BzzMath library problem

The BzzMath library can be used in any scientific field in which there is a need to solve numerical problems. Its primary use is in engineering, but it can also be used in statistics, medicine, economics, physics, management, environmental sciences, biosciences, and so on. 

Ordinary differential equation systems are broached in Chapter 2. Conditioning, stability, and stiffness are described in detail by giving specific information on how to handle them whenever they arise. The BzzMath library also implements a wide set of algorithms to solve classical problems and chemical/process engineering problems. 

Differential-algebraic systems are explored in greater depth in Chapter 4. Special algorithms to handle this family of problems are described and implemented in the BzzMath library. Classes to handle the sparsity and structure of such systems typical of chemical engineering are also described. 

The previous version of the BzzMath library (release 6.0) is updated until May 20, 2011 and will not undergo any further development. Moreover, the new release 7.0 has been extended quite significantly, particularly for classes dedicated to optimization and exploitation of openMP directives and to differential, differential-algebraic, and boundary value problems. 

In the BzzMath library, the Bzz Integra IGaussLobatto class adopts a different strategy to the ones used to solve the same problem with the classes Bzz Integra 1 and Bzz Integra IGaussBF. 

The following classes for the solution of nonstiff problems, which are based on Runge-Kutta explicit algorithms, are implemented in the BzzMath library ... 

In the BzzMath library, classes based on implicit and diagonally implicit Runge-Kutta methods are not implemented to handle ODE problems with initial conditions. 

The concept is how to solve a flash drum separator problem using the information provided with Matlab and an algorithm of the BzzMath library. The flash feedstock is toluene and 1-butanol there are six unknowns molar fraction of toluene in the liquid, molar fraction of 1-butanol in the hquid, molar fraction of toluene in the vapor, molar fraction of 1-butanol in the vapor, liquid molar flow rate, and temperature. 

In such a file it is necessary to define the appropriate compiler (see the ReadMe file of the BzzMath library), the libraries needed (mex. h and BzzMath. hpp are mandatory), the input data of the problem (in this case, datl ln, n datl in, incogn ite in, n incogn ite in), and the pointers to the files that will be opened. 

For any problem you may encounter using the BzzMath library, please contact the author at guido.buzziferraris polimi.it. 

No classes in the BzzMath library require analytical calculation of the gradient in one-dimensional problems. 

In the BzzMath library, the class used to solve a QP problem is BzzQuadratic-Programming. 

This book deals with the solution of nonlinear systems and optimization problems in continuous space. Analogous to its companion books, it proposes a series of robust and high-performance algorithms implemented in the BzzMath library to tackle these multifaceted and notoriously difficult issues. 

---