Course details
Higly Sophisticated Computations
VND Acad. year 2003/2004 Summer semester
The course is aimed at practical methods of solving problems encountered in science and engineering: large systems of differential equations, algebraic equations, partial differential equations,stiff systems, problems in automatic control, electric circuits, mechanical systems, electrostatic and electromagnetic fields. An original method based on a direct use of Taylor series is used to solve the problems numerically. The course also includes analysis of parallel algorithms and design of special architectures for the numerical solution of differential equations. A special simulation language TKSL is available implemented on one-processor systems (PC486, Pentium) and on multi-processor systems.
Guarantor
Language of instruction
Completion
Time span
- 39 hrs lectures
Department
Subject specific learning outcomes and competences
Ability to analyse the selected methods for numerical solutions of differential equations (based on the Taylor Series Method) for extremely exact and fast solutions of sophisticated problems.
Learning objectives
To provide overview and basics of practical use of selected methods for numerical solutions of differential equations (based on the Taylor Series Method) for extremely exact and fast solutions of sophisticated problems.
Fundamental literature
- Kunovský, J.: Modern Taylor Series Method, habilitační práce, VUT Brno, 1995
- Vitásek,E.: Základy teorie numerických metod pro řešení diferenciálních rovnic. Academia, Praha, 1994.
- Miklíček,J.: Numerické metody řešení diferenciálních úloh, skripta, VUT Brno,1992