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  • The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are implemented in a simulation language TKSL. Polynomials functions, Finite integrals, Fourier Series and Exponential functions are but a few examples of successful application areas. 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.
  • The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are implemented in a simulation language TKSL. Polynomials functions, Finite integrals, Fourier Series and Exponential functions are but a few examples of successful application areas. 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
  • Semi-analytical Computations Based on TKSL
  • Semi-analytical Computations Based on TKSL (en)
skos:prefLabel
  • Semi-analytical Computations Based on TKSL
  • Semi-analytical Computations Based on TKSL (en)
skos:notation
  • RIV/00216305:26230/08:PU76789!RIV10-MSM-26230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 394259
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26230/08:PU76789
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • differential equation, Taylor series, TKSL, Polynomials functions, Finite integrals, Fourier Series, Exponential functions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [3B13AAFF19AA]
http://linked.open...v/mistoKonaniAkce
  • Liverpool
http://linked.open...i/riv/mistoVydani
  • Liverpool
http://linked.open...i/riv/nazevZdroje
  • Second UKSIM European Symposium on Computer Modeling and Simulation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kopřiva, Jan
  • Kunovský, Jiří
  • Šátek, Václav
  • Kraus, Michal
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • IEEE Computer Society
https://schema.org/isbn
  • 978-0-7695-3325-4
http://localhost/t...ganizacniJednotka
  • 26230
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