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Application of Groebner Basis Methodology to Nonlinear Mechanics Problems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8592))

Abstract

The application of the Groebner basis methodology to four nonlinear mechanics problems is discussed. The MAPLE software package is used in all cases to implement the Groebner basis calculation which converts a set of coupled polynomial algebraic equations into an equivalent set of uncoupled polynomial algebraic equations (the reduced Groebner basis). Observations concerning implementation of Groebner basis methodology are reported.

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References

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© 2014 Springer-Verlag Berlin Heidelberg

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Liu, Y.J., Peddieson, J. (2014). Application of Groebner Basis Methodology to Nonlinear Mechanics Problems. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_61

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44198-5

  • Online ISBN: 978-3-662-44199-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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