Site Index - Holistic Numerical Methods Institute - HNMI

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2004 ASME Curriculum Innovation Award

2006 ASEE DELOS Best Paper Award

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Introduction | Differentiation | Nonlinear Eqns | Simul Linear Eqns | Interpolation | Regression | Integration | ODE

SITE INDEX

(EXTENDED SITE INDEX)

INTRODUCTION TO SCIENTIFIC COMPUTING

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

SIMULTANEOUS LINEAR EQUATIONS

Gaussian Elimination

Gauss-Seidel Method

LU Decomposition

Interpolation

Newton's Divided Difference Method

Lagrange Method

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

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

Background Primers

Numerical Methods with Applications Textbook

Introduction to Matrix Algebra Textbook

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

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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 kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624, 0836981. 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. Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License. Based on a work at numericalmethods.eng.usf.edu.