Mathematical Modeling in Technical Applications (E011716)
Departments:ústav technické matematiky (12101)
Abbreviation:MMTEENApproved:29.03.2022
Valid until: ??Range:2P+2C+0L
Semestr:Credits:4
Completion:Z,ZKLanguage:EN
Annotation
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 open-source software packages
Postprocessing and visualization (gnuplot, Matlab, …)
Introduction to OpenFOAM software package
Examples of some problems of continuum mechanics
Presentations of individual homework
Structure
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 open-source software packages
Postprocessing and visualization (gnuplot, Matlab, …)
Introduction to OpenFOAM software package
Examples of some problems of continuum mechanics
Presentations of individual homework
Literarture
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.
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