Classical methods such as linear multistep methods or Runge-Kutta schemes suffer from disadvantages that can be overcome by studying general linear schemes. Both Runge-Kutta methods and linear multistep schemes belong to this class as special cases, but there is plenty of room for new methods with improved properties.
This work presents both a detailed study of DAEs in the framework of integrated circuit design and a thorough analysis of general linear methods for these kind of equations. The construction and implementation of general linear methods for DAEs is discussed in detail.
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