Interval-Related Publications
These publications use interval analysis in one form or another.

Professor Mark A. Stadtherr

NOTE: Most of the files available here are "preprint" versions which are not necessarily exactly the same as the final published versions. For reprints of the final published versions, contact Professor Stadtherr at markst (at) nd.edu, or use the DOI links below.

  1. J. A. Enszer, D. A. Măceș and M. A. Stadtherr, "Probability Bounds Analysis for Nonlinear Population Ecology Models," Math. Biosciences, 267, 97-108 (2015). [preprint] [DOI]

  2. D. A. Măceș and M. A. Stadtherr, "Computing Fuzzy Trajectories for Nonlinear Dynamic Systems," Comput. Chem. Eng., 52, 10-25 (2013). [preprint] [DOI]

  3. Y. Zhao and M. A. Stadtherr, "Rigorous Global Optimization for Dynamic Systems Subject to Inequality Path Constraints," Ind. Eng. Chem. Res., 50, 12678-12693 (2011). [preprint] [DOI]

  4. J. A. Enszer, Y. Lin, S. Ferson, G. F. Corliss and M. A. Stadtherr, "Probability Bounds Analysis for Nonlinear Dynamic Process Models," AIChE J., 57, 404-422 (2011). [preprint] [DOI]

  5. J. A. Enszer and M. A. Stadtherr, "Verified Solution and Propagation of Uncertainty in Physiological Models," Reliable Computing, 15, 168-178 (2011). [DOI]

  6. L. D. Simoni, A. Chapeaux, J. F. Brennecke and M. A. Stadtherr, "Extraction of Biofuels and Biofeedstocks from Aqueous Solutions Using Ionic Liquids," Comput. Chem. Eng., 34, 1406-1412 (2010). [preprint] [DOI]

  7. L. D. Simoni, L. E. Ficke, C. A. Lambert, M. A. Stadtherr and J. F. Brennecke, "Measurement and Prediction of Vapor-Liquid Equilibrium of Aqueous 1-Ethyl-3-methylimidazolium-Based Ionic Liquid Systems," Ind. Eng. Chem. Res., 49, 3893-3901 (2010). [DOI]

  8. J. A. Enszer and M. A. Stadtherr, "Verified Solution Method for Population Epidemiology Models with Uncertainty," Int. J. Appl. Math. Comput. Sci., 19, 501-512 (2009). [preprint] [DOI]

  9. L. D. Simoni, J. F. Brennecke and M. A. Stadtherr, "Asymmetric Framework for Predicting Liquid-Liquid Equilibrium of Ionic Liquid-Mixed-Solvent Systems. 1. Theory, Phase Stability Analysis, and Parameter Estimation," Ind. Eng. Chem. Res., 48, 7246-7256 (2009). [preprint] [DOI]

  10. L. D. Simoni, A. Chapeaux, J. F. Brennecke and M. A. Stadtherr, "Asymmetric Framework for Predicting Liquid-Liquid Equilibrium of Ionic Liquid-Mixed-Solvent Systems. 2. Prediction of Ternary Systems, Ind. Eng. Chem. Res., 48, 7257-7265 (2009). [preprint] [DOI]

  11. Y. Lin and M. A. Stadtherr, "Rigorous Model-Based Safety Analysis for Nonlinear Continuous-Time Systems," Comput. Chem. Eng., 33, 493-502 (2009). [preprint] [DOI]

  12. C. R. Gwaltney, Y. Lin, L. D. Simoni and M. A. Stadtherr, "Interval Methods for Nonlinear Equation Solving Applications," in Handbook of Granular Computing (eds. W. Pedrycz, A. Skowron and V. Kreinovich), John Wiley & Sons Ltd. (2008). [preprint]

  13. A. Chapeaux, L. D. Simoni, T. S. Ronan, M. A. Stadtherr and J. F. Brennecke, "Extraction of alcohols from water with 1-hexyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide," Green Chemistry, 10, 1301-1306 (2008).  [DOI]

  14. Y. Lin and M. A. Stadtherr, "Fault Detection in Nonlinear Continuous-Time Systems with Uncertain Parameters," AIChE J., 54, 2335-2345 (2008). [preprint] [DOI]

