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多步块格式是一类新的一般线性方法,在求解微分-代数方程的过程中不会出现精度降低现象。研究了多步块格式的构造方法,精度条件及具有Runge-Kutta稳定性的多步块格式,多步块格式具有刚性精确的优点,且级精度与格式精度相等。构造了具有Runge-Kutta稳定性的2级和3级多步块格式,具有L-稳定性。数值算例证实多步块格式在求解微分-代数方程不会精度降低。“,”The multistep block methods are a new class of general linear methods,and the methods solve the differential-algebraic equations with no order reduction.The construction of the multistep block methods was described,and order condition and stability was studied.The multistep block methods with Runge-Kutta stability were also constructed.The multistep block methods have many nice properties,for example,stiffly accurate,and stage order is equal to order of method.At last the methods of 2-stage and 3-stage with Runge-Kutta stability were constructed,and they have the property of L-stability.The numerical example shows that the multistep block methods can solve the differential-algebraic equations without the order reduction.