## Numerical methods for spectral problems: theory and applications

P000015

### Explicit lower eigenvalue bounds of differential operators

*Xuefeng LIU (Niigata University)

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 Related papers 1. Xuefeng Liu, A framework of verified eigenvalue bounds for self-adjoint differential operators, Applied Mathematics and Computation, 267, pp.341–355, 2015. 2. Xuefeng Liu and Shin'ichi Oishi, Verified eigenvalue evaluation for Laplacian over polygonal domain of arbitrary shape, SIAM J. Numer. Anal., 51(3), 1634-1654. Keywords Lower eigenvalue bounds