Design Principles of Reusable Software Components
for the Numerical Solution of PDE Problems
Georg Bader and Guntram Berti
Institut f"ur Mathematik, TU Cottbus
Universit"atsplatz 3-4, D-03044 Cottbus
We first present some general considerations about software for
Scientific Computing and argue in favor of a component-oriented approach.
Algorithmic components are identified as rewarding but also
demanding targets for reuse by means of generic programming.
In the second part we examine in more detail the interaction of
algorithms and grid data structures, and show how numerical procedures
can be formulated in a way that is independent of concrete grid implementations.
Finally, extensions of these grid-related concepts are introduced that ease the
development of parallel computing software for the numerical solution of PDEs.