Calculus
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Numerical Differentiation
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- Continuous Function Differentiation
- Discrete Function Differentiation
- Forward, Backward, Central Divided Difference
- High Accuracy Differentiation
- Richardson Extrapolation
- Unequal Spaced Data Differentiation
- Numerical Differentiation with Octave
Numerical Integration
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- Trapezoidal Rule
- Simpson's 1/3 Rule
- Romberg Rule
- Gauss-Quadrature Rule
- Adaptive Quadrature
Roots of a Nonlinear Equation
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Optimization
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Matrix Computation
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Simultaneous Linear Equations
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Gausian Elimination
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Eigenvalue and Singular Value
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Iterative methods
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Regression
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Linear Regression
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Non-linear Regression
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Linear Least Squares
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Interpolation
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Polynomial Interpolation
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Linear Splines
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Piecewise Interpolation
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Ordinary Differential Equation
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Partial Differential Equation
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FEM (Finite Element Method)
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Using Symbolic Package in Octave
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- In Ubuntu, using the Ubuntu Software Center, I installed GiNac and CLN related software and symbolic package for Octave. But it did not properly installed.
- After extracting files from symbolic-1.0.9.tar.gz, I followed the following steps.
./configure
./make
./make INSTALL_PATH=/usr/share/octave/packages/3.2/symbolic-1.0.9
- While doing this, I got an error message related to mkoctfile. So, I used the following command: sudo apt-get install ocatve3.2-headers. Then I was able to install the symbolic packages in the Ubuntu.
Read some tutorials about symbolic computation
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Using SymPy ( a Python library for symbolic mathematics)
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