BzzFunctionRoot

If the fimction to be zeroed is monotone, it is possible to use an object from the BzzFunctionRoot class (see Vol. 3, Buzzi-Ferraris and Manenti, 2014). 

The integration step for BzzOdeStiff or BzzOdeNonStifT classes is disjoined from the user s need to know the values at certain specific points. Thus, if the frmction to be zeroed is monotone, it will suffice to monitor its value in the mesh points dimng integration and, when it changes sign, to use an object from the BzzFunctionRoot class to refine the root. 

Please note that the differential system is iteratively integrated until the variable > 0.7. At each integration step, both the mesh point and the corresponding value of yi are collected. At the value y < 0.7, the integration is stopped and the object z from the BzzFunctionRoot class is initialized on the left with the values collected in the last but one mesh point and on the right with the values collected in the last mesh point (where the function yR [1 ] -. 7 changes sign). 

The BzzFunctionRoot class is designed to search for the root of a function when an interval of uncertainty is given and when the user wants to find one solution vfithin that interval. 

The function must be continuous within the interval. The BzzFunctionRoot class will not benefit from several processors. 

Only the BzzFunctionRoot and BzzFunctionRootMP classes are described in this chapter, whereas the BzzFunctionRootRobust class is explained in Chapter 6. 

The BzzFunctionRoot class has several constructors. The simplest ones are... 

Use the constructors from the BzzFunctionRoot class to zero the function... 

The BzzFunctionRootMP class has the same constructors and functions as the BzzFunctionRoot dass. The difference between them lies in the fact that the former requires more processors to he available in a shared memory... 

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