SMS: Spiking Marching Scheme for Efficient Long Time Integration of Differential Equations. (arXiv:2211.09928v1 [math.NA])

We propose a Spiking Neural Network (SNN)-based explicit numerical scheme for
long time integration of time-dependent Ordinary and Partial Differential
Equations (ODEs, PDEs). The core element of the method is a SNN, trained to use
spike-encoded information about the solution at previous timesteps to predict
spike-encoded information at the next timestep. After the network has been
trained, it operates as an explicit numerical scheme that can be used to
compute the solution at future timesteps, given a spike-encoded initial
condition. …

arxiv integration math sms