Are differential-algebraic equations the right tool for the object-oriented modeling of physical systems?

Abstract

Are differential-algebraic equations the right tool for the object-oriented modeling of physical systems? One may say yes, given all the empirical evidence. However, this paper offers a brief reasoning from a fundamental information-oriented perspective. The findings suggest that there are inherent flaws concerning the computational realization of DAEs in implicit form and that extensions are needed or alternatives should be investigated.