This Special Part of the ANZIAM Journal (Electronic Supplement) contains the peer refereed articles from the 13th Biennial Computational Techniques and Applications Conference (CTAC2006) held at James Cook University in July 2006. The proceedings editors are Wayne Read and A. J. Roberts. The CTAC series of conferences is held under the auspices of the Computational Mathematics Group of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) division of the Australian Mathematics Society. They provide a forum for scientists, engineers, and mathematicians interested in the development of computational techniques and their application to problems of practical importance.