Minisymposium (ID: SS-NMDAEA)

Numerical methods for differential-algebraic equations and applications

Andreas Griewank (Humbold University, Germany), Ned Nedialkov (McMaster University, Canada), and John Pryce (Cardiff University, UK)

Many physical systems are naturally described by systems of differential-algebraic equations (DAEs). This minisymposium is devoted to recent developments in methods and software for DAEs.

Topics include index determination, symbolic-numeric techniques, numerical integration schemes, and in particular schemes for high-index DAEs; schemes for structural analysis and integration using automatic differentiation. Methods for validated solution of ordinary differential equations by differential inequalities/inclusions are of interest, and especially extension of such methods to handle DAEs.