Detail publikace

Stiffness in Technical Initial Problems

Originální název

Stiffness in Technical Initial Problems

Anglický název

Stiffness in Technical Initial Problems

Jazyk

en

Originální abstrakt

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. 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.

Anglický abstrakt

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. 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.

BibTex


@inproceedings{BUT97009,
  author="Jiří {Kunovský} and Václav {Šátek} and Václav {Vopěnka}",
  title="Stiffness in Technical Initial Problems",
  annote="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. 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.",
  address="American Institute of Physics",
  booktitle="Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics",
  chapter="97009",
  doi="10.1063/1.4756634",
  edition="NEUVEDEN",
  howpublished="print",
  institution="American Institute of Physics",
  number="1479",
  year="2012",
  month="september",
  pages="2221--2224",
  publisher="American Institute of Physics",
  type="conference paper"
}