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  • As long as 250 years ago the method of Taylor series was already well developed. Since then the application of Taylor series has become a standard concept in numerical analysis. Their ability of approximating functions arbitrarily close under certain conditions makes them, at least theoretically, an ideal tool for the integration of differential equations.<br>Before the appearance of digital computers the analytical determination of Taylor series coefficients, i.e. the calculation of higher derivatives, was regarded as too complicated in most cases. In many modern text books [3], [4] on numerical or applied mathematics has even been stated that Taylor series, although theoretically and conceptually very interesting, can only be applied as implementation in very special cases, since a general purpose integration algorithm is too complicated or even impossible.<br>In this paper an outline is presented of establishing Taylor series coefficients of initial problems with polynomials on right-hand sides. Th
  • As long as 250 years ago the method of Taylor series was already well developed. Since then the application of Taylor series has become a standard concept in numerical analysis. Their ability of approximating functions arbitrarily close under certain conditions makes them, at least theoretically, an ideal tool for the integration of differential equations.<br>Before the appearance of digital computers the analytical determination of Taylor series coefficients, i.e. the calculation of higher derivatives, was regarded as too complicated in most cases. In many modern text books [3], [4] on numerical or applied mathematics has even been stated that Taylor series, although theoretically and conceptually very interesting, can only be applied as implementation in very special cases, since a general purpose integration algorithm is too complicated or even impossible.<br>In this paper an outline is presented of establishing Taylor series coefficients of initial problems with polynomials on right-hand sides. Th (en)
Title
  • Initial Problems with Polynomials on Right-hand Sides
  • Initial Problems with Polynomials on Right-hand Sides (en)
skos:prefLabel
  • Initial Problems with Polynomials on Right-hand Sides
  • Initial Problems with Polynomials on Right-hand Sides (en)
skos:notation
  • RIV/00216305:26230/09:PU82620!RIV10-MSM-26230___
http://linked.open...avai/riv/aktivita
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  • Z(MSM0021630528)
http://linked.open...vai/riv/dodaniDat
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  • 319567
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  • RIV/00216305:26230/09:PU82620
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  • ordinary differential equations, TKSL, Taylor series method<br> (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [DBD59736C1ED]
http://linked.open...v/mistoKonaniAkce
  • Bandung, Bali
http://linked.open...i/riv/mistoVydani
  • Bandung/Bali
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  • Proceedings of Third Asia International Conference on Modelling and Simulation
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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
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  • 978-0-7695-3648-4
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  • 26230
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