These methods along with Godunov splitting are applied to model proppant transport in fractures.
Specifically, several differencing schemes using linearization and/or time splitting are applied to problems in nonequilibrium radiation diffusion, magnetohydrodynamics, and shallow water flow, and their solutions are compared to those using balanced time integration methods.
In the reacting flow simulations, operator splitting is applied to decouple the convection, generation and diffusion operators, while a second-order predictor corrector integration is used in the convection and generation steps.
The three-way data split was applied for training, validation, and testing.
During the time integration for the time-dependent PDEs, a second-order operator splitting technique, the Strang splitting, is applied in each timestep.
The same testing samples are used to evaluate the performance of the single models and of the meta-models, but in the meta-models an additional data split is applied to perform the meta-training.
For the use of the support vector machine as an appropriate tool for prediction of the breast cancer, a three-way data split is applied for training, validation, and testing.
JMML and non-JMML samples were randomly assigned to the training and validation sets in a balanced way (50% of JMML samples to the training set and the other 50% of JMML samples to the validation set; the same splitting was applied to the non-JMML samples).
In on-line experiments with the complete setup, a post-column split was applied (see Fig. 2), with 13 μL/min of the LC mobile phase being directed to the p38α bioaffinity assay and 100 μL/min to the MS system.
Three-dimensional blades containing split vane, ripped open, trumpet shaped and split trumpet shaped are applied in a 2 × 2 rod bundle array.
