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All issues Volume 6 / No 5 (2011) Math. Model. Nat. Phenom., 6 5 (2011) 44-66 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
Page(s) 44 - 66
DOI https://doi.org/10.1051/mmnp/20116503
Published online 10 August 2011
  1. N. R. Amundson, A. Caboussat, J. W. He, C. Landry, J. H. Seinfeld. A dynamic optimization problem related to organic aerosols. C. R. Acad. Sci., 344 (2007), No. 8, 519–522. [Google Scholar]
  2. N. R. Amundson, A. Caboussat, J. W. He, C. Landry, C. Tong, J. H. Seinfeld. A new atmospheric aerosol phase equilibrium model (UHAERO): organic systems. Atmos. Chem. Phys., 7 (2007), 4675–4698. [CrossRef] [Google Scholar]
  3. N. R. Amundson, A. Caboussat, J. W. He, A. V. Martynenko, J. H. Seinfeld, K. Y. Yoo. A new inorganic atmospheric aerosol phase equilibrium model (UHAERO). Atmos. Chem. Phys., 6 (2006), 975–992. [CrossRef] [Google Scholar]
  4. N. R. Amundson, A. Caboussat, J. W. He, J. H. Seinfeld. Primal-dual interior-point algorithm for chemical equilibrium problems related to modeling of atmospheric organic aerosols. J. Optim. Theory Appl., 130 (2006), No. 3, 375–407. [MathSciNet] [Google Scholar]
  5. H. Y. Benson, D. F. Shanno. Interior-point methods for nonconvex nonlinear programming: regularization and warmstarts. Comput. Optim. Appl., 40 (2008), No. 2, 143–189. [CrossRef] [MathSciNet] [Google Scholar]
  6. A. Caboussat. Primal-dual interior-point method for thermodynamic gas-particle partitioning. Computational Optimization and Applications, 48 (2011), No. 3, 717–745. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Caboussat, R. Glowinski. A numerical method for a non-smooth advection-diffusion problem arising in sand mechanics. Com. Pure. Appl. Anal, 8 (2008), No. 1, 161–178. [CrossRef] [Google Scholar]
  8. A. Caboussat, R. Glowinski, V. Pons. An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. J. Numer. Math, 17 (2009), No. 1, 3–26. [CrossRef] [MathSciNet] [Google Scholar]
  9. A. Caboussat, C. Landry, J. Rappaz. Optimization problem coupled with differential equations: A numerical algorithm mixing an interior-point method and event detection. J. Optim. Theory Appl., 147 (2010), No. 1, 141–156. [CrossRef] [MathSciNet] [Google Scholar]
  10. G. R. Carmichael, L. K. Peters, T. Kitada. A second generation model for the regional-scale transport/chemistry/deposition. Atm. Env., 20 (1986), 173. [CrossRef] [Google Scholar]
  11. E. J. Dean, R. Glowinski. An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Electronic Transactions in Numerical Analysis, 22 (2006), 71–96. [Google Scholar]
  12. E. J. Dean, R. Glowinski, G. Guidoboni. On the numerical simulation of Bingham visco-plastic flow: old and new results. Journal of Non Newtonian Fluid Mechanics, 142 (2007), 36–62. [CrossRef] [Google Scholar]
  13. A. V. Fiacco, G. P. McCormick. Nonlinear programming : sequential unconstrained minimization techniques, Wiley, New York, 1968. [Google Scholar]
  14. M. Fortin, R. Glowinski. Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems, Studies in Mathematics and Its Applications. Elsevier Science Ltd, 1983. [Google Scholar]
  15. R. Glowinski. Numerical Methods for Nonlinear Variational Problems, Springer-Verlag, New York, NY, 1984. [Google Scholar]
  16. R. Glowinski, P. Le Tallec. Augmented Lagrangians and Operator-Splitting Methods in Nonlinear Mechanics, SIAM, Philadelphia, 1989. [Google Scholar]
  17. J. Gondzio, A. Grothey. A new unblocking technique to warmstart interior point methods based on sensitivity analysis. SIAM Journal on Optimization, 19 (2008), No. 3, 1184–1210. [CrossRef] [MathSciNet] [Google Scholar]
  18. M. Z. Jacobson. Fundamentals of Atmospheric Modeling, Cambridge, second edition, 2005. [Google Scholar]
  19. C. Landry. Numerical Analysis of Optimization-Constrained Differential Equations: Applications to Atmospheric Chemistry. PhD thesis, Ecole Polytechnique Fédérale de Lausanne, 2009. Available at http://library.epfl.ch/theses/?nr=4345. [Google Scholar]
  20. C. Landry, A. Caboussat, E. Hairer. Solving optimization-constrained differential equations with discontinuity points, with application to atmospheric chemistry. SIAM J. Sci. Comp., 31 (2009), No. 5, 3806–3826. [CrossRef] [Google Scholar]
  21. D. Lanser, J. Verwer. Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling. J. Comput. Appl. Math., 111 (1999), 201–216. [CrossRef] [MathSciNet] [Google Scholar]
  22. C. M. McDonald, C. A. Floudas. GLOPEQ: A new computational tool for the phase and chemical equilibrium problem. Computers and Chemical Engineering, 21 (1996), No. 1, 1–23. [CrossRef] [Google Scholar]
  23. G. J. McRae, W. R. Goodin, J. H. Seinfeld. Numerical solution of the atmospheric diffusion equation for chemically reacting flows. J. Comput. Phys., 45 (1982), No. 1, 1–42. [CrossRef] [MathSciNet] [Google Scholar]
  24. Z. Meng, D. Dabdub, J. H. Seinfeld. Size-resolved and chemically resolved model of atmospheric aerosol dynamics. J. Geophys. Res., 103 (1998), 3419–3436. [CrossRef] [Google Scholar]
  25. K. Nguyen, A. Caboussat, D. Dabdub. Mass conservative, positive definite integrator for atmospheric chemical dynamics. Atmos. Env., 43 (2009), No. 40, 6287–6295. [CrossRef] [Google Scholar]
  26. K. Nguyen, D. Dabdub. Semi-lagrangian flux scheme for the solution of the aerosol condensation/evaporation equation. Aerosol Science & Technology, 36 (2002), 407–418. [CrossRef] [Google Scholar]
  27. R. T. Rockafellar. Convex analysis, Princeton University Press, Princeton, NJ, 1970. [Google Scholar]
  28. J. H. Seinfeld, S. N. Pandis. Atmospheric Chemistry and Physics: From Air Pollution to Climate Change, Wiley, New York, 1998. [Google Scholar]
  29. S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis, K.B. Averyt, M. Tignor, H.L. Miller, editors. Intergovernmental Panel on Climate Change: Fourth Assessment Report: Climate Change 2007, The Physical Science Basis, Cambridge University Press, 2007. [Google Scholar]
  30. B. Sportisse. A review of current issues in air pollution modeling and simulation. Comput. Geosci., 11 (2007), 159–181. [Google Scholar]
  31. J.G. Verwer, W. Hundsdorfer, J.G. Blom. Numerical time integration for air pollution models. Surveys Math. Ind., 10 (2002), 107–174. [Google Scholar]
  32. R. A. Zaveri, R. C. Easter, J. D. Fast, L. K. Peters. Model for simulating aerosol interactions and chemistry (MOSAIC). J. Geophys. Res. D (Atmospheres), 113 (2008), No. D13, D13204. [CrossRef] [Google Scholar]
  33. R. A. Zaveri, R. C. Easter, L. K. Peters. A computationally efficient multicomponent equilibrium solver for aerosols (MESA). J. Geophys. Res. D (Atmospheres), 110 (2005), No. D24, D24203. [CrossRef] [Google Scholar]

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