The study of eigenvalue estimates in Riemannian Geometry is a dynamic area that bridges geometric analysis and spectral theory. Eigenvalue bounds not only characterise the intrinsic geometry of ...

This is a preview. Log in through your library . Abstract We propose and analyze a C° spectral element method for a model eigenvalue problem with discontinuous coefficients in the one dimensional ...

Since Lord Rayleigh conjectured that the disk should minimize the first eigenvalue of the Laplace-Dirichlet operator among all shapes of equal area more than a century ago, extremal eigenvalue ...

This is a preview. Log in through your library . Abstract Elastic structures consisting of many thin elements arranged periodically (such as grids and trusses) are common in applications. Using ...

Seminar for BSc and MSc Mathematics. Spectral geometry studies the relationship between geometric shapes and their spectra, which are the eigenvalues of certain geometric differential operators such ...