Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...

Spectral problems in boundary value problems constitute a fundamental area of applied mathematics and mathematical physics, where the focus lies on determining eigenvalues and corresponding ...

SIAM Journal on Numerical Analysis, Vol. 52, No. 4 (2014), pp. 2027-2047 (21 pages) Two new two-grid algorithms are proposed for solving the Maxwell eigenvalue problem. The new methods are based on ...

Our aim is to prove one relation between characteristic determinant and norms of orthogonal eigenvectors of eigenvalue problem for fourth order differential operator equation.That relation as appears ...