Sparsifying preconditioner for soliton calculations
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1459031
- Grant/Contract Number:
- DMS-1312659; DMS-1454939; DMS-1328230; DMS-1521830; FC02-13ER26134/DE-SC0009409
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Name: Journal of Computational Physics Journal Volume: 315 Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Lu, Jianfeng, and Ying, Lexing. Sparsifying preconditioner for soliton calculations. United States: N. p., 2016.
Web. doi:10.1016/j.jcp.2016.03.061.
Lu, Jianfeng, & Ying, Lexing. Sparsifying preconditioner for soliton calculations. United States. https://doi.org/10.1016/j.jcp.2016.03.061
Lu, Jianfeng, and Ying, Lexing. Wed .
"Sparsifying preconditioner for soliton calculations". United States. https://doi.org/10.1016/j.jcp.2016.03.061.
@article{osti_1459031,
title = {Sparsifying preconditioner for soliton calculations},
author = {Lu, Jianfeng and Ying, Lexing},
abstractNote = {},
doi = {10.1016/j.jcp.2016.03.061},
journal = {Journal of Computational Physics},
number = C,
volume = 315,
place = {United States},
year = {Wed Jun 01 00:00:00 EDT 2016},
month = {Wed Jun 01 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
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https://doi.org/10.1016/j.jcp.2016.03.061
https://doi.org/10.1016/j.jcp.2016.03.061
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Cited by: 3 works
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Works referenced in this record:
Spectral renormalization method for computing self-localized solutions to nonlinear systems
journal, January 2005
- Ablowitz, Mark J.; Musslimani, Ziad H.
- Optics Letters, Vol. 30, Issue 16
Ten years of nonlinear optics in photonic crystal fibre
journal, February 2009
- Dudley, John M.; Taylor, J. Roy
- Nature Photonics, Vol. 3, Issue 2
Nested Dissection of a Regular Finite Element Mesh
journal, April 1973
- George, Alan
- SIAM Journal on Numerical Analysis, Vol. 10, Issue 2
Two-dimensional photonic band structures
journal, January 1991
- Plihal, M.; Shambrook, A.; Maradudin, A. A.
- Optics Communications, Vol. 80, Issue 3-4
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
journal, July 1986
- Saad, Youcef; Schultz, Martin H.
- SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
journal, January 2004
- Pelinovsky, Dmitry E.; Stepanyants, Yury A.
- SIAM Journal on Numerical Analysis, Vol. 42, Issue 3
Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures
journal, January 2015
- Ying, Lexing
- Multiscale Modeling & Simulation, Vol. 13, Issue 2
Photonic-band-structure calculation of material possessing Kerr nonlinearity
journal, October 1995
- Tran, P.
- Physical Review B, Vol. 52, Issue 15
Sparsifying Preconditioner for the Lippmann--Schwinger Equation
journal, January 2015
- Ying, Lexing
- Multiscale Modeling & Simulation, Vol. 13, Issue 2
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
journal, October 2007
- Lakoba, T. I.; Yang, J.
- Journal of Computational Physics, Vol. 226, Issue 2
Two-Dimensional Optical Lattice Solitons
journal, November 2003
- Efremidis, Nikolaos K.; Hudock, Jared; Christodoulides, Demetrios N.
- Physical Review Letters, Vol. 91, Issue 21
Enhancement of nonlinear effects using photonic crystals
journal, April 2004
- SoljaČiĆ, Marin; Joannopoulos, J. D.
- Nature Materials, Vol. 3, Issue 4