Aperçu des sections
- Généralités
- Contact sheet
Contact sheet
- Instructor: SAKHRI AICHA
- Contact: sakhri.aicha@univ-oeb.dz
- Availability (Time and Place): Every Monday at 11:30 AM in Office 206
- Course Title: Numerical Methods
- Unit: Fundamental Unit Code: UEM 4.1
- Coefficient: 02 Credit: 02
- Total Hours: 45 hours (Lecture: 1h30, PW: 1h30)
- General Objectives
General Objectives
At the end of this course, students should be able to:
Familiarize with numerical methods and their applications in mathematical computations.
- Course Content:
Course Content:
Chapter 1: Solving Non-linear Equations f(x)=0 (3 weeks)Introduction to calculation errors and approximations.Introduction to methods for solving non-linear equations.Bisection method.Successive approximations method (Fixed point).Newton-Raphson method.Chapter 2: Polynomial Interpolation (2 weeks)General introduction.Lagrange polynomial.Newton polynomial.Chapter 3: Function Approximation (2 weeks)Quadratic approximation and mean method.Orthogonal or pseudo-orthogonal systems. Approximation by orthogonal polynomials.Trigonometric approximation.Chapter 4: Numerical Integration (2 weeks)General introduction.Trapezoidal rule.Simpson's rule.Quadrature formulas.Chapter 5: Solving Ordinary Differential Equations (Initial Value or Cauchy Problem) (2 weeks)General introduction.Euler's method.Improved Euler's method.Runge-Kutta method.Chapter 6: Direct Methods for Solving Linear Equation Systems (2 weeks)Introduction and definitions.Gauss method and pivoting.LU factorization method.Cholesky factorization method.Thomas Algorithm (TDMA) for tridiagonal systems.Chapter 7: Iterative Methods for Solving Linear Equation Systems (2 weeks)Introduction and definitions.Jacobi method.Gauss-Seidel method. - 1ST CHAPTER