Numerical Analysis

Module Notes
Faculty Member (Members):
Undergraduate, 4th Semester (2nd Year, Spring)
Module Category: Compulsory Modules
Module Type: Background Courses
Teaching Language: Greek
Course Code: CHM_660
Credits: 5
ECTS Credits: 8
Teaching Type: Lectures (3h/W) Τutorial (1h/W) Laboratory (3h/W) Project/Homework (6/Semester)
Module Availability on Erasmus Students: No
Course URL: E-Class (CMNG2129)
Student's office hours: Monday 5-8 pm - https://upatras-gr.zoom.us/j/96399119622?pwd=QkFTQmptRzcvbXE0U3NCWXlkZkZiZz09
Module Details

Ability for deep understanding of the fundamental numerical methods.

Ability to recognize the advantages and disadvantages of each method in order to decide the most convenient in use on application basis

Ability to use specific software in order to develop the necessary applications

Ability to analyze and interpret data

There are no prerequisite modules. It is, however, recommended that students should have a good knowledge of Mathematics (Calculus, Linear Algebra, Differential Equations) as well as fundamental skills on Scientific Programming)

Introduction (discretization, error analysis), Numerical Differentiation (forward, backward and central differences), Numerical Integration (trapezoid rule, Simpson rule, Newton-Cotes formulae), Interpolation/Extrapolation (Taylor, Lagrange polynomials), Numerical solution of algebraic equations (trial & error, bisection, Newton-Raphson), Numerical solution of linear systems (Gauss, Jacobi, Gauss-Seidel), Numerical Integration of Ordinary Differential Equations (Euler, Runge-Kutta), Finite Differences, Special Topics, Non-linear systems.

Teaching Organization

LECTURES: 3 h/w
RECITATION: 1 h/w
LAB/PRACTICE: 3 h/w
PROJECT/HOMEWORK: 6/semester

Total Module Workload (ECTS Standards):

123 Hours

Assessment

  • (70%): Final Written Examination, which includes problem-solving and theory questions.
  • (30%): Evaluation of Six (6) Laboratory Exercises / Programming Projects and Six (6) Preparatory (Ticket) Exercises, submitted throughout the semester at the Computer Center of the Department of Chemical Engineering.

Only students who have attended all laboratory exercises are eligible to participate in the written exam. This prerequisite is verified by the attendance records maintained by the Laboratory and Course coordinators.

Gilat Amos, Subramaniam Vish, Αριθμητικές Μέθοδοι για Μηχανικούς και Επιστήμονες,  Broken Hill (2021)

ISBN: 9789925576357