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  • The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. However, we often need to find out the solution in a long range. It is clear that the mentioned facts are troublesome and ways to cope with such problems have to be devised. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. Usually a quite complicated a
  • The paper deals with stiff systems of differential equations. To solve this sort of system numerically is a difficult task. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. However, we often need to find out the solution in a long range. It is clear that the mentioned facts are troublesome and ways to cope with such problems have to be devised. There are many (implicit) methods for solving stiff systems of ordinary differential equations (ODE's), from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. The mathematical formulation of the methods often looks clear, however the implicit nature of those methods implies several implementation problems. Usually a quite complicated a (en)
Title
  • Advanced Stiff Systems Detection
  • Advanced Stiff Systems Detection (en)
skos:prefLabel
  • Advanced Stiff Systems Detection
  • Advanced Stiff Systems Detection (en)
skos:notation
  • RIV/00216305:26230/11:PU96142!RIV12-MSM-26230___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • S, Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat
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  • 184748
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26230/11:PU96142
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Stiff systems, Taylor series terms, Modern Taylor Series Method, TKSL (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A36476F6BD49]
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  • Rožňava
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  • Rožňava
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Eleventh International Scientific Conference on Informatics
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http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kopřiva, Jan
  • Kunovský, Jiří
  • Šátek, Václav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Technická univerzita v Košiciach. Fakulta elektrotechniky a informatiky
https://schema.org/isbn
  • 978-80-89284-94-8
http://localhost/t...ganizacniJednotka
  • 26230
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