Open AccessOn the completeness and the linear dependence of the Cartesian multipole series in representing the solution to the Helmholtz equation
Author(s) -
Yangfan Liu,
J. Stuart Bolton
Publication year - 2016
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.4959596
Subject(s) - multipole expansion , cartesian coordinate system , series (stratigraphy) , helmholtz equation , spherical multipole moments , fast multipole method , completeness (order theory) , mathematical analysis , mathematics , helmholtz free energy , dipole , physics , geometry , quantum mechanics , paleontology , biology , boundary value problem
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