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Contributions to Proceedings:

J. Kunovsky, V. Satek, V. Vopenka, A. Schirrer:
"Stiffness in technical initial problems";
in: "AIP Conference Proceedings 1479: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics", American Institute of Physics, College Park, MD, USA, 2012, ISBN: 978-0-7354-1091-6, 2221 - 2224.



English abstract:
Technical initial problems are defined as initial problems where the right-hand side functions of the system are
those occurring in the technical practice, that is functions generated by adding, multiplying and superposing elementary
functions. Such systems can be expanded into systems with only rationals operations on the right-hand sides of the equations.
In such a case the Taylor series terms can easily be calculated [1]. Test examples are presented in the paper. Stiffness in
technical initial problems can be eliminated by the TKSL software and solved by the direct use of the explicit and implicit
Taylor series methods.

Keywords:
Differential equations, Taylor series method, TKSL, Stiff systems


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1063/1.4756634


Created from the Publication Database of the Vienna University of Technology.