In order to transform the PDE and IPDE models into the required DAE model formulation, Diva employs the “method-of-lines” (MOL) approach for one space coordinate. The wide variety of distributed parameter models of chemical processes requires on one hand conventional discretization methods like, e.g., finite-difference schemes, and on the other hand more sophisticated methods to obtain reliable results in an acceptable computation time. One common feature of all advanced methods is the use of some type of adaptive strategy. In moving-grid methods, the adaptation concerns the positions of the grid points in the discretized spatial domain. Another approach of so-called high-resolution methods uses adaptive approximation polynomials. High-resolution methods are developed for hyperbolic conservation laws with steep moving fronts. Examples are essentially non-oscillatory (ENO) schemes [33] or the robust upwind κ-interpolation scheme [16].