On the optimal scaling of index three DAEs in multibody dynamics

Automatic integration of Euler-Lagrange equations with constraints

C. W. Gear, Benedict Leimkuhler, Gopal Gupta · Journal of Computational and Applied Mathematics · 1985 · 423 citations

Natural Sciences, Mathematics, Mechanical Engineering +13

Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications

Linda Petzold, Per Lötstedt · SIAM Journal on Scientific and Statistical Computing · 1986 · 125 citations

Natural Sciences, Mathematics, Physics +17

Time‐Step‐Size‐Independent Conditioning and Sensitivity to Perturbations in the Numerical Solution of Index Three Differential Algebraic Equations

Carlo L. Bottasso, Olivier A. Bauchau, Alberto Cardona · SIAM Journal on Scientific Computing · 2007 · 48 citations · Full text

Natural Sciences, Mathematics, Mechanical Engineering +15

The Embedded Projection Method: A general index reduction procedure for constrained system dynamics

M. Borri, Lorenzo Trainelli, Alessandro Croce · Computer Methods in Applied Mechanics and Engineering · 2005 · 29 citations

Engineering, Mathematics, Systems Engineering +16