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Algorithm and Software for Integration over a Convex Polyhedron

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Mathematical Software - ICMS 2006 (ICMS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4151))

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Abstract

We present a new efficient algorithm for numerical integration over a convex polyhedron in multi-dimensional Euclidian space defined by a system of linear inequalities. The software routines which implement this algorithm are described. A numerical example of calculating an integral using these routines is given.

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References

  1. Atallah, M.J. (ed.): Algorithms and Theory of Computation Handbook. CRC Press, Boca Raton (1999)

    Google Scholar 

  2. Bharucha-Reid, A.T., Sambandham, M.: Random Polynomials. Academic Press, London (1986)

    MATH  Google Scholar 

  3. Cormen, T.H., Leiseron, C.E., Rivest, R.L.: Introduction to Algorithms. The MIT Press, Cambridge (1994)

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  4. Kalos, M.H., Whitlock, P.A.: Monte Carlo Methods. John Wiley & Sons, Chichester (1986)

    Book  MATH  Google Scholar 

  5. Press, W.H., Tenkovsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, Cambridge (1992)

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  6. Price, J.R.: Numerical Methods, Software and Analysis. Academic Press, London (1993)

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© 2006 Springer-Verlag Berlin Heidelberg

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Korenblit, M., Shmerling, E. (2006). Algorithm and Software for Integration over a Convex Polyhedron. In: Iglesias, A., Takayama, N. (eds) Mathematical Software - ICMS 2006. ICMS 2006. Lecture Notes in Computer Science, vol 4151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11832225_28

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  • DOI: https://doi.org/10.1007/11832225_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38084-9

  • Online ISBN: 978-3-540-38086-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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