Scientific Python: a collection of science oriented python examples
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Python
Interpolation
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Ordinary Differential Equations
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Prerequisites and objectives
Differential Equations
Two classes of differential equations
Introductive example : Spring-Mass system
Numerical integration of ODE
Examples
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Image Processing
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Machine Learning
Scientific Python: a collection of science oriented python examples
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Table of contents:
Prerequisites and objectives
Prerequisites
Objectives
Differential Equations
Two classes of differential equations
Ordinary differential equations (ODE)
Partial differential equations (PDE)
Introductive example : Spring-Mass system
Setup
Problem formulation :
Closed form solution
Reformulation
Numerical integration of ODE
Pros / Cons
Time discretization
Explicit Euler method
Solution accuracy
Convergence order
Runge Kutta 4
ODEint (with Scipy)
Implicit methods
Backward Euler
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