Viewers help Farah stop a robbery by solving a time limited brain teaser.
The path between two given targets is obtained by solving a time-dependent optimal control problem.
Structural shapes are represented by the phase field function defined in the design domain, and this function is optimized by solving a time-dependent reaction diffusion equation.
Structural shapes are represented by the phase field function defined in the design domain, and optimization of this function is performed by solving a time-dependent reaction diffusion equation.
Its efficiency is substantiated by solving a fixed-time fuel-optimal transfer problem from an asteroid to the Earth.
The key idea is to steepen the interface, independently of the underlying volume-fraction transport equation, by solving a diffusion equation with reverse time, i.e. an anti-diffusion equation, after each advection time step of the volume fraction.
A method for making such a change is given and illustrated by solving a cantilever beam problem with a time-dependent tip displacement.
We aim at finding the optimal network topology and the optimal parameters of traffic control laws at the same time by solving a co-optimization problem.
These two quantities are evolved in time by solving a set of discrete equations that are suitably designed to ensure formal second-order consistency.
In their procedure, first current wavefield is estimated using data assimilation and then ground motion is predicted by solving a wave equation in real time with current wavefield as an initial condition.
