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A model for simulating the dynamic behavior of gas distribution pipeline networks is developed. A new implicit integration method and a special crossing-branch method are presented. The first method can accommodate systems exhibiting both slow and fast responses and prevents numerical oscillations in the solution. In the crossing-branch method, the solution of very large systems described by sparse matrices is provided, based upon special properties of the matrix. On the basis of these methods, a universal model for simulating the network of any structure of arbitrary size is created. Examples of model testing and use are given.