A Discussion on Time Integrators

Hi to all :

This is my first blog entry . And I have only recently started my Research work (just 2 months) .So please bear with me my lack of thorough knowledge in the topic .

What I want to know is "what is the impact of the papers on Asynchronous Variational Integrators and Variational Integrators (published in 2003) ?" I mean what I was wondering is given that they have so many beneficial properties , how many researcher have actually started using this technique of time integration in their research .

I am currently doing litreature survey on Multi Time Scaling technique ... and the comparison between Subcycling methods and Asynchronous Variational Integrator is obvious . Could some of you who has had experience with these techniques share your experience with me .

Thanks alot .Waiting eagerly for your comment .