This comprehensive account is the first book to cover the development of the Transmission-Line Modelling Method (TLM) since the early 1970's. It starts with basic transmission line theory and works through TLM discrete models of lumped components, including one-, two-, and three-dimensional problems. The emphasis is on electromagnetics, but other applications such as in thermal and acoustic problems are also covered, making this a valuable resource for practicing engineers as well as students of electrical engineering.