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  • The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators is also a part of the paper.
  • The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators is also a part of the paper. (en)
Title
  • New Trends in Taylor Series Based Computations
  • New Trends in Taylor Series Based Computations (en)
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  • New Trends in Taylor Series Based Computations
  • New Trends in Taylor Series Based Computations (en)
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  • RIV/00216305:26230/14:PU111921!RIV15-MSM-26230___
http://linked.open...avai/riv/aktivita
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  • P(ED1.1.00/02.0070), S
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  • 32523
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  • RIV/00216305:26230/14:PU111921
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  • Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations (en)
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  • [FF09E57A716A]
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  • Rhodes
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  • Rhodes
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  • 12th International Conference of Numerical Analysis and Applied Mathematics
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  • Kunovský, Jiří
  • Marek, Martin
  • Šátek, Václav
  • Schirrer, Alexander
  • Kocina, Filip
  • Nečasová, Gabriela
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number of pages
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  • 10.1063/1.4913136
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  • American Institute of Physics
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  • 978-0-7354-1287-3
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  • 26230
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