Sparsifying preconditioner for soliton calculations
Abstract
© 2016 Elsevier Inc.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.
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Journal articlePermalink
https://hdl.handle.net/10161/14108Published Version (Please cite this version)
10.1016/j.jcp.2016.03.061Publication Info
(2016). Sparsifying preconditioner for soliton calculations. Journal of Computational Physics, 315. pp. 458-466. 10.1016/j.jcp.2016.03.061. Retrieved from https://hdl.handle.net/10161/14108.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.
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