Abstract: An exemplary system and method using a deep neural network to predict the high-fidelity solutions of a system of differential equations is disclosed. The deep neural network requires input of at least two parts from two or more approximate solutions, each taken from low-cost numerical models that converge toward the exact solution of the differential equations. Each of the parts of the input is a local space-time patch of the corresponding low-cost numerical solution. The neural network predicts high-fidelity solutions to the system of equations as part of the exemplary method and is implemented in the exemplary system.

Abstract: A flow focusing type one-step double emulsion droplet parallel generation device and method. The device comprises a fluid injection module, a liquid droplet generation module, a liquid droplet surface solidification module and a liquid droplet collection module, wherein the fluid injection module is used for conveying fluid of each phase to the liquid droplet generation module; and the liquid droplet generation module comprises a fluid distribution functional area, a liquid droplet preparation functional area and an auxiliary functional arca, wherein the liquid droplet distribution functional area is used for conveying the fluid of each phase into a channel of the fluid of each phase corresponding to the liquid droplet preparation functional area, and the fluid of each phase is gathered at the same point in a flow focusing structure and then is broken, and a fluid of an outer phase covers the fluid of the middle phase.