1. Mathematics Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720
2. Department of Mathematics, University of California, Berkeley, CA 94720
3. Materials Science and Engineering Group, PPG Industries Coatings Innovation Center, Allison Park, PA 15101
4. Process Engineering Group, PPG Industries Springdale Research, Springdale, PA 15144
5. Protective Coatings Formulation Science, PPG Industries Coatings Innovation Center, Allison Park, PA 15101