A new method combined with both CIP (constrained interpolation profile) method and HOC (high order compact) method was advanced to numerically simulate the propagation problems of nonlinear waves. The high-order accuracy of the method can be obtained by means of the extremely small stencils. Some examples were introduced and the numerical results show the excellent effect of this method.%结合CIP方法和高阶紧致方法,提出了紧致型CIP方法,并利用该方法对非线性波进行数值模拟.该种方法采用小模板得到高精度的格式,通过3个算例可以看出其优越性.
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