Differential-algebraic equations (DAEs) serve as a critical framework in mathematical modelling by integrating both differential and algebraic components to represent systems with inherent constraints ...

SIAM Journal on Numerical Analysis, Vol. 29, No. 6 (Dec., 1992), pp. 1694-1715 (22 pages) This paper deals with the relation between differential/algebraic equations (DAEs) and certain stiff ODEs and ...

A pioneering study presents a multiscale differential-algebraic neural network (MDANN) that advances the field of dynamical system learning. This innovative method adeptly forecasts system behaviors ...

Based on the theory of differential equations on manifolds, existence and uniqueness results are proved for a class of mixed systems of differential and algebraic equations as they occur in various ...