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 This paper presents the natural framework to residual based a posteriori error estimation of some cell ...

In the p-version of the finite element method the trial and test function spaces consist of piecewise polynomial functions of sufficiently high order on a coarse partition of the domain into a few ...

Find the forces on the object. Find the new momentum (based on the force and the small time interval) Find the new position (based on the velocity and time interval). Simple. And it even works most of ...

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