Regular solutions of nonlinear differential-algebraic equations and their numerical determination

Differential-algebraic systems as differential equations on manifolds

Werner C. Rheinboldt · Mathematics of Computation · 1984 · 168 citations · Full text

Natural Sciences, Autonomous Systems, Mathematics +14

Solvability of General Differential Algebraic Equations

Stephen L. Campbell, E. Griepentrog · SIAM Journal on Scientific Computing · 1995 · 138 citations

Natural Sciences, Computer Science, Mathematics +9

A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations

Stephen L. Campbell · SIAM Journal on Mathematical Analysis · 1987 · 132 citations

Natural Sciences, Mathematics, Computational Mechanics +14

A Geometric Treatment of Implicit Differential-Algebraic Equations

Patrick J. Rabier, Werner C. Rheinboldt · Journal of Differential Equations · 1994 · 130 citations

Natural Sciences, Mathematics, Computational Geometry +13

Canonical forms for linear differential-algebraic equations with variable coefficients

Peter Kunkel, Volker Mehrmann · Journal of Computational and Applied Mathematics · 1994 · 95 citations

Natural Sciences, Mathematics, Algebra +8