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  • Homogeneous differential equations with constant coefficients<br>are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of homogeneous differential equations and their solutions by the Modern Taylor Series Method will be analysed in this paper. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution.
  • Homogeneous differential equations with constant coefficients<br>are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of homogeneous differential equations and their solutions by the Modern Taylor Series Method will be analysed in this paper. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution. (en)
Title
  • Accuracy and Word Width in TKSL
  • Accuracy and Word Width in TKSL (en)
skos:prefLabel
  • Accuracy and Word Width in TKSL
  • Accuracy and Word Width in TKSL (en)
skos:notation
  • RIV/00216305:26230/08:PU76788!RIV10-MSM-26230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021630528)
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  • 354733
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  • RIV/00216305:26230/08:PU76788
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  • differential equation, Taylor series, TKSL, word width<br> (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [2B95246DAD8C]
http://linked.open...v/mistoKonaniAkce
  • Liverpool
http://linked.open...i/riv/mistoVydani
  • Liverpool
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  • Second UKSIM European Symposium on Computer Modeling and Simulation
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
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  • Kunovský, Jiří
  • Šátek, Václav
  • Kraus, Michal
  • Kaluža, Vlastimil
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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  • IEEE Computer Society
https://schema.org/isbn
  • 978-0-7695-3325-4
http://localhost/t...ganizacniJednotka
  • 26230
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