  15. Y. Lin, J. A. Enszer and M. A. Stadtherr, "Enclosing All Solutions of Two-Point Boundary Value Problems for ODEs," Comput. Chem. Eng., 32, 1714-1725 (2008).  [preprint] [DOI]

  16. L. D. Simoni, Y. Lin, J. F. Brennecke and M. A. Stadtherr, "Modeling Liquid-Liquid Equilibrium of Ionic Liquid Systems with NRTL, Electrolyte-NRTL, and UNIQUAC," Ind. Eng. Chem. Res., 47, 256-272 (2008).  [preprint] [DOI]

  17. M. A. Stadtherr, G. Xu, G. I. Burgos-Solorzano and W. D. Haynes, "Reliable Computation of Phase Stability and Equilibrium Using Interval Methods," Int. J. Reliability and Safety, 1, 465-488 (2007).  [preprint]  [DOI]

  18. A. Chapeaux, L. D. Simoni, M. A. Stadtherr and J. F. Brennecke, "Liquid Phase Behavior of Ionic Liquids with Water and 1-Octanol and Modeling of 1-Octanol/Water Partition Coefficients," J. Chem. Eng. Data, 52, 2462-2467 (2007).  [DOI]

  19. Y. Lin and M. A. Stadtherr, "Guaranteed State and Parameter Estimation for Nonlinear Continuous-Time Systems with Bounded-Error Measurements," Ind. Eng. Chem. Res., 46, 7198-7207 (2007). [preprint][DOI]

  20. L. D. Simoni, Y. Lin, J. F. Brennecke and M. A. Stadtherr, "Reliable Computation of Binary Parameters in Activity Coefficient Models for Liquid-Liquid Equilibrium," Fluid Phase Equilib., 255, 138-146 (2007).  [preprint][DOI]

  21. C. R. Gwaltney, W. Luo and M. A. Stadtherr, "Computation of Equilibrium States and Bifurcations Using Interval Analysis: Application to Food Chain Models," Ecological Modelling, 203, 495-510 (2007).  [preprint][DOI]

  22. Y. Lin and M. A. Stadtherr, "Deterministic Global Optimization of Nonlinear Dynamic Systems," AIChE Journal, 53, 866-875 (2007).  [preprint][DOI]

  23. Y. Lin and M. A. Stadtherr, "Validated Solutions of Initial Value Problems for Parametric ODEs," Appl. Numer. Math., 58, 1145-1162 (2007).  [preprint][DOI]

  24. C. R. Gwaltney and M. A. Stadtherr, "Reliable Computation of Equilibrium States and Bifurcations in Ecological Systems Analysis," Comput. Chem. Eng., 31, 993-1005 (2007).  [preprint][DOI]

  25. Y. Lin and M. A. Stadtherr, "Deterministic Global Optimization for Parameter Estimation of Dynamic Systems," Ind. Eng. Chem. Res., 45, 8438-8448 (2006).  [preprint][DOI]

  26. Y. Lin and M. A. Stadtherr, "Validated Solution of ODEs with Parametric Uncertainties," Computer-Aided Chemical Engineering, 21, 167-172 (2006).  [preprint]

  27. Y. Lin and M. A. Stadtherr, "Validated Solution of Initial Value Problems for ODEs with Interval Parameters," Proceedings of 2nd NSF Workshop on Reliable Engineering Computing (Eds., R. L. Muhanna and R. L. Mullen), Savannah, GA, February 22-24, 2006.  [preprint]

  28. Y. Lin, C. R. Gwaltney and M. A. Stadtherr, "Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach," Reliable Computing, 12, 427-450 (2006). [preprint][DOI]

  29. G. Xu, W. D. Haynes and M. A. Stadtherr, "Reliable Phase Stability Analysis for Asymmetric Models," Fluid Phase Equilib., 235, 152-165 (2005).  [preprint][DOI]

  30. Y. Lin and M. A. Stadtherr, "Deterministic Global Optimization of Molecular Structures Using Interval Analysis," J. Comput. Chem., 26, 1413-1420 (2005).  [preprint][DOI]

