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- W2005449242 abstract "A numerically efficient Fredholm formulation of the billiard problem is presented. The standard solution in the framework of the boundary integral method in terms of a search for roots of a secular determinant is reviewed first. We next reformulate the singularity condition in terms of a flow in the space of an auxiliary one-parameter family of eigenproblems and argue that the eigenvalues and eigenfunctions are analytic functions within a certain domain. Based on this analytic behavior we present a numerical algorithm to compute a range of billiard eigenvalues and associated eigenvectors by only two diagonalizations." @default.
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- W2005449242 date "2007-10-31" @default.
- W2005449242 modified "2023-09-27" @default.
- W2005449242 title "An efficient Fredholm method for the calculation of highly excited states of billiards" @default.
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- W2005449242 doi "https://doi.org/10.1088/1751-8113/40/46/004" @default.
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