I'm assuming I'm not the only academic around here who can wax overly poetic about their own field when asked relatively innocent questions, but still, I apologize for the firehose, and appreciate the curiosity. :P
On Tue, Dec 29, 2020 at 1:52 PM Brandon Wilson <pandamath...@gmail.com> wrote: > Oscar, > > Yes, exactly! > > Standard ODE integrators like Runge-Kutta derive the equations of motion > first, then discretize the system. > > Geometric integrators discretize the Lagrangian first, then form the > resulting system to be solved. They have been shown to maintain stability > and accuracy with larger time steps. The standard explanation is that this > strategy must preserve more of the geometric structure of the original > problem. > > Nonholonomic integrators are just the application of these geometric > integrators to the nonholonomic case, with the principal > difficulty/innovation being that the discretization of the Lagrangian and > constraint equations have to "match." > > Brandon > > On Tue, Dec 29, 2020 at 1:14 PM Oscar Benjamin <oscar.j.benja...@gmail.com> > wrote: > >> Hi Brandon, >> >> That sounds great. Looking forward to working with you too. >> >> I don't know what non-holonomic integrators are. Do you mean >> non-holonomic in the mechanics sense? >> >> Oscar >> >> On Tue, 29 Dec 2020 at 00:36, Brandon Wilson <pandamath...@gmail.com> >> wrote: >> > >> > Hey all, >> > >> > I am Brandon Wilson. I am a community college professor teaching math >> and computer science in Wyoming, while finishing up a PhD in Engineering >> and Applied Science through Idaho State University. >> > >> > I have previously earned a Masters in Mathematics from Brigham Young >> University. My work has fit broadly into differential geometry, and more >> specifically into minimal surfaces, optimal control, general relativity, >> and numerical methods, depending on the project. >> > >> > I have been working with Python for about 4 years. My dissertation is >> on a particular class of numerical methods called non-holonomic >> integrators, and I am using Sympy in a proof of concept package to abstract >> the user from the method. >> > >> > I look forward to working with you folks, >> > Brandon Wilson (Mathbone) >> > >> > -- >> > You received this message because you are subscribed to the Google >> Groups "sympy" group. >> > To unsubscribe from this group and stop receiving emails from it, send >> an email to sympy+unsubscr...@googlegroups.com. >> > To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/341e1bfb-a42c-4331-a9dd-367352c4bc57n%40googlegroups.com >> . >> >> -- >> You received this message because you are subscribed to a topic in the >> Google Groups "sympy" group. >> To unsubscribe from this topic, visit >> https://groups.google.com/d/topic/sympy/FA7Hq7ULtlQ/unsubscribe. >> To unsubscribe from this group and all its topics, send an email to >> sympy+unsubscr...@googlegroups.com. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/CAHVvXxQtt2u4tWhV3fOTo4DH%3D7WeKXUojDZ0jXC7wQrWs8n4Cg%40mail.gmail.com >> . >> > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAGoUp6dLZsA%2BPvkwz%3DC9ADV2YpUpbdPFhFnqNshX%3D-Kmds6wAQ%40mail.gmail.com.
