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The newmark numerical integration method is a very practical tool for solving systems of dynamic equations. This method involves dividing the time interval into discrete steps and then computing the solution at each step using a recursive formula that takes into account the previous solution and its derivatives. The key advantage of this method is that it is numerically stable, meaning that it produces accurate results even when the time step is relatively large. Additionally, the newmark method is widely used in engineering and physics because of its versatility and efficiency. Therefore, it is highly recommended that researchers and practitioners become familiar with this method and its various applications in order to fully leverage its potential.