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Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation

Publication ,  Journal Article
Lin, W; Kovvali, N; Carin, L
Published in: Computer Physics Communications
July 15, 2006

We solve Schrödinger's equation for semiconductor nanodevices by applying prolate spheroidal wave functions of order zero as basis functions in the pseudospectral method. When the functions involved in the problem are bandlimited, the prolate pseudospectral method outperforms the conventional pseudospectral methods based on trigonometric and orthogonal polynomials and related functions, asymptotically achieving similar accuracy using a factor of π / 2 less unknowns than the latter. The prolate pseudospectral method also employs a more uniform spatial grid, achieving better resolution near the center of the domain. © 2006 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Computer Physics Communications

DOI

ISSN

0010-4655

Publication Date

July 15, 2006

Volume

175

Issue

2

Start / End Page

78 / 85

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 08 Information and Computing Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Lin, W., Kovvali, N., & Carin, L. (2006). Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation. Computer Physics Communications, 175(2), 78–85. https://doi.org/10.1016/j.cpc.2006.02.006
Lin, W., N. Kovvali, and L. Carin. “Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation.” Computer Physics Communications 175, no. 2 (July 15, 2006): 78–85. https://doi.org/10.1016/j.cpc.2006.02.006.
Lin W, Kovvali N, Carin L. Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation. Computer Physics Communications. 2006 Jul 15;175(2):78–85.
Lin, W., et al. “Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation.” Computer Physics Communications, vol. 175, no. 2, July 2006, pp. 78–85. Scopus, doi:10.1016/j.cpc.2006.02.006.
Lin W, Kovvali N, Carin L. Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation. Computer Physics Communications. 2006 Jul 15;175(2):78–85.
Journal cover image

Published In

Computer Physics Communications

DOI

ISSN

0010-4655

Publication Date

July 15, 2006

Volume

175

Issue

2

Start / End Page

78 / 85

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 46 Information and computing sciences
  • 08 Information and Computing Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences