├── .gitignore ├── 02_floating_point_arithmetic.ipynb ├── 03_roots_of_1D_functions.ipynb ├── 04_system_of_linear_equations.ipynb ├── 05_Polynomial_Interpolation_1D.ipynb ├── 06_Least_Squares.ipynb ├── 07_GMRes.ipynb ├── 08_Numerical_Integration.ipynb ├── 09_ODE.ipynb ├── Bonus - current ├── Bonus - 00 - Class zero.ipynb ├── Bonus - 00 - First lecture - linear transformation of an image.ipynb ├── Bonus - 00 - List Comprehension vs NumPy.ipynb ├── Bonus - 00 - Playing with Julia.ipynb ├── Bonus - 00 - Solving a system of linear equations.ipynb ├── Bonus - 00 - The beginning.ipynb ├── Bonus - 000 - A sneak peek at Scientific Computing.ipynb ├── Bonus - 01 - Linear Transformation.ipynb ├── Bonus - 02 - Quadratic formula.ipynb ├── Bonus - 03 - An slow root finder.ipynb ├── Bonus - 04 - GE, LU and PALU.ipynb ├── Bonus - 04 - Ill conditioned matrices.ipynb ├── Bonus - 04 - Newton Rn.ipynb ├── Bonus - 05 - Finding 2 Chebyshev Points Graphically.ipynb ├── Bonus - 06 - Gradient Descent and Nonlinear Least-Square.ipynb ├── Bonus - 06 - My first Least Squares problem.ipynb ├── Bonus - 06 - Weighted Least Squares.ipynb ├── Bonus - 07 - An small but detailed example of GMRes.ipynb ├── Bonus - 07 - Small example with GMRes.ipynb ├── Bonus - 07 - Sylvester Equation with GMRes.ipynb ├── Bonus - 09 - BVP and IVP.ipynb ├── Bonus - 09 - My first BVP.ipynb ├── Bonus - 09 - My first IVP.ipynb ├── Bonus - 09 - Pendulum, double pendulum and chaos.ipynb └── Bonus - 09 - linear and nonlinear BVP with Finite Difference and the Shooting Method.ipynb ├── Bonus - older ├── Bonus - 05 - Newton's divided differences, Sinc and piecewiselinear interpolations.ipynb └── Bonus - 09 - older 09_ODE with stability regions.ipynb ├── LICENSE ├── README.md └── images ├── 1900s-casa-de-don-federico-en-paris.jpg ├── Departamento de Informática cromatica negra@4x-8.png ├── WatchonYouTube-black-1xPNG.png ├── WatchonYouTube-black-SVG.svg ├── WatchonYouTube-white-1xPNG.png ├── WatchonYouTube-white-SVG.svg └── colab-badge.png /.gitignore: -------------------------------------------------------------------------------- 1 | sandbox/ 2 | .DS_Store 3 | .vscode/ 4 | -------------------------------------------------------------------------------- /02_floating_point_arithmetic.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/02_floating_point_arithmetic.ipynb -------------------------------------------------------------------------------- /03_roots_of_1D_functions.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/03_roots_of_1D_functions.ipynb -------------------------------------------------------------------------------- /04_system_of_linear_equations.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/04_system_of_linear_equations.ipynb -------------------------------------------------------------------------------- /05_Polynomial_Interpolation_1D.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/05_Polynomial_Interpolation_1D.ipynb -------------------------------------------------------------------------------- /06_Least_Squares.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/06_Least_Squares.ipynb -------------------------------------------------------------------------------- /07_GMRes.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/07_GMRes.ipynb -------------------------------------------------------------------------------- /08_Numerical_Integration.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/08_Numerical_Integration.ipynb -------------------------------------------------------------------------------- /09_ODE.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/tclaudioe/Scientific-Computing-V3/HEAD/09_ODE.ipynb -------------------------------------------------------------------------------- /Bonus - 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