Roswitha März
Preprint series:
Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),
MSC 2000
- 34A09 Implicit equations, differential-algebraic equations
-
34A34 Nonlinear equations and systems, general
Abstract
Differential algebraic equations with properly stated leading term are equations of the form A(x(t),t)(d(x(t),t))'+b(x(t),t)=0 with in some sense well-matched coefficients. Systems resulting from the modified nodal analysis (MNA) in circuit simulation promptly fit into this form.
Recent results concerning solvability and numerical treatment of those equations are discussed. An index notion that works via linearization is given. This allows for index criteria just in terms of the coefficients A,d,b and their first partial derivatives, no further derivative arrays are used.
Keywords:
differential algebraic equations, tractability index, index monitor, modified nodal analysis