EXTRA-ordinary Differential Equations: Attempts to an Analysis of Differential-algebraic Systems

[1]  C. W. Gear,et al.  Maintianing solution invariants in the numerical solution of ODEs , 1986 .

[2]  E. Griepentrog,et al.  Differential-algebraic equations and their numerical treatment , 1986 .

[3]  R. März On correctness and numerical treatment of boundary value problems in differential-algebraic equations , 1987 .

[4]  C. W. Gear,et al.  Simultaneous Numerical Solution of Differential-Algebraic Equations , 1971 .

[5]  W. Rheinboldt,et al.  A Geometric Treatment of Implicit Differential-Algebraic Equations , 1994 .

[6]  Roswitha März,et al.  Practical Lyapunov stability criteria for differential algebraic equations , 1994 .

[7]  C. W. Gear,et al.  ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS , 1984 .

[8]  V. Dolezal,et al.  Generalized solutions of semistate equations and stability , 1986 .

[9]  R. März On linear differential-algebraic equations and linearizations , 1995 .

[10]  René Lamour,et al.  How Floquet-theory applies to differential-algebraic equations , 1996 .

[11]  Roswitha März,et al.  Numerical methods for differential algebraic equations , 1992, Acta Numerica.

[12]  F. Takens Constrained equations; a study of implicit differential equations and their discontinuous solutions , 1976 .

[13]  M. Lentini,et al.  Conditioning and dichotomy in differential algebraic equations , 1990 .

[14]  C. Lubich,et al.  Linearly implicit extrapolation methods for differential-algebraic systems , 1989 .

[15]  L. Petzold Differential/Algebraic Equations are not ODE's , 1982 .

[16]  Roswitha März,et al.  Some new results concerning index-3 differential-algebraic equations , 1989 .