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Optimization approximation with separable variables for the one‐way wave operator
Author(s) -
Chen JingBo,
Liu Hong
Publication year - 2004
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2004gl019429
Subject(s) - separable space , operator (biology) , mathematics , fast fourier transform , space (punctuation) , optimization problem , mathematical optimization , mathematical analysis , computer science , algorithm , biochemistry , chemistry , repressor , transcription factor , gene , operating system
An optimization approximation with separable variables for the one‐way wave operator is presented in this Letter. This new method approximates the one‐way wave operator by products of functions in space variables and functions in wave number variables by means of optimization approximation with separable variables. This approximation enables us to use FFT algorithm which is independent of space variables while suffering no problem of branch points present in the generalized‐screen method.