Sparsifying preconditioner for soliton calculations
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© 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.
Published Version (Please cite this version)10.1016/j.jcp.2016.03.061
Publication InfoLu, Jianfeng; & Ying, L (2016). Sparsifying preconditioner for soliton calculations. Journal of Computational Physics, 315. pp. 458-466. 10.1016/j.jcp.2016.03.061. Retrieved from http://hdl.handle.net/10161/14108.
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Associate 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.