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International Workshop on Applied Parallel Computing

PARA 1998: Applied Parallel Computing Large Scale Scientific and Industrial Problems pp 112–119Cite as

Parallel computation of multidimensional scattering wavefunctions for Helmholtz/Schroedinger equations

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1541))

Abstract

Multidimensional scattering wavefunctions are calculated using a new fully distributed parallel solver for the Helmholtz/Schroedinger equations. The solver is based on a parallel preconditioner which is derived from the generic structure of the Helmholtz/Schroedinger partial differential equations with scattering boundary conditions. The approach is useful for a broad range of scientific applications, e.g. in nano-electronics, fiber optics and multidimensional quantum scattering calculations. With minor changes, the solver can be applied as an exponential propagator for time-dependent Helmholtz/Schroedinger initial value problems. Examples are given for 3D models of a wave propagation in a discontinuous waveguide and of electron transmission through a water barrier.

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Author information

Authors and Affiliations

  1. Department of Chemistry, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Åke Edlund, Ilan Bar-On & Uri Peskin

Authors
  1. Åke Edlund
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  2. Ilan Bar-On
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  3. Uri Peskin
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Editor information

Bo Kågström Jack Dongarra Erik Elmroth Jerzy Waśniewski

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© 1998 Springer-Verlag Berlin Heidelberg

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Edlund, Å., Bar-On, I., Peskin, U. (1998). Parallel computation of multidimensional scattering wavefunctions for Helmholtz/Schroedinger equations. In: Kågström, B., Dongarra, J., Elmroth, E., Waśniewski, J. (eds) Applied Parallel Computing Large Scale Scientific and Industrial Problems. PARA 1998. Lecture Notes in Computer Science, vol 1541. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095327

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  • DOI: https://doi.org/10.1007/BFb0095327

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65414-8

  • Online ISBN: 978-3-540-49261-0

  • eBook Packages: Springer Book Archive

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