Course details
High Performance Computations
VNV Acad. year 2018/2019 Summer semester 5 credits
Guarantor
Deputy Guarantor
Language of instruction
Completion
Time span
Assessment points
Department
Lecturer
Instructor
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing. (DITS FIT BUT)
Subject specific learning outcomes and competences
Generic learning outcomes and competences
Learning objectives
Study literature
- Hairer, E., Norsett, S. P., Wanner, G.: Solving Ordinary Differenatial Equations II. Springer-Verlag Berlin Heidelberg 1996.
- Lecture notes written in PDF format,
- Source codes (TKSL) of all computer laboratories
Fundamental literature
- Kunovský, J.: Modern Taylor Series Method, habilitation thesis, VUT Brno, 1995
- Hairer, E., Norsett, S. P., Wanner, G.: Solving Ordinary Differential Equations I, vol. Nonstiff Problems. Springer-Verlag Berlin Heidelberg, 1987.
- Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, vol. Stiff And Differential-Algebraic Problems. Springer-Verlag Berlin Heidelberg, 1996.
- Vlach, J., Singhal, K.: Computer Methods for Circuit Analysis and Design. Van Nostrand Reinhold, 1993.
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, library subroutines for precise computations
- 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
- The Bairstow method for finding the roots of high-order algebraic equations
- Fourier series and finite integrals
- Simulation of electric circuits
- Solution of practical problems described by partial differential equations
- Control circuits
- Conception of the elementary processor of a specialised parallel computation system.
Syllabus of computer exercises
- Simulation system TKSL
- Exponential functions test examples
- First order homogenous differential equation
- Second order homogenous differential equation
- Time function generation
- Arbitrary variable function generation
- Adjoint differential operators
- Systems of linear algebraic equations
- Electronic circuits modeling
- Heat conduction equation
- Wave equation
- Laplace equation
- Control circuits
Syllabus - others, projects and individual work of students
Progress assessment
Controlled instruction
Course inclusion in study plans
- Programme IT-MSC-2, field MBI, MBS, MIS, MMI, MPV, MSK, any year of study, Elective
- Programme IT-MSC-2, field MGM, any year of study, Compulsory-Elective group M
- Programme IT-MSC-2, field MIN, any year of study, Compulsory-Elective group B
- Programme IT-MSC-2, field MMM, any year of study, Compulsory