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- W1998006824 abstract "Fox, Henrici, and Moler made famous a method of particular solutions for computing eigenvalues and eigenmodes of the Laplacian in planar regions such as polygons. We explain why their formulation of this method breaks down when applied to regions that are insufficiently simple and propose a modification that avoids these difficulties. The crucial changes are to introduce points in the interior of the region as well as on the boundary and to minimize a subspace angle rather than just a singular value or a determinant. Similar methods may be used to improve other mesh-free algorithms for a variety of computational problems." @default.
- W1998006824 created "2016-06-24" @default.
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- W1998006824 date "2005-01-01" @default.
- W1998006824 modified "2023-09-27" @default.
- W1998006824 title "Reviving the Method of Particular Solutions" @default.
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- W1998006824 doi "https://doi.org/10.1137/s0036144503437336" @default.
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