Course detail

Higly Sophisticated Computations

FIT-VNDAcad. year: 2010/2011

Not applicable.

Language of instruction

Czech

Number of ECTS credits

0

Mode of study

Not applicable.

Guarantor

doc. Ing. Jiří Kunovský, CSc.

Department

Department of Intelligent Systems (UITS)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Not applicable.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic 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

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme VTI-DR-4 Doctoral

    branch DVI4 , any year of study, summer semester, elective

  • Programme VTI-DR-4 Doctoral

    branch DVI4 , any year of study, summer semester, elective

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Kunovský, CSc.

Syllabus

  • 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.