Francesco, I'm prepping a new course I teach at TU Delft in multibody dynamics and one week is about numerical integration. I'll try things out when I'm working on those lessons.
Jason moorepants.info +01 530-601-9791 On Fri, Oct 1, 2021 at 9:29 AM Francesco Biscani <bluesca...@gmail.com> wrote: > Hi Jason, > > cheers! The interoperability with SymPy and its mechanics module is a work > in progress, so please let me know what you think we could improve on. > > Kind regards, > > Francesco. > > On Fri, 1 Oct 2021 at 09:12, Jason Moore <moorepa...@gmail.com> wrote: > >> Hi, >> >> Thanks for sharing. I'll try it out with some other mechanics problems. >> Looks nice! >> >> Jason >> moorepants.info >> +01 530-601-9791 >> >> >> On Wed, Sep 29, 2021 at 11:23 PM Francesco Biscani <bluesca...@gmail.com> >> wrote: >> >>> Hello, >>> >>> we just released the latest version of our Taylor integrator heyoka.py: >>> >>> https://github.com/bluescarni/heyoka.py >>> >>> heyoka.py is an implementation of Taylor's method for the numerical >>> integration of systems of ODEs based on automatic differentiation and >>> just-in-time compilation via LLVM. >>> >>> Current features include: >>> >>> - support for both double-precision and extended-precision >>> floating-point types, >>> - the ability to maintain machine precision accuracy over tens of >>> billions of timesteps, >>> - high-precision zero-cost dense output, >>> - accurate and reliable event detection, >>> - excellent performance, >>> - batch mode integration to harness the power of modern SIMD instruction >>> sets. >>> >>> heyoka.py needs to represent the ODEs symbolically in order to apply the >>> automatic differentiation rules necessary for an efficient implementation >>> of Taylor's method. For this purpose, heyoka.py uses its own expression >>> system, but in recent versions we added the ability to convert heyoka.py's >>> symbolic expressions to/from SymPy. Here's a simple example of >>> interoperability between heyoka.py and SymPy: >>> >>> https://bluescarni.github.io/heyoka.py/notebooks/sympy_interop.html >>> >>> Here instead is a non-trivial example where the equations of motion are >>> formulated via SymPy's classical mechanics module and then integrated via >>> heyoka.py: >>> >>> https://bluescarni.github.io/heyoka.py/notebooks/tides_spokes.html >>> >>> This second example also shows how the common subexpression elimination >>> capabilities of heyoka.py were able to drastically simplify highly-complex >>> Lagrangian equations. >>> >>> As a long-time observer/user of SymPy, I thought that other SymPy users >>> might find this project interesting. I am also looking for feedback on our >>> SymPy conversions facilities, as this is my first time digging into the >>> SymPy expression system internals. >>> >>> Thanks and kind regards, >>> >>> Francesco >>> >>> -- >>> 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/CAHExjCv%3DwxH6ZRpkkMqJDMmXg-h1Q43Q5dZq4ahYcGE8MGfFHA%40mail.gmail.com >>> <https://groups.google.com/d/msgid/sympy/CAHExjCv%3DwxH6ZRpkkMqJDMmXg-h1Q43Q5dZq4ahYcGE8MGfFHA%40mail.gmail.com?utm_medium=email&utm_source=footer> >>> . >>> >> -- >> 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/CAP7f1Aj2cFtgQBS_5oqPoEq9DCyF%2BJfZRr-W3UaLi_WfBaPNag%40mail.gmail.com >> <https://groups.google.com/d/msgid/sympy/CAP7f1Aj2cFtgQBS_5oqPoEq9DCyF%2BJfZRr-W3UaLi_WfBaPNag%40mail.gmail.com?utm_medium=email&utm_source=footer> >> . >> > -- > 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/CAHExjCuG0Z_nP-7Q3Tba%2B_3KfB2K%2B1TJQZOZoSNB3mtxdw498A%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CAHExjCuG0Z_nP-7Q3Tba%2B_3KfB2K%2B1TJQZOZoSNB3mtxdw498A%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- 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/CAP7f1AjAukR1k1jGucmULgbzDjvcZFFuvqHxbHxCMHnp3Z7boA%40mail.gmail.com.
