This is a set of notes developed by Prof. Jeff Trinkle. Contact and friciton modelling is different from what game community using. The note is quite clear and its numerical example is illustrative. I hope it would help you understand Stewart-Trinkle, Anitescu-Potra time stepper.
The link:
http://www.cs.rpi.edu/~nguyeb2/docs/rigid_body_lcp.pdf
Thanks
Rigid Body Simulation using LCP
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