runge-Kutta 2nd Order Method

     Runge-Kutta 4th Order Method

     Finite Difference Method

     Shooting Method

 

Resources

    Resources : Text links, Drop Down Box List

     Comprehensive List of Numerical Methods

     Videos

     Blog

     Background Primers

     Numerical Methods with Applications Textbook

     Introduction to Matrix Algebra Textbook

     Power Point Presentations
     Simulations
     Multiple Choice Questions
     Physical Problems for Numerical Methods

     Search

    

About the website

     FAQs

     About

     Recent News

     Audience

     Awards

     Mission

     Objectives

     People

     Requirements

     Tracks

     Dissemination

     Publications

     Contact

 

 

 

 

 

 


AUDIENCE |  AWARDS  |  PEOPLE  |  TRACKS  |  DISSEMINATION  |  PUBLICATIONS


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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  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.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

ANALYTICS