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On the low level, the control signal is calculated by solving a constrained optimal control problem.
The observer gain is calculated by solving a delay-dependent matrix differential equation.
The fracture deformation is calculated by solving the contact problem using the finite-element method.
The gas flow is calculated by solving the Reynolds-averaged Navier Stokes equations including the k ε turbulence model.
Fluid transport inside the fibrous sheets is calculated by solving Richards' equation of two-phase flows in porous media.
The objective value corresponding to each set of sensor locations is calculated by solving the sink location and routing problem.
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Going beyond this qualitative argument, the quantitative properties of atoms are calculated by solving the Schrödinger wave equation, which provides the quantum mechanical description of an atom.
The node temperatures T can be calculated by solving (19).
The contact tractions are calculated by solving the equations numerically.
The transition models can be calculated by solving the optimization problems.
The contours of the freeform lens are calculated by solving partial differential equations numerically.
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