Consistent Extensions of the Symplectic Euler Method for a Class of Overdetermined Daes
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چکیده
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 to be consistent. Our results are confirmed numerically on a simple test problem.
منابع مشابه
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تاریخ انتشار 2008