This article reviews linear instability analysis of flows over or through complex two-
dimensional (2D) and 3D geometries. In the three decades since it first appeared in the …

Background: The medicinal use of products made by bees is called apitherapy. Apitherapy
has become popular as an alternative treatment in recent years. Pharmaceutical properties …

In this study, we investigated the ionization energy of the lowest bound-state donor-impurity
in GaAs quantum disks under external electric and magnetic fields. We also examined its …

Polynomial eigenvalue problems are often found in scientific computing applications. When
the coefficient matrices of the polynomial are large and sparse, usually only a few eigenpairs …

The performance of some nonlinear eigenvalue problem solvers can be increased by setting
parameters that are based on rough estimates of the desired eigenvalues. In the present …

In the context of large-scale eigenvalue problems, methods of Davidson type such as Jacobi-
Davidson can be competitive with respect to other types of algorithms, especially in some …

The numerical simulation of the band structure of three-dimensional dispersive metallic
photonic crystals with face-centered cubic lattices leads to large-scale nonlinear eigenvalue …

In this paper, we present a two-level overlap** hybrid domain decomposition method for
solving the large scale discrete elliptic eigenvalue problems. In order to eliminate the …

We consider a quintic polynomial eigenvalue problem arising from the finite volume
discretization of a quantum dot simulation problem. The problem is solved by the Jacobi …

Based on the effective-mass approximation, the effects of external electric field and laser
radiation on the binding energy and Stark shifts of electronic energy levels of a system …