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Title: Sparsifying preconditioner for soliton calculations

Journal Article · · Journal of Computational Physics
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Sponsoring Organization:
USDOE
Grant/Contract Number:
DMS-1312659; DMS-1454939; DMS-1328230; DMS-1521830; FC02-13ER26134/DE-SC0009409
OSTI ID:
1459031
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 315 Journal Issue: C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (12)

Spectral renormalization method for computing self-localized solutions to nonlinear systems journal January 2005
Ten years of nonlinear optics in photonic crystal fibre journal February 2009
Nested Dissection of a Regular Finite Element Mesh journal April 1973
Two-dimensional photonic band structures journal January 1991
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems journal July 1986
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations journal January 2004
Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures journal January 2015
Photonic-band-structure calculation of material possessing Kerr nonlinearity journal October 1995
Sparsifying Preconditioner for the Lippmann--Schwinger Equation journal January 2015
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity journal October 2007
Two-Dimensional Optical Lattice Solitons journal November 2003
Enhancement of nonlinear effects using photonic crystals journal April 2004

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