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Parallel Laplace Method with Assured Accuracy for Solutions of Differential Equations by Symbolic Computations

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Book cover Computer Algebra in Scientific Computing (CASC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4194))

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Abstract

We produce a parallel algorithm realizing the Laplace transform method for symbolic solution of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions, and the right-hand sides reduced to the sums of exponents with the polynomial coefficients.

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Author information

Authors and Affiliations

  1. Tambov State University, Internatsionalnaya 33, 392622, Tambov, Russia

    Natasha Malaschonok

Authors
  1. Natasha Malaschonok
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Editors and Affiliations

  1. Institute of Informatics, Technische Universität München, Boltzmannstr. 3, 85748, Garching, Germany

    Victor G. Ganzha  & Ernst W. Mayr  & 

  2. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2006 Springer-Verlag Berlin Heidelberg

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Malaschonok, N. (2006). Parallel Laplace Method with Assured Accuracy for Solutions of Differential Equations by Symbolic Computations. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2006. Lecture Notes in Computer Science, vol 4194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11870814_21

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  • DOI: https://doi.org/10.1007/11870814_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45182-2

  • Online ISBN: 978-3-540-45195-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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