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Application of Equations with a Retarded Argument in Physical Systems

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

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Abstract

The paper deals with physical systems, the analysis of which is reduced to solving ordinary differential equations with a retarded argument. This concerns discrete-continuous systems subject to torsional, longitudinal or shear deformations, where the equations of motion for elastic elements are classical wave equations. After a short general description of the approach used, the detailed considerations and numerical results are presented for a multi-mass discrete-continuous system with a local nonlinearity, undergoing shear deformations.

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Author information

Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Świetokrzyska 21, 00-049, Warszawa, Poland

    Amalia Pielorz

Authors
  1. Amalia Pielorz
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2002 Springer-Verlag Berlin Heidelberg

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Pielorz, A. (2002). Application of Equations with a Retarded Argument in Physical Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_82

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  • DOI: https://doi.org/10.1007/3-540-48086-2_82

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

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