  The xSPDE toolbox treats stochastic partial and ordinary differential
equations, with applications in biology, chemistry, engineering, medicine,
physics and quantum technologies. It computes statistical averages, including
time-step and/or sampling error estimation. xSPDE can provide higher order
convergence, Fourier spectra and probability densities. The toolbox has
graphical output and $\chi^{2}$ statistics, as well as weighted, projected, or
forward-backward equations. It can generate input-output quantum spectra. All
equations may have independent periodic, Dirichlet, and Neumann or Robin
boundary conditions in any dimension, for any vector field component, and at
either end of any interval.
