# Numerical Methods (ECTS: 6), Short Course

• Anytime
• 1 month
Duration
Online
The course is introductory to scientific computation. In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm.
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## Overview

The basic numerical methods for the solution of classical problems are presented and described. The course is introductory to scientific computation. The basic numerical methods for the solution of classical problems are presented and described.

## Detailed Programme Facts

• Deadline and start date A student can apply at any time for this programme, there is no deadline.
• Programme intensity Part-time
• Average part-time duration 1 months
• Intensity Flexible
• Credits
6 ECTS
• Languages
• English
• Delivery mode
Online
• Time flexibility
Fully structured
• Attendance
No Attendance
• Teacher support
Continuous support with feedback on request

## Programme Structure

Courses included:

• Basic concepts of floating-point arithmetic. Conditioning of a problem. Numerical stability of an algorithm.
• Linear systems: direct methods (Gaussian eliminitations, LU-decomposition, Choleski) and iterative methods (Jacobi, Gauss-Seidel, SOR).
• Approximation of functions and data: polynomial and piecewise polynomial interpolation, splines, discrete least squares.
• Non-linear equations and systems: Newton's method and its discrete variants, fixed-point iteration.
• Numerical integration: Newton-Cotes formulas, Gaussian quadrature rules, composite rules.
• Initial value problems for ordinary differential equations: one-step methods (Runge-Kutta methods) and multistep (Adams) methods. Stiff problems.

## Lecturers

Prof. Hany Abdel-Malek - University of Cairo (Cairo - Egypt)

## English Language Requirements

This programme may require students to demonstrate proficiency in English.

## General Requirements

Basic linear algebra and computer programming.

## Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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