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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Methods of Time Discretization

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Code Completion Credits Range Language
101YMCD Z 2 1P+1C Czech
Garant předmětu:
František Bubeník
Lecturer:
Petr Mayer
Tutor:
Petr Mayer
Supervisor:
Department of Mathematics
Synopsis:

The course is devoted to a universal and very effective method for solving problems involving time, the so-called evolutionary problems, especially for partial differential equations with a time variable. This method represents a modern approach to modeling and solving engineering tasks. These problems, both linear and non-linear, model events in many engineering fields, such as heat conduction, oscillations, also in rheology and other parts.

Requirements:

The course is suitable for students of master's and bachelor's study programs, especially those interested in engineering processes. It is taught in an accessible form with many examples and does not require any special prior knowledge. Individual terms are explained from the very basics and the explanation is adapted to the students who enroll in the subject.

Syllabus of lectures:

Basic concepts. Overview and development of computational analytical and numerical methods.

An illustrative introductory simple example explaining the principle of the time discretization method. Algorithms.

Basic properties of function spaces.

Orthogonal and orthonormal systems.

Properties of operators.

Energy functional.

Sobolev spaces.

Classic, generalized and weak solutions.

Integral identity.

Error estimates.

Syllabus of tutorials:

The course syllabus is based on the lecture syllabus

Study Objective:

Students are introduced to all the basics necessary to understand the formulation and modeling of engineering tasks, with an overview of solution methods, as well as the practical and theoretical foundations of methods for solving time-dependent, linear and non-linear tasks.

Study materials:

The basic study material is the course lectures.

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu
roomTH:B-374

18:00–18:50
(lecture parallel1)
Thákurova 7 (budova FSv)
B374
roomTH:B-374

19:00–19:50
(lecture parallel1
parallel nr.101)

Thákurova 7 (budova FSv)
B374
Fri
The course is a part of the following study plans:
Data valid to 2024-05-25
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