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 ...

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

This is a preview. Log in through your library . Abstract New error estimates for eigenvalues of symmetric integral equations are obtained. These estimates are ...

Due to the chaotic nature of the atmosphere, weather forecasts, even with ever improving numerical weather prediction models, eventually lose all skill. Meteorologists have a strong desire to better ...

This is a preview. Log in through your library . Abstract The degenerate parabolic equation $$\frac{\partial u}{\partial t} = \nabla \cdot (|u|^\nu\nabla u), \nu ...