Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

This is a preview. Log in through your library . Abstract A stochastic collocation method for solving linear parabolic partial differential equations with random coefficients, forcing terms, and ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

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 Boundary perturbation methods, in which the deviation of the problem geometry from a simple one is taken as the small quantity, have received ...

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 ...