Differential-algebraic equations: a projector based analysis

Abstract

1. Linear constant coefficient DAEs, 2. Linear DAEs with variable coefficients, 3. Nonlinear DAEs, 4. Analysis, 5. Numerical integration, 6. Stability issues, 7. Computational linear algebra aspects, 8. Aspects of the numerical treatment of higher index DAEs, 9. Quasi-regular DAEs, 10. Nonregular DAEs, 11. Minimization with constraints described by DAEs, 12. Abstract differential-algebraic equations