2. Numerical treatment of a system of algebraic-differential equations
2.1 Characterization of systems of algebraic-differential equations: the index concept
On the pendulum example with the (5) form of the equations, two successive derivations of the linking equation yield the canonical first-order system. This system is always algebraic-differential, since the derivative of λ is not present in these equations. If we now introduce the expressions for the derivatives
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Numerical treatment of a system of algebraic-differential equations
References
- (1) - BAUMGARTE (J.) - Stabilization of constraints and integrals of motion in dynamical systems. - In : Proceedings of the NATO ASI on Computer Aided Analysis and Optimization of Mechanical Systems Dynamics, Iowa city/USA, (1-12 août 1983), p. 1-16 (1984).
- (2) - GARCÍA DE JALÓN (J.), BAYO (E.) - Kinematic and...
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