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Numerical Computation of Waves at High Frequencies by an Iterated WKB‐Method
Author(s) -
Alber H. D.,
Leis R.
Publication year - 1984
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670060133
Subject(s) - wkb approximation , mathematics , iterated function , kernel (algebra) , operator (biology) , computation , series (stratigraphy) , simple (philosophy) , neumann series , mathematical analysis , numerical analysis , pure mathematics , algorithm , physics , quantum mechanics , paleontology , biochemistry , chemistry , philosophy , epistemology , repressor , biology , transcription factor , gene
An integral operator is defined, which allows to solve the equationby Neumann series for sufficiently large k > 0. The kernel is constructed by a modification of the WKB‐method. This kernel is so simple that the operator can be used effectively for numerical calculations. Numerical results are discussed.