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Parallel solution of a Schrödinger-Poisson system

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High-Performance Computing and Networking (HPCN-Europe 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 919))

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Abstract

We present a parallel solution of the Schrödinger-Poisson system on distributed memory machines. The Schrödinger-Poisson system is an evolution model for the numerical simulation of a collisionless electron plasma. We apply the Galerkin-Fourier method to the one-dimensional system which results in a nonlinear system of ordinary differential equations. This initial value problem is solved by an appropriate parallel Runge-Kutta method. Experiments on the Intel iPSC/860 show satisfactory speedup values and confirm that the global execution time is reduced considerably.

both authors are supported by DFG, SFB 124

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References

  1. E. Hairer and G. Wanner. Solving Ordinary Differential Equations II. Springer, 1991.

    Google Scholar 

  2. V.T. Nguyen, P. Bertrand, B. Izrar, E. Fijalkow, and M.R. Feix. Integration of Vlasov Equation by Quantum Mechanical Formalism. Computer Physics Communications, 34:295–301, 1985.

    Article  Google Scholar 

  3. T. Rauber and G. Rünger. Runtime Predictions for Parallel Runge-Kutta Methods. In 9th Workshop on Parallel and Distributed Simulation, Lake Placid, USA, 1995.

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  4. G. Rünger. über ein Schrödinger-Poisson-System. PhD Thesis, Köln, 1989.

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  5. P. van der Houwen and B. Sommeijer. Parallel Iteration of high-order Runge-Kutta Methods with stepsize control. J. of Comp. and Appl. Math., 29:111–127, 1990.

    Google Scholar 

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Authors and Affiliations

  1. Computer Science Dep., Universität des Saarlandes, 66041, Saarbrücken, Germany

    Thomas Rauber & Gudula Rünger

Authors
  1. Thomas Rauber
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  2. Gudula Rünger
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Bob Hertzberger Giuseppe Serazzi

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© 1995 Springer-Verlag Berlin Heidelberg

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Rauber, T., Rünger, G. (1995). Parallel solution of a Schrödinger-Poisson system. In: Hertzberger, B., Serazzi, G. (eds) High-Performance Computing and Networking. HPCN-Europe 1995. Lecture Notes in Computer Science, vol 919. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0046702

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  • DOI: https://doi.org/10.1007/BFb0046702

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59393-5

  • Online ISBN: 978-3-540-49242-9

  • eBook Packages: Springer Book Archive

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