Mathematical Modeling in Technical Applications
Code  Completion  Credits  Range  Language 

E011716  Z,ZK  4  2P+2C+0L  English 
 Garant předmětu:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Technical Mathematics
 Synopsis:

Basic principles of mathematical modeling.
Black box and white box models,
Statistical and deterministic approach, continuous and discrete models, continuum.
Role of theoretical mathematics.
Introduction to finite differences for PDE of 1st and 2nd order, consistency, stability, convergence.
Introduction to finite volumes, basic overview
Introduction to finite elements
Solution of simple problems with an opensource software packages
Postprocessing and visualization (gnuplot, Matlab, …)
Introduction to OpenFOAM software package
Examples of some problems of continuum mechanics
Presentations of individual homework
 Requirements:
 Syllabus of lectures:

Basic principles of mathematical modeling.
Black box and white box models,
Statistical and deterministic approach, continuous and discrete models, continuum.
Role of theoretical mathematics.
Introduction to finite differences for PDE of 1st and 2nd order, consistency, stability, convergence.
Introduction to finite volumes, basic overview
Introduction to finite elements
Solution of simple problems with an opensource software packages
Postprocessing and visualization (gnuplot, Matlab, …)
Introduction to OpenFOAM software package
Examples of some problems of continuum mechanics
Presentations of individual homework
 Syllabus of tutorials:
 Study Objective:
 Study materials:

LEVEQUE, R J. Finite Difference Methods for Ordinary and Partial Differential Equations. 2008. ISBN 9780898716290
Bhavikatti, S.S.. Finite Element Analysis, New Age International Ltd, 2004. ProQuest Ebook Central, https://ebookcentral.proquest.com/lib/cvut/detail.action?docID=358028.
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: