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It is worth noticing that the non-negative character of the substrate and biomasses is preserved at each iteration, even during longer periods of time.
For time discretization, we use the Crank Nicolson for linear Schrödinger equations, and the Strang splitting for nonlinear Schrödinger equations, so that numerical mass is still preserved at each time step.
As expected, we will provide some simulations in order to evince the performance of our method and illustrate the facts that non-negativity and boundedness are preserved at each iteration when some suitable conditions on the model and the computational parameters are satisfied.
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We preserved at least four individual transformants for each strain.
A piece of each tumor was preserved at − 80°C until DNA was extracted.
The sludge was taken each 3 months and preserved at room temperature.
After each treatment cycle the constructs were preserved at 4 °C, in PBS/AA.
These tracks are only preserved at temperatures below a critical threshold temperature that is specific for each mineral.
At each time point mycelia and the corresponding media filtrate were recovered and preserved at -80°C [ 33].
Local history is preserved at the Kibbe Museum.
Cedarmere, home of the poet William Cullen Bryant, is preserved at Roslyn.
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