# Using multiple-precision arithmetic to prevent low-frequency breakdowns in the diagonalization of the green's function

2014-08-28
Multiple-precision arithmetic (MPA) is used to prevent low-frequency breakdowns in the diagonalization of the Green's function that is required to implement the multilevel fast multipole algorithm (MLFMA). The breakdown problem is considered at a numerical level, where rounding errors are reduced by increasing the precision as much as required. Using MPA seems to provide a direct solution to low-frequency breakdowns of the standard diagonalization, which may lead to straightforward implementations of broadband MLFMA.

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Citation Formats
Ö. S. Ergül, “Using multiple-precision arithmetic to prevent low-frequency breakdowns in the diagonalization of the green’s function,” 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55826. 