A Note on the Symplectic Euler Method for Daes with Holonomic Constraints
نویسندگان
چکیده
We consider the symplectic Euler method for Hamiltonian systems with holonomic constraints and its generalizations to a class of overdetermined differential-algebraic equations (ODAEs) which are nonlinear in the algebraic variables. It is shown that a straightforward generalization of the symplectic Euler method is inconsistent. A different non-trivial generalization of the symplectic Euler method is then defined and shown to be consistent. Our results are confirmed numerically on a simple test problem.
منابع مشابه
Consistent Extensions of the Symplectic Euler Method for a Class of Overdetermined Daes
We consider the symplectic Euler method for Hamiltonian systems with holonomic constraints and its generalization to a class of overdetermined differential-algebraic equations (ODAEs). It is shown that a natural extension of the symplectic Euler method as a SPARK method is inconsistent for ODAEs which are nonlinear in the algebraic variables. A different non-trivial extension is given and shown...
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