Stop conditions

Maple can be asked to stop the numerical calculation based on a criterion on the dependent variable. The syntax is  

The objective is to find the time at which the maximum occurs. When y2 attains dy, 

Warning, cannot evaluate the solution further right of. 26421692, stop condition 1 violated 

The numerical calculation stops when the residual is satisfied. The time at which the maximum occures is given by  

When we plot the solution, the profiles stop when the maximum value of is reached  

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Campbell and Ottaway [672] have described a simple and rapid method for the determination of cadmium and zinc in seawater, using atomic absorption spectrometry with carbon furnace atomisation. Samples, diluted 1 + 1 with deionised water, are injected into the carbon furnace and atomised in an HGA-72 furnace atomiser under gas-stop conditions. A low atomisation temperature... 

Red a. Stop buttons or electrical switches used for emergency stopping of machines. b. Emergency stop handles or bars on machines. c. Hazardous operation indicating lights on control, alarm panels, or in the installation. d. Fire protection equipment and systems (e g., fire hydrants, monitors, reels, alarms, etc.). e. Portable flammable liquid containers. f. Stop condition. g. Identification of ESD isolation valves and actuators. 

Return to step 4, and repeat until some stopping condition is met. Such conditions may be based on elapsed time or iterations, or on lack of improvement in the objective. 

The largest gasoline-fueled ATR reactor operated by Nuvera is 200 kWt. Nuvera had over 2,000 hours run time with no catalyst change while experiencing multiple start/stop conditions. The longest continuous run has been 500 hours. 

If the stop conditions are fulfilled then stop. If not set a to a and repeat at step 2. 

Assign efficiency value to solutions based on Pareto-rank While Not Stop Condition ... 

When alcoholic fermentation is too slow or when it stops, conditions are favourable for bacterial development. LAB ferment different quantities of sugars that have not been totally fermented by yeasts and produce acetic acid and D-lactic acid. This alteration is called Lactic disease" (piqure lactique) and is characterised by a high volatile acidity that depreciates the wine. If this volatile acidity exceeds the limit of 1 g/L, the wine is unmarketable (Lonvaud-Funel 1999). This spoilage also occurs in fortified wine where O. oeni, L. hilgardii, L. fructivorans and L. plantarum are active in spite of very high ethanol contents. 

The second and third steps are repeated until some stop condition is encountered (e.g., a user-defined maximum number of iterations) or the process is arbitrarily ended. 

In section 2.2.4, stop condition was used to predict the maximum yield in a chemical reaction. In section 2.2.5, a stiff problem was solved using Maple s default numerical solver. We concluded that the conventional numerical methods fail for this stiff problem. Maple s stiff solver was found to be superior for this stiff problem. Generally, one has to use a stiff solver only if the conventional methods fail, as stiff solvers take more time to solve ordinary IVPs than the conventional solvers. 

We can ask Maple to not print the warning about the violation of stop conditions using the following command ... 

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