ODAE methods for the numerical solution of Euler-Lagrange equations

Applied Numerical Mathematics

Volumn 10, Issue 5, 1992, Pages 397-413

  Petzold, Linda R ^a   Potra, Florian A ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

differential algebraic equations; Euler Lagrange equations; multibody systems; overdetermined differential algebraic equations

Indexed keywords

EID: 38249010579     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(92)90059-M     Document Type: Article

References (23)

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5. Differential-algebraic equation index transformations
6. Automatic integration of the Euler–Lagrange equations with constraints
7. Implicit numerical integration of constrained equations of motion via generalized coordinate partitioning
8. Some notes on perturbations of differential-algebraic equations
9. Extrapolation integrators for constrained multibody systems
10. Differential-geometric techniques for solving differential algebraic equations
11. On the numerical solution of the Euler–Lagrange equations
12. Implicit integration for Euler–Lagrange equations via tangent space parameterization
13. On the existence and uniqueness of solutions of nonlinear semi-implicit algebraic equations
14. An order n formulation for robotic systems
15. Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems