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 ...

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...

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 ...

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

Data collected for the production of structural business statistics consist of a large number of numerical variables, with many mathematical relations between them. These relations are specified in ...

This is a preview. Log in through your library . Abstract The concepts of convergence, consistency and stability are given very general definitions that are applicable to any numerical computation.