Eigenvalue problems on Riemannian manifolds lie at the heart of modern geometric analysis, bridging the gap between differential geometry and partial differential equations. In this framework, the ...

Eigenvalue problems are fundamental to understanding the spectral characteristics of photonic and plasmonic systems. These problems involve determining the intrinsic resonant frequencies and modes of ...

This paper takes another look at the convergence analysis of the Arnoldi procedure for solving non-Hermitian eigenvalue problems. Two main viewpoints are put in contrast. The first exploits the ...

Taiwanese Journal of Mathematics, Vol. 26, No. 5 (October 2022), pp. 1045-1068 (24 pages) We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on ...