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Sparsifying preconditioner for soliton calculations

Publication ,  Journal Article
Lu, J; Ying, L
Published in: Journal of Computational Physics
June 15, 2016

We develop a robust and efficient method for soliton calculations for nonlinear Schrödinger equations. The method is based on the recently developed sparsifying preconditioner combined with Newton's iterative method. The performance of the method is demonstrated by numerical examples of gap solitons in the context of nonlinear optics.

Duke Scholars

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Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

June 15, 2016

Volume

315

Start / End Page

458 / 466

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Lu, J., & Ying, L. (2016). Sparsifying preconditioner for soliton calculations. Journal of Computational Physics, 315, 458–466. https://doi.org/10.1016/j.jcp.2016.03.061
Lu, J., and L. Ying. “Sparsifying preconditioner for soliton calculations.” Journal of Computational Physics 315 (June 15, 2016): 458–66. https://doi.org/10.1016/j.jcp.2016.03.061.
Lu J, Ying L. Sparsifying preconditioner for soliton calculations. Journal of Computational Physics. 2016 Jun 15;315:458–66.
Lu, J., and L. Ying. “Sparsifying preconditioner for soliton calculations.” Journal of Computational Physics, vol. 315, June 2016, pp. 458–66. Scopus, doi:10.1016/j.jcp.2016.03.061.
Lu J, Ying L. Sparsifying preconditioner for soliton calculations. Journal of Computational Physics. 2016 Jun 15;315:458–466.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

June 15, 2016

Volume

315

Start / End Page

458 / 466

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences