求解指标1的微分代数方程组的一类新方法

摘要

给出求解指标1的微分代数方程组的一类新的计算方法．将微磁学仿真的方法推广到求解微分代数方程组，并给出方法的收敛性和相容性分析．利用与伴随法相复合的方法，提高方法的收敛阶．并将方法应用于晶体管放大器的模型中．数值实验表明方法是有效的．%In this paper, a new class of methods for solving the index-1 differential-algebraic equations are prop- osed. The methods are the extensions of gauss-seidel method to DAEs. In order to increase the convergence order, the composition with the adjoint method is provided and then the convergence of the composition method is given. The numerical tests applied to problems from an amplifier and a pendulum show the algorithms are feasible.