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 WORKSHEETS INTRODUCTION TO SCIENTIFIC COMPUTING True Error  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Approximate Error  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB Binary Representation Decimal to binary representation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Binary to decimal representation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Decimal to floating point representation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Binary to floating point representation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Propagation of Errors Propagation of Errors  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Differentiation Forward Divided Difference  [MAPLE]   [MATHCAD]   [MATHEMATICA]  [MATLAB] Backward Divided Difference [MAPLE]   [MATHCAD]   [MATHEMATICA]  [MATLAB] Central Divided Difference [MAPLE]   [MATHCAD]  [MATHEMATICA]   [MATLAB] Continuous functions Second Order Derivative  [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Discrete Data Discrete functions  [MAPLE]  [MATHCAD]   [MATHEMATICA] [MATLAB] Nonlinear Equations Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Slow convergence of bisection method simulation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Newton-Raphson Method Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Division by zero [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Slow Convergence at Inflection Points [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Root jumps over several roots [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Roots oscillates around local maxima and minima [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Simulation of secant method  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence Simulation of secant method  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Division by zero in secant method simulation  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Root jumps over several roots in secant method  [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] SIMULTANEOUS LINEAR EQUATIONS Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Gauss-Seidel Method Method [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Convergence [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] LU Decomposition Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Interpolation Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Newton's Divided Difference Method Method [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Lagrange Method Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Spline Method Method [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] REGRESSION Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Nonlinear Regression Without Data Linearization [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] With Data Linearization [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Polynomial Regression [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Comparing with and without Data Linearization [MAPLE]  [MATHCAD]  [MATHEMATICA]  [MATLAB] Adequacy [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Integration Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Integrating Discrete Functions Integrating discrete functions [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] ORDINARY DIFFERENTIAL EQUATIONS Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Finite Difference Method Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] OPTIMIZATION Method [MAPLE] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHEMATICA] [MATLAB] Method [MAPLE] [MATHEMATICA] [MATLAB] PARTIAL DIFFERENTIAL EQUATIONS Explicit Method [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] Implicit Method Parabolic PDEs [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] Crank Nicolson Method Parabolic PDEs [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] Direct Method [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] Gauss-Seidel Method [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] Lieberman Method [MATLAB] [MAPLE] [MATHEMATICA] [MATHCAD] fast fourier transforms Method [MATLAB] [MATHCAD] [MATHEMATICA] Method [ [MATLAB] [MATHCAD] [MATHEMATICA] Method  [MATLAB] [MATHCAD] [MATHEMATICA]
 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# 0126793, 0341468, 0717624,  0836981, , 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