  31. Y. Lin and M. A. Stadtherr, "Locating Stationary Points of Sorbate-Zeolite Potential Energy Surfaces Using Interval Analysis," J. Chem. Phys., 121, 10159-10166 (2004).  [preprint][DOI]

  32. C. R. Gwaltney, M. P. Styczynski and M. A. Stadtherr, "Reliable Computation of Equilibrium States and Bifurcations in Food Chain Models," Comput. Chem. Eng., 28, 1981-1996 (2004).  [preprint][DOI]

  33. Y. Lin and M. A. Stadtherr, "LP Strategy for Interval-Newton Method in Deterministic Global Optimization," Ind. Eng. Chem. Res., 43, 3741-3749 (2004).  [preprint][DOI]

  34. Y. Lin and M. A. Stadtherr, "Advances in Interval Methods for Deterministic Global Optimization in Chemical Engineering," J. Global Optimization, 29, 281-296 (2004).   [preprint][DOI]

  35. L. S. Belvèze, J. F. Brennecke and M. A. Stadtherr, "Modeling of Activity Coefficients of Aqueous Solutions of Quaternary Ammonium Salts with the Electrolyte-NRTL Equation," Ind. Eng. Chem. Res., 43, 815-825 (2004).  [preprint][DOI]

  36. G. I. Burgos-Solórzano, J. F. Brennecke and M. A. Stadtherr, "Solubility Measurements and Modeling of Molecules of Biological and Pharmaceutical Interest with Supercritical CO2," Fluid Phase Equilib., 220, 55-67 (2004).  [preprint][DOI]

  37. G. I. Burgos-Solórzano, J. F. Brennecke and M. A. Stadtherr, "Validated Computing Approach for High-Pressure Chemical and Multiphase Equilibrium," Fluid Phase Equilib., 219, 245-255 (2004).  [preprint][DOI]

  38. A. M. Scurto, G. Xu, J. F. Brennecke and M. A. Stadtherr, "Phase Behavior and Reliable Computation of High Pressure Solid-Fluid Equilibrium with Cosolvents," Ind. Eng. Chem. Res., 42, 6464-6475 (2003).  [preprint][DOI]

  39. L. A. Blanchard, G. Xu, M. A. Stadtherr and J. F. Brennecke, "Phase Behavior and Its Effects on Reactions and Processing," in Green Chemistry Using Liquid and Supercritical Carbon Dioxide (eds. J. M. Desimone and W. Tumas), Oxford University Press, pp. 3-16 (2003).  [preprint]

  40. Y. Lin and M. A. Stadtherr, "LP-Based Strategies for Modeling and Optimization Using Interval Methods," in Proceedings Fourth International Conference on Foundations of Computer-Aided Process Operations (eds. I. E. Grossmann and C. M. McDonald), CACHE Corp., pp. 573-576 (2003).  [preprint]

  41. C.-Y. Gau and M. A. Stadtherr, "Deterministic Global Optimization for Data Reconciliation and Parameter Estimation Using Error-in-Variables Approach," in Recent Developments in Optimization and Optimal Control in Chemical Engineering (ed. R. Luus), Transworld Research, pp. 1-17 (2002).  [preprint]

  42. C.-Y. Gau and M. A. Stadtherr, "Deterministic Global Optimization for Error-in-Variables Parameter Estimation," AIChE J., 48, 1192-1197 (2002).   [preprint][DOI]

  43. C.-Y. Gau and M. A. Stadtherr, "Dynamic Load Balancing for Parallel Interval-Newton Using Message Passing," Comput. Chem. Eng., 26, 811-825 (2002).  [preprint][DOI]

  44. C.-Y. Gau and M. A. Stadtherr, "New Interval Methodologies for Reliable Chemical Process Modeling," Comput. Chem. Eng., 26, 827-840 (2002). [preprint][DOI]

  45. G. Xu, J. F. Brennecke and M. A. Stadtherr, "Reliable Computation of Phase Stability and Equilibrium from the SAFT Equation of State," Ind. Eng. Chem. Res., 41, 938-952 (2002).  [preprint][DOI]

