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IBVP2D for PDEs about neurodiffeq HOT 1 OPEN

neurodiffgym avatar neurodiffgym commented on May 28, 2024
IBVP2D for PDEs

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gersonjferreira avatar gersonjferreira commented on May 28, 2024

This would be great! Would it be useful to simple time-evolution of the Schrödinger equation in 2D? With H = p²/2m +V(r), linear case.

Currently I solve this with Chebyshev expansion of the time-evolution operator and to avoid large matrices I use FFT to represent the momentum operators. But even after optimizations, it is still a costly numerical task.

Do you expect that NNs would reduce the computational cost here as well?

Any plans to develop this IBVP2D case soon?

from neurodiffeq.

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