Numerical Methods for Computer Engineering

Mitchai Chongcheawchamnan

Picture description : Numerical simulation of side wind effects on a high-speed train (German Aerospace Center ; website: www.dlr.de)

Syllabus• Mathematic modeling and engineering problem

solving • Introduction to software used for problem solving

(SCILAB;MATLAB)• Approximation (Round-off errors, accuracy and

precision, truncation errors, Taylor series, application of Taylor series for approximation problems )

• Numerical differentiation and integration • Error propagation • Graphical methods for root estimation

Picture description : Airflow around the Hypersonic Vehicle JAPHAR(The French Aerospace Lab. ; website: www.onera.fr)

Syllabus (contd.)• Bisection method, Bracketing method, Fixed-

point iteration method, Secant method• Roots of polynomial estimation • Solving linear equation system • Solving nonlinear equation system using fixed-

point iteration method • The Newton-Raphson method • Some examples of root estimation in

engineering applications • Optimization • Curve fitting

Picture description : Airflow around the Hypersonic Vehicle JAPHAR(The French Aerospace Lab. ; website: www.onera.fr)

Marking plan

• Class attending + others 10%• Assignment 35% • Midterm Examination 25%• Final Examination 30%

Software as a teaching tool

• MATLAB• SciLAB

References[1] S. C. Chapra and R. P. Canale, Numerical Methods for Engineers

with Software and Programming Applications (International edition), 4th ed.,McGraw-Hill Higher Education, 2002.

[2] S. L. Campbell, J-P Chancelier and R. Nikoukhah, Modeling and Simulation in Scilab/Scicos, Springer Science and Business Media, Inc, 2006.

[3] S.C Chapra, Applied Numerical Methods with MATLAB, McGraw-Hill, 2nd, 2008.

[4] Scilab Group, Introduction to SciLAB : Users’s Guide.[5] Mathworks, MATLAB Users’s Guide

Example moviesNumerical simulation of a supersonic hotjet

(Top: Temperature, Buttom : Pressure)

Remark: Videos from The French Aerospace Lab

Numerical Methods for Computer EngineeringSyllabusSyllabus (contd.)Marking planSoftware as a teaching toolReferencesExample movies