1. Programming Tips: While Loops and Comparisons 1Daniel Baur / Numerical Methods for Chemical Engineerse Daniel Baur ETH Zurich, Institut für Chemie- und Bioingenieurwissenschaften ETH Hönggerberg / HCI F128 – Zürich E-Mail: daniel.baur@chem.ethz.ch http://www.morbidelli-group.ethz.ch/education/index

2. While Loops with limited Iterations In order to keep a while loop from iterating forever, use one of the following two schemes: 2Daniel Baur / Numerical Methods for Chemical Engineerse

3. Comparing Entire Vectors and Matrices The easiest way to compare two vectors or matrices is to do it directly: 3Daniel Baur / Numerical Methods for Chemical Engineerse

4. Addendum: Implicit Trapezoid Method If the Jacobian matrix is constant, there is no need to solve linear systems in the iteration equations: Where A can be calculated once using A = (I – h/2*J) \ (I + h/2*J); A = (I – h/2*J) \ (I + h/2*J); 4Daniel Baur / Numerical Methods for Chemical Engineerse