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2004 ASME Curriculum Innovation Award |
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SIMULATIONS |
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Nonlinear Equations |
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Bisection Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Pitfall: Slow convergence of bisection method simulation [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Newton-Raphson Method |
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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] |
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Secant Method |
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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] |
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SIMULTANEOUS LINEAR EQUATIONS |
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Gaussian Elimination |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Gauss-Seidel Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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LU Decomposition |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Interpolation |
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Direct Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Newton's Divided Difference Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Lagrange Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Spline Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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REGRESSION |
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Linear Regression |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Nonlinear Regression |
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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] |
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Adequacy of a Regression Model |
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Adequacy [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Integration |
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Trapezoidal Rule |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Simpson's 1/3rd Rule |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Romberg Rule |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Gauss-Quadrature Rule |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Integrating Discrete Functions |
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Integrating discrete functions [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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ORDINARY DIFFERENTIAL EQUATIONS |
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Euler's Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Runge-Kutta 2nd order Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Runge-Kutta 4th order Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] Convergence [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Shooting Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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Finite Difference Method |
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Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB] |
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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 and 0717624. 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. |
