On linear programming approach for the calculation of chemical equilibrium in complex thermodynamic systems

1. Van Zeggeren F., Storey S.H.: The Computation of Chemical Equilibria. Cambridge University, Oxford (1970)

   Google Scholar 

2. Holub R., Voñka P.: The Chemical Equilibria of Gaseous Systems. Reidel, Dordrecht (1976)

   Google Scholar 

3. Smith W.R., Missen R.W.: Chemical Reaction Equilibrium Analysis: Theory and Algorithms. John Wiley, New York (1982)

   Google Scholar 

4. K. Hack (ed.), The SGTE Casebook: Thermodynamics at Work (Taylor & Francis, London, 2007)

   Google Scholar 

5. Smith W.R., Missen R.W.: Strategies for solving the chemical equilibrium problem and an efficient microcomputer-based algorithm. Can. J. Chem. Eng. 66, 591 (1988)

   Article  CAS  Google Scholar 

6. Amundson N.R. et al.: Primal-dual active-set algorithm for chemical equilibrium problems related to the modeling of atmospheric inorganic aerosols. J. Optim. Theory Appl. 128, 469 (2006)

   Article  Google Scholar 

7. Burrows A., Sharp C.M.: Chemical equilibrium abundances in brown dwarf and extrasolar giant planet atmospheres. Astrophys. J. 512, 843 (1999)

   Article  CAS  Google Scholar 

8. Pope S.B.: Gibbs function continuation for the stable computation of chemical equilibrium. Combust. Flame. 139, 222 (2004)

   Article  CAS  Google Scholar 

9. Dorn W.S.: Variational principles for chemical equilibrium. J. Chem. Phys. 32, 1490 (1960)

   Article  CAS  Google Scholar 

10. White W.B., Johnson S.M., Dantzig G.B.: Chemical equilibrium in complex mixtures. J. Chem. Phys. 28, 751 (1958)

    Article  CAS  Google Scholar 

11. White W.B., Johnson S.M., Dantzig G.B.: A linear programming approach to chemical equilibrium problem. Manage. Sci. 5, 38 (1958)

    Article  Google Scholar 

12. Reklaitis G.V., Ravindran A., Ragsdell K.M.: Engineering Optimization: Methods and Applications. John Wiley, New York (2006)

    Google Scholar 

13. R.J. Hanson, K.L. Hiebert, A sparse linear programming subprogram, Report SAND81-0297. (Sandia National Laboratories, 1981)

14. Belov G.V., Iorish V.S., Yungman V.S.: IVTANTHERMO for Windows—database on thermodynamic properties and related software. CALPHAD. 23, 173 (1999)

    Article  CAS  Google Scholar 

15. Connolly J.A.D.: Computation of phase equilibria by linear programming: a tool for geodynamic modeling and its application to subduction zone decarbonation. Earth Planet. Sci. Lett. 236, 524 (2005)

    Article  CAS  Google Scholar 

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