This paper proposed an intelligent temperature-controlled load energy-saving technology based on multi-modal target detection, recognition and tracking, aiming to study the integration of traditional power energy-saving technology and high-tech multi-modal target detection, recognition and tracking technology. The method proposed in this paper was to use the energy management model of temperature-controlled load based on multi-modal target detection, identification and tracking and aggregate response algorithm to carry out energy-saving management of user's temperature-controlled load. The two algorithms jointly carried out energy-saving and optimal management of electrical appliances. Throu... More >

Herein, we mainly focus on developing a new two-grid Crank-Nicolson (CN) mixed finite element (MFE) (TGCNMFE) method for the generalized nonlinear time fractional fourth-order reaction diffusion equation. To do so, by introducing an auxiliary function, the nonlinear time fractional fourth-order reaction diffusion equation is first split into two second-order nonlinear equations. Thereafter, a new time semi-discrete mixed CN (TSDMCN) scheme is constructed through discretizing the time derivative and time fractional derivative by the CN difference quotient, and the existence, steadiness, and errors of the TSDMCN solutions are analysed. Next, a new TGCNMFE method is developed through using tw... More >

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 >