BDF Methods for DAEs in Multi-body Dynamics: Shortcomings and Improvements
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If backward differentiation formula (BDF) methods are used to solve sets of differential-algebraic equations (DAEs), problems may arise if the step size (h), becomes very small. The step size may decrease for a variety of reasons, but the most difficult problem to solve involves a sudden change, or (near) discontinuity in any of the system variables.
[1] C. W. Gear,et al. The automatic integration of ordinary differential equations , 1971, Commun. ACM.
[2] Per Lötstedt,et al. Numerical solution of nonlinear differential equations with algebraic contraints II: practical implications , 1986 .
[3] Edward J. Haug,et al. Ill‐Conditioned equations in kinematics and dynamics of machines , 1988 .