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math.NA2012★ 1 cited
Verified eigenvalue evaluation for Laplacian over polygonal domain of arbitrary shape
Xuefeng Liu, Shin'ichi Oishi
The finite element method(FEM) is applied to bound leading eigenvalues of Laplace operator over polygonal domain. Compared with classical numerical methods, most of which can only…
nlin.CD2012★ 4 cited
Space guaranteeing a primitive chaotic behavior
Yoshihito Ogasawara, Shin'ichi Oishi
This study describes such a situation that a Cantor set emerges as a result of the exploration of sufficient conditions for the property which is generalized from fundamental chaot…