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Analyse numérique 2
Chapter Two
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Annonces
Prerequisites test
Discussion
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Existence et unicite du polynome dinterpolation
Existence and Uniqueness of the Interpolation Polynomial
📘 Vandermonde Matrix
📘 Lagrange Interpolation
Quadratic Interpolation (Degree 2 Polynomials)
Polynomials of Degree n
First Divided Differences
Second and Higher Divided Differences
Divided Differences Table exemple
Interpolation Error
Cubic Splines for Curves y = f(x)
Algorithm and Example: Cubic Splines
Choosing Chebyshev Interpolation Points
Chebyshev Polynomials
Hermite Interpolation
Hermite Interpolation
Discrete Least Squares Approximation
Approximation au sens des moindres carrés
Chapitre 1 opale
Chapter 1 CSS
Test 01
discussions Chapter 1
First-Order Derivatives
Finite Differences
Higher-Order Derivatives
Example: Numerical Instability in Differentiation
Trapezoidal Method
Composite Trapezoidal Method
Rectangle Method
Exemple : Simpson 1/3 Composée
Simpson 1/3 Rule (Simple)
Simpson’s method
Test Intergration numérique
discussions Chapter 2
Numerical Integration and Derivation
Differential Equations – Basic Definitions and Examples
Root Finding Methods
Explicit Euler Method
Explicit Euler Method – Algorithm and Example
Order of Convergence and Local Truncation Error
Runge–Kutta Methods of Order 2
Modified Euler Method (Runge–Kutta Order 2)
Midpoint Method (Runge–Kutta Order 2)
Runge–Kutta Method of Order 4
Bisection Method
Méthode de Newton (ou Newton-Raphson)
Newton’s Method
Analyse de convergence
Convergence Analysis of Newton's Method
Test chapter 3
Discussion chapitre 03
Chapter Three
Devoir CHAPTER 1
Devoir Chapter 02
Devoir Chapter 03
Final Exam
Solution
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References / Bibliographie
Numerical Integration and Derivation ◄
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