Project Details

Modern Taylor Series Method and Parallel Implementation of Numerical Methods for Large Systems

Project Period: 10. 2. 2014 - 30. 4. 2015

Project Type: grant

Code: Aktion

Agency: Ministry of Education, Youth and Sports Czech Republic

Program: AKTION Česká republika - Rakousko

Czech title
Moderní metoda Taylorovy řady a paralelní implementace numerických metod pro rozsáhlé soustavy
Type
grant
Keywords

numerical integration methods, parallel computations, differential equations, large systems of algebraic equations, Taylor series

Abstract

The project will extend the results of the preceding Aktion-64p13 project. New efficient algorithms will be devised and implemented of sophisticated simulation problems focusing on methods of parallel
computation. The extreme precision will be verified of the Modern Taylor series Method (MTSM) applied to mathematical problems (large systems of ordinary differential equations, repeated integrals, partial differential equations) solving tasks of the theory of control and the theory of flows (large systems of algebraic equations).

The results of the proposed project will enable both research groups to build up advanced knowledge on solving demanding simulation problems and to establish suitable solver tools for typical research problems.

Team members
Kunovský Jiří, doc. Ing., CSc. (UITS FIT VUT) , research leader
Chaloupka Jan, Ing. (UITS FIT VUT) , team leader
Kocina Filip, Ing., Ph.D. (UITS FIT VUT) , team leader
Šátek Václav, Ing., Ph.D. (UITS FIT VUT) , team leader
Publications

2015

  • VEIGEND Petr, KUNOVSKÝ Jiří, KOCINA Filip, NEČASOVÁ Gabriela, ŠÁTEK Václav and VALENTA Václav. Electronic Representation of Wave Equation. In: 13rd International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1392-4. ISSN 0094-243X. Detail
  • KOCINA Filip, ŠÁTEK Václav, VEIGEND Petr, NEČASOVÁ Gabriela, VALENTA Václav and KUNOVSKÝ Jiří. New Trends in Taylor Series Based Applications. In: 13rd International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Detail
  • NEČASOVÁ Gabriela, KUNOVSKÝ Jiří, ŠÁTEK Václav, CHALOUPKA Jan and VEIGEND Petr. Taylor Series Based Differential Formulas. In: MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015, pp. 705-706. ISBN 978-3-901608-46-9. Detail
  • ŠÁTEK Václav, KOCINA Filip, KUNOVSKÝ Jiří and SCHIRRER Alexander. Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison. In: MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015, pp. 693-694. ISBN 978-3-901608-46-9. Detail
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