Combinatorial Optimization Approach to Optimal Differential-Algebraic Equations Modeling

数值模拟中出现的动力系统通常用微分代数方程（DAEs）来描述。为了提高数值模拟的精度，人们对数值求解方法进行了大量的研究。然而，准确性不仅取决于如何求解，还取决于求解什么。本研究提出了易于数值求解的DAEs的求解方法。

Dynamical systems which appear in numerical simulation are often described by differential-algebraic equations(DAEs). In order to improve accuracy of numerical simulation, a great deal of research has been made on numerical solution methods. However, accuracy depends not only on how to solve but also on what to solve. This research has developed methods to obtain DAEs which are easy to solve numerically.