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 ...

We discuss the inexact two-grid methods for solving eigenvalue problems, including both partial differential and integral equations. Instead of solving the linear system exactly in both traditional ...

SIAM Journal on Numerical Analysis, Vol. 49, No. 5/6 (2011), pp. 1860-1874 (15 pages) Transmission eigenvalues have important applications in inverse scattering theory. They can be used to obtain ...

Real-life engineering problems are often subject to significant parameter uncertainties. Including such uncertainties in the underlying mathematical model results in a multiparametric problem, in ...

A diverse group of scientists, including sociologists, biologists, economists, physicists, engineers, and applied mathematicians are interested in understanding how network topology influences ...