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Utilities rely on transient analysis of large pipe networks to properly assess the potential level of intrusion associated with negative pressure and its effect on disinfectant residual efficiency. However, the computational demand for large pipe networks is significant, and computational effort and accuracy of solution are interdependent. This research analyzed the numerical accuracy of solution and computational efficiency of two popular methods, the method of characteristics (MOC) and the wave characteristic method (WCM). Results indicated that the WCM is a much more efficient method for modeling transients, without sacrificing accuracy. The WCM constitutes a feasible tool that utilities can use to conduct essential transient analysis and address serious low-pressure transient problems and surge protection issues. For water providers, transient modeling is a "must do" item to safeguard drinking water quality within their distribution systems. Now transient modeling is also a "can do" task, using the efficient and time-saving method described here. Includes 31 references, tables, figures.