$$ \newcommand{\dint}{\mathrm{d}} \newcommand{\vphi}{\boldsymbol{\phi}} \newcommand{\vpi}{\boldsymbol{\pi}} \newcommand{\vpsi}{\boldsymbol{\psi}} \newcommand{\vomg}{\boldsymbol{\omega}} \newcommand{\vsigma}{\boldsymbol{\sigma}} \newcommand{\vzeta}{\boldsymbol{\zeta}} \renewcommand{\vx}{\mathbf{x}} \renewcommand{\vy}{\mathbf{y}} \renewcommand{\vz}{\mathbf{z}} \renewcommand{\vh}{\mathbf{h}} \renewcommand{\b}{\mathbf} \renewcommand{\vec}{\mathrm{vec}} \newcommand{\vecemph}{\mathrm{vec}} \newcommand{\mvn}{\mathcal{MN}} \newcommand{\G}{\mathcal{G}} \newcommand{\M}{\mathcal{M}} \newcommand{\N}{\mathcal{N}} \newcommand{\S}{\mathcal{S}} \newcommand{\diag}[1]{\mathrm{diag}(#1)} \newcommand{\diagemph}[1]{\mathrm{diag}(#1)} \newcommand{\tr}[1]{\text{tr}(#1)} \renewcommand{\C}{\mathbb{C}} \renewcommand{\R}{\mathbb{R}} \renewcommand{\E}{\mathbb{E}} \newcommand{\D}{\mathcal{D}} \newcommand{\inner}[1]{\langle #1 \rangle} \newcommand{\innerbig}[1]{\left \langle #1 \right \rangle} \newcommand{\abs}[1]{\lvert #1 \rvert} \newcommand{\norm}[1]{\lVert #1 \rVert} \newcommand{\two}{\mathrm{II}} \newcommand{\GL}{\mathrm{GL}} \newcommand{\Id}{\mathrm{Id}} \newcommand{\grad}[1]{\mathrm{grad} \, #1} \newcommand{\gradat}[2]{\mathrm{grad} \, #1 \, \vert_{#2}} \newcommand{\Hess}[1]{\mathrm{Hess} \, #1} \newcommand{\T}{\text{T}} \newcommand{\dim}[1]{\mathrm{dim} \, #1} \newcommand{\partder}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\rank}[1]{\mathrm{rank} \, #1} $$

Numerical Algorithms

Direct Methods for Linear Systems

In this Post, we introduce Direct Methods for solving linear algebraic equations. The condtion number theory is also given.

Posted by ogi on September 26, 2020

Iterative Methods for Linear Systems

In this Post, we introduce Iterative Methods for solving linear algebraic equations.

Posted by ogi on September 26, 2020

Polynomial Interpolation

Background concerning polynomial interpolation

Posted by ogi on November 2, 2020

Linear Least-Squares Approximation

We introduce the background for linear least-squares approximation and the associated python algorithms.

Posted by ogi on November 2, 2020

Non Linear Approximation

We introduce different type of non linear approximation of data. We will see non linear least-squares methods and the uniform approximation.

Posted by ogi on November 2, 2020

Image Compression

We use the JPEG and the Singular Value Decomposition methods so as to compress grayscale images.

Posted by ogi on November 8, 2020

Numerical resolution of Ordinary Differential Equations

We give classical algorithms to solve Ordinary Differential Equations.

Posted by ogi on September 29, 2019

Two-point boundary problems solve with Finite Difference Method

We give classical algorithms to solve Ordinary Differential Equations with two-point boundary conditions.

Posted by ogi on March 19, 2020

Computer Aided Geometric Design: Bezier curves

In this post, we introduce Bezier curves.

Posted by ogi on April 5, 2020

Control Engineering: PID

In this post, we introduce a PID control strategy.

Posted by ogi on April 7, 2020