Department of Intelligent Systems

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

Czech title:Moderní metoda Taylorovy řady a paralelní implementace numerických metod pro rozsáhlé soustavy
Reseach leader:Kunovský Jiří
Team leaders:Chaloupka Jan, Kocina Filip, ©átek Václav
Agency:Ministry of Education, Youth and Sports Czech Republic
Code:Aktion
Start:2014-02-10
End:2015-04-30
Keywords:numerical integration methods, parallel computations, differential equations, large systems of algebraic equations, Taylor series
Annotation:
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.

Publications

2015CHALOUPKA Jan, KUNOVSKÝ Jiří, MARTINKOVIČOVÁ Alľbeta, ©ÁTEK Václav and THONHOFER Elvira. Multiple Integral Computations Using Taylor Series. In: 12th 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.
 KOCINA Filip, KUNOVSKÝ Jiří, MAREK Martin, NEČASOVÁ Gabriela, SCHIRRER Alexander and ©ÁTEK Václav. New Trends in Taylor Series Based Computations. In: 12th 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.
 KOCINA Filip, ©ÁTEK 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.
 NEČASOVÁ Gabriela, KUNOVSKÝ Jiří, ©ÁTEK Václav, CHALOUPKA Jan and VEIGEND Petr. Multiple Integral Computations Using Taylor Series. In: MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. Vienna: ARGE Simulation News, 2015, pp. 705-706. ISBN 978-3-901608-46-9.
 VEIGEND Petr, KUNOVSKÝ Jiří, KOCINA Filip, NEČASOVÁ Gabriela, ©ÁTEK 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.
 ©ÁTEK 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. Vienna: ARGE Simulation News, 2015, pp. 693-694. ISBN 978-3-901608-46-9.

Your IPv4 address: 54.161.73.123
Switch to IPv6 connection

DNSSEC [dnssec]