Sparsifying preconditioner for soliton calculations

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2016-06-15

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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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Published Version (Please cite this version)

10.1016/j.jcp.2016.03.061

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Lu, J, and L Ying (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.

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Lu

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, machine learning, and other related fields.

More specifically, his current research focuses include:
High dimensional PDEs; generative models and sampling methods; control and reinforcement learning; electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis.


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