Differential-Algebraic Equations: A Projector Based Analysis

Dr. Rene Lamour, Humbold University of Berlin, Department of Mathematics, Germany Prof. Dr. Roswitha Marz, Humbold University of Berlin, Department of Mathematics, Germany Prof. Dr. Caren Tischendorf, University of Cologne, Mathematical Institute, Germany

• Notations.- Introduction.- Part I. Projector based approach.- 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients.- 3 Nonlinear DAEs.- Part II. Index-1 DAEs: Analysis and numerical treatment.- 4 Analysis.- 5 Numerical integration.- 6 Stability issues.- Part III. Computational aspects.- 7 Computational linear algebra aspects.- 8 Aspects of the numerical treatment of higher index DAEs.- Part IV. Advanced topics.- 9 Quasi-regular DAEs.- 10 Nonregular DAEs.- 11 Minimization with constraints described by DAEs.- 12 Abstract differential algebraic equations.- A. Linear Algebra – Basics.-.B. Technical Computations.- C Analysis.- References.- Index.

From the reviews: "This book is devoted to the projector-based analysis and numerical treatment of differential-algebraic equations (DAEs), which is a research direction established by Roswitha Marz (Humboldt University, Berlin, Germany) about 30 years ago. ... The book presents a rigorous and detailed analytical treatment of DAEs. ... This nicely written book is an excellent textbook addressed to graduate students and researchers, who are interested in DAEs. It is also recommendable for people working on various DAE-related industrial applications." (Vu Hoang Linh, zbMATH, Vol. 1276, 2014)