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  • The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms. The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].
  • The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms. The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods]. (en)
Title
  • Taylor Series Based Computation and MATLAB ODE Solvers Comparison
  • Taylor Series Based Computation and MATLAB ODE Solvers Comparison (en)
skos:prefLabel
  • Taylor Series Based Computation and MATLAB ODE Solvers Comparison
  • Taylor Series Based Computation and MATLAB ODE Solvers Comparison (en)
skos:notation
  • RIV/61989100:27740/13:86087704!RIV14-MSM-27740___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.30.0055)
http://linked.open...iv/cisloPeriodika
  • 2013
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 109881
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27740/13:86087704
http://linked.open...riv/jazykVysledku
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  • Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [D071714844C2]
http://linked.open...i/riv/nazevZdroje
  • AIP Conference Proceedings
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...v/svazekPeriodika
  • 1558
http://linked.open...iv/tvurceVysledku
  • Kunovský, Jiří
  • Šátek, Václav
  • Chaloupka, Jan
  • Kocina, Filip
http://linked.open...ain/vavai/riv/wos
  • 000331472800533
issn
  • 0094-243X
number of pages
http://bibframe.org/vocab/doi
  • 10.1063/1.4825997
http://localhost/t...ganizacniJednotka
  • 27740
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