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Radiative Heat Transfer with Quasi Monte Carlo Methods

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Simulation of Semiconductor Devices and Processes
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Abstract

Monte Carlo simulation is often used to solve radiative transfer problems where complex physical phenomena and geometries must be handled. Slow convergence is a well known disadvantage of this method. In this paper we demonstrate that a significant improvement in computation time can be achieved by using Quasi-Monte Carlo (QMC) methods to simulate Rapid Thermal Processing.

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References

  1. J.H. Halton, On the e of certain quasi-random sequences of points in evaluating multi-dimensional integrals, Numer. Math. 2, 84–90, 1960.

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  2. W.J. Morokoff and R.E. Caflisch, Quasi-random sequences and discrepancy, SIAM Sci. Comp. (to appear).

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  3. W.J. Morokoff and R.E. Caflisch, Quasi-Monte Carlo Integration, submitted to J. Comp. Phys. (1991).

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  4. H. Niederreiter, Random number generation and quasi-Monte Carlo methods, SIAM Regional Conference Series in Applied Mathematics, CBMS-NSF 63, 1992.

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© 1993 Springer-Verlag Wien

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Kersch, A., Morokoff, W. (1993). Radiative Heat Transfer with Quasi Monte Carlo Methods. In: Selberherr, S., Stippel, H., Strasser, E. (eds) Simulation of Semiconductor Devices and Processes. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6657-4_92

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  • DOI: https://doi.org/10.1007/978-3-7091-6657-4_92

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7372-5

  • Online ISBN: 978-3-7091-6657-4

  • eBook Packages: Springer Book Archive

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