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: Ministerstvo školství, mládeže a tělovýchovy ČR
Program: AKTION Česká republika - Rakousko
numerical integration methods, parallel computations, differential equations, large systems of algebraic equations, Taylor series
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.
Chaloupka Jan, Ing.
Kocina Filip, Ing., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
2015
- KOCINA, F.; ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.; VALENTA, V.; KUNOVSKÝ, J. New Trends in Taylor Series Based Applications. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015.
p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X. Detail - NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; CHALOUPKA, J.; VEIGEND, P. Taylor Series Based Differential Formulas. In MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015.
p. 705-706. ISBN: 978-3-901608-46-9. Detail - ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A. 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.
p. 693-694. ISBN: 978-3-901608-46-9. Detail - VEIGEND, P.; KUNOVSKÝ, J.; KOCINA, F.; NEČASOVÁ, G.; ŠÁTEK, V.; VALENTA, V. Electronic Representation of Wave Equation. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015.
p. 1-4. ISBN: 978-0-7354-1392-4. ISSN: 0094-243X. Detail