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WORKSHEETS IN MATLAB |
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INTRODUCTION TO SCIENTIFIC COMPUTING |
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Measuring Errors |
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True Error
[MATLAB]
Approximate Error
[MATLAB]
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Binary Representation |
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Decimal to binary representation
[MATLAB]
Binary to decimal representation
[MATLAB]
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Measuring Errors |
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Decimal to floating point
representation
[MATLAB]
Binary to floating point
representation
[MATLAB]
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Propagation of Errors |
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Propagation of Errors
[MATLAB]
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Differentiation |
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Continuous Functions |
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Forward Divided
Difference
[MATLAB]
Backward
Divided Difference
[MATLAB]
Central Divided
Difference
[MATLAB]
Continuous
functions Second Order Derivative
[MATLAB]
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Discrete Data |
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Discrete
functions
[MATLAB] |
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Nonlinear Equations |
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Bisection Method |
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Method
[MATLAB]
Convergence
[MATLAB]
Pitfall: Slow convergence of bisection
method simulation
[MATLAB]
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Newton-Raphson Method |
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Method
[MATLAB]
Convergence
[MATLAB]
Pitfall: Division by zero
[MATLAB]
Pitfall: Slow Convergence at
Inflection Points [MATLAB]
Pitfall: Root jumps over several
roots
[MATLAB]
Pitfall: Roots oscillates around local
maxima and minima
[MATLAB]
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Secant Method |
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Simulation of secant method
[MATLAB]
Convergence Simulation of secant
method [MATLAB]
Pitfall: Division by zero in secant
method simulation [MATLAB]
Pitfall: Root jumps over several roots
in secant method [MATLAB]
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SIMULTANEOUS LINEAR EQUATIONS |
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Gaussian Elimination |
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Method
[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
[MATLAB] |
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Interpolation |
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Direct Method |
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Method
[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
[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
[MATLAB]
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Nonlinear Regression |
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Without Data Linearization
[MATLAB]
With Data Linearization
[MATLAB]
Polynomial Regression
[MATLAB]
Comparing with and without Data
Linearization [MATLAB]
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Adequacy of a Regression Model |
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Adequacy
[MATLAB]
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Integration |
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Trapezoidal Rule |
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Method
[MATLAB]
Convergence
[MATLAB]
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Simpson's 1/3rd Rule |
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Method
[MATLAB]
Convergence
[MATLAB]
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Romberg Rule |
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Method
[MATLAB]
Convergence
[MATLAB]
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Gauss-Quadrature Rule
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Method
[MATLAB]
Convergence
[MATLAB] |
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Integrating Discrete Functions |
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Integrating discrete functions
[MATLAB] |
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ORDINARY DIFFERENTIAL EQUATIONS |
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Euler's Method |
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Method
[MATLAB]
Convergence
[MATLAB] |
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Runge-Kutta 2nd order Method |
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Method
[MATLAB]
Convergence
[MATLAB]
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Runge-Kutta 4th order Method |
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Method
[MATLAB]
Convergence
[MATLAB]
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Shooting Method
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Method
[MATLAB] |
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Finite Difference Method |
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Method [MATLAB] |
