Course details
Higly Sophisticated Computations
Guarantor
Language of instruction
Czech, English
Completion
Examination
Time span
- 39 hrs lectures
Department
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
Syllabus of lectures
- Methodology of sequential and parallel computation (feedback stability of parallel computations)
- Extremely precise solutions of differential equations by the Taylor series method
- Parallel properties of the Taylor series method
- Basic programming of specialised parallel problems by methods using the calculus (close relationship of equation and block description)
- Parallel solutions of ordinary differential equations with constant coefficients
- Adjunct differential operators and parallel solutions of differential equations with variable coefficients
- Methods of solution of large systems of algebraic equations by transforming them into ordinary differential equations
- Parallel applications of the Bairstow method for finding the roots of high-order algebraic equations
- Fourier series and parallel FFT
- Simulation of electric circuits
- Solution of practical problems described by partial differential equations
- Library subroutines for precise computations
- Conception of the elementary processor of a specialised parallel computation system.
Course inclusion in study plans