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众所周知,马斯京根法是一个应用非常广泛的线性汇流方法,但在实时预报中却难以应用。其原因在于:马斯京根法(包括分段演算方法)的数学形式不适合于实时预报的要求。实时预报一般要求一个线性系统的动态方程能够写成如下的向量形式: X(t+1)=ΦX(t)+BU (1) 式中:Φ、B为状态转移矩阵和输入分配矩阵;X为状态向量;U为输入向量。
As we all know, Muskingum method is a widely used method of linear convergence, but it is difficult to apply in real-time prediction. The reason is that the mathematical form of the Muskingum method (including the method of piecewise calculus) is not suitable for the requirements of real-time forecasting. Real-time prediction generally requires that the dynamic equation of a linear system be written in the following vector form: X (t + 1) = ΦX (t) + BU (1) where Φ and B are the state transition matrix and the input distribution matrix; State vector; U is the input vector.