3 ms·
Noob Q could this be used to solve other problems that uses PdE for example fluid dynamics? My naive mind has a made up example like simulating how rocket fuel
by itissid 4y ago
Noob Q could this be used to solve other problems that uses PdE for example fluid dynamics? My naive mind has a made up example like simulating how rocket fuel might behave when subjected to certain pressure/temperature/injection method
- evouga 4y agoCurrently the method only works for elliptic, linear PDEs like the heat equation. Keenan and his students are trying to extend the method to more general PDEs (they recently had a paper showing how to do elliptic PDEs with non-constant coefficients) but currently the Navier-Stokes equation from fluid dynamics is out of scope. That's my view of the method in a nutshell: using walk-on-spheres as a practical method to solve PDEs arising in simulations is a departure from what most people have tried in recent years. Whether it's a total game-changer or a curious novelty will depend on whether it generalizes beyond diffusion-like PDEs.