Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...
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 ...
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 ...