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


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Lin, W; Kovvali, N; Carin, L

Published Date

  • July 15, 2006

Published In

Volume / Issue

  • 175 / 2

Start / End Page

  • 78 - 85

International Standard Serial Number (ISSN)

  • 0010-4655

Digital Object Identifier (DOI)

  • 10.1016/j.cpc.2006.02.006

Citation Source

  • Scopus