This editorial mainly states the meanings for creating the Journal of Numerical Simulations in Physics and Mathematics, and the significance and foreground for the numerical simulations. In particular, the significance and foreground for the three most commonly used numerical methods: the finite element (FE) method, the finite difference (FD) scheme, and the finite volume element (FVE) method, as well as their reduced-dimension methods in the numerical simulations in physics and mathematics will be emphatically introduced and reviewed. More >