  46. R. W. Maier and M. A. Stadtherr, "Reliable Density-Function-Theory Calculations of Adsorption in Nanoporous Materials," AIChE J., 47, 1874-1884 (2001).  [preprint][DOI]

  47. B. A. Stradi, J. F. Brennecke, J. P. Kohn and M. A. Stadtherr, "Reliable Computation of Mixture Critical Points," AIChE J., 47, 212-221 (2001).  [preprint][DOI][ERRATA]

  48. C.-Y. Gau and M. A. Stadtherr, "Reliable Nonlinear Parameter Estimation Using Interval Analysis:  Error-in-Variable Approach," Comput. Chem. Eng., 24, 631-638 (2000).  [preprint][DOI]

  49. C. -Y. Gau, J. F. Brennecke and M. A. Stadtherr, "Reliable Parameter Estimation in VLE Modeling," Fluid Phase Equilib., 168, 1-18 (2000).  [preprint][DOI]

  50. S. R. Tessier, J. F. Brennecke and M. A. Stadtherr, "Reliable Phase Stability Analysis for Excess Gibbs Energy Models," Chem Eng. Sci., 55, 1785-1796 (2000).  [preprint][DOI]

  51. R. W. Maier, J. F. Brennecke and M. A. Stadtherr, "Reliable Computation of Reactive Azeotropes," Comput. Chem. Eng., 24, 1851-1858 (2000).  [preprint][DOI]

  52. G. Xu, A. M. Scurto, M. Castier, J. F. Brennecke and M. A. Stadtherr, "Reliable Computation of High Pressure Solid-Fluid Equilibrium," Ind. Eng. Chem. Res., 39, 1624-1636 (2000).  [preprint][DOI]

  53. M. A. Stadtherr, "High Performance Computing:  Are We Just Getting Wrong Answers Faster?" AIChE CAST Communications, 22(1), 6-14 (1999). [HTML][preprint]

  54. J. Z. Hua, R. W. Maier, S. R. Tessier, J. F. Brennecke and M. A. Stadtherr, "Interval Analysis for Thermodynamic Calculations in Process Design:  A Novel and Completely Reliable Approach," Fluid Phase Equilib., 158, 607-615 (1999).  [preprint][DOI]

  55. C.-Y. Gau and M. A. Stadtherr, "Nonlinear Parameter Estimation Using Interval Analysis," AIChE Symp. Ser., 94(304), 445-450 (1999). [preprint]

  56. R. W. Maier, J. F. Brennecke, and M. A. Stadtherr, "Reliable Computation of Homogeneous Azeotropes," AIChE J., 44, 1745-1755 (1998) . [abstract][preprint][DOI]

  57. J. Z. Hua, J. F. Brennecke, and M. A. Stadtherr, "Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models," Ind. Eng. Chem. Res., 37, 1519-1527 (1998).[abstract][preprint][DOI]

  58. J. Z. Hua, J. F. Brennecke, and M. A. Stadtherr, "Reliable Computation of Phase Stability Using Interval Analysis: Cubic Equation of State Models," Comput. Chem. Eng., 22, 1207-1214 (1998).[abstract][preprint][DOI]

  59. J. Z. Hua, J. F. Brennecke, and M. A. Stadtherr, "Reliable Phase Stability Analysis for Cubic Equation of State Models," Comput. Chem. Eng., 20, S395-S400 (1996). [abstract][preprint][DOI]

  60. Z. Hua, J. F. Brennecke, and M. A. Stadtherr, "Reliable Prediction of Phase Stability Using an Interval-Newton Method," Fluid Phase Equilib., 116, 52-59 (1996). [abstract][preprint][DOI]

  61. C. A. Schnepper and M. A. Stadtherr, "Robust Process Simulation Using Interval Methods," Comput. Chem. Eng., 20, 187-199 (1996). [abstract][preprint][DOI]

  62. M. A. Stadtherr, C. A. Schnepper, and J. F. Brennecke, "Robust Phase Stability Analysis Using Interval Methods," AIChE Symp. Ser., 91(304), 356-359 (1995). [abstract][preprint]

  63. C. A. Schnepper and M. A. Stadtherr, "Application of a Parallel Interval Newton/Generalized Bisection Algorithm to