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In principal, Eulerian microscale models by solving the conservation equations for mass, momentum, and energy, are thus able to simulate effects such as buoyancy etc. properly.

The neural response to the field can then be calculated using compartmentalized cell models, by solving a cable equation, the source term of which (called activating function) is proportional to the second derivative of the extracellular field along the neural arborization.

Based on the models, by solving a constrained minimisation problem, the optimal tin temperature profile for the lowest weight loss was determined to be {115 °C, 130 °C, 156 °C, 176 °C} in the four zones with a baking time of 27.4 min. The crumb temperature was predicted to reach 99 °C, while the top crust colour, side crust colour and averaged crust colour were all within an acceptable range.

This approach was used, for instance, by Meuwissen et al. (2001), who derived hyperparameter values of the models by solving for them as a function of genetic variance.

Constraint-based models [ 40] and especially flux balance analysis (FBA; [ 25]) and its variants allow the prediction of steady-state flux distributions for genome-scale metabolic models by solving a linear optimization problem under various subsidiary conditions.

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Incidence is modeled by solving an inverse problem in the front part of the bladed region.

Tsunami propagation in the open ocean is most commonly modeled by solving the shallow water wave equations.

Although the linking of proppant and fracture simulators was novel, the proppant transport in these works was not numerically modeled by solving the mass balance hyperbolic PDE.

The flow was modeled by solving Reynolds-Averaged Navier-Stokes (RANS) equations, and particle motions were simulated by discrete particle model (DPM) with UDF to model deposition.

Liquid crystal switching is rigorously modeled by solving for the coupled elastic/electrostatic problem, whereas the optical studies are conducted via the finite-element method.

The laminar flow reactor is modeled by solving the two-dimensional Navier Stokes equations in conjunction with a detailed kinetic mechanism.

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