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CS2008: Numerical Computing, . - Coggle Diagram
CS2008:
Numerical Computing
.
Chapter 3.ipynb
Sources of Errors in Numerical Computing
Floating point error
Discretization error
Catastropic cancellation
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Chapter 1.ipynb (basics)
files / exceptions handling
Controll statements/ Repetitive statements
.
Python types
Specialized
Custom
Fundamental
int, float,bool, str, list, tuple, dict,set
Classes
Libraries: numpy etc (chapter 2)
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Chapter 4 (Book)
IMV theorm and Taylor Series
Purpose/applications of the theorm as a tool and taylor series via examples
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Chapter 5.ipynb
Numerical Methods
(Math+ Python imple...)
Math
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Bisection Method
Fixed Point Method
Newton Raphson Method
Secant Method
Implementation
scipy.optimize
scipy.optimize.bisect
scipy.optimize.fixed_point
scipy.optimize.newton
scipy.optimize.newton (secant)
Manual Implementation
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Chapter 2.ipynb
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Numpy, Scipy, and some comparisons
Matrices in numpy
Some operations (
,*
etc)
Comparisons with Naive methods
Comparison with scipy specialized functions
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Chapter 6.ipynb
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Math
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Interpolations
Via Lagrange
Via Newton's method
Via Hermite
Vandermonde matrix
Spline Interpolation
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Least square approximations
Linear least squares
Polynomial fit
Non-Polynomial fit
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Implementation
Code for each interpolation method in pyton
The Module scipy.interpolate
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Chapter 7.ipynb
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Math
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.
Implementation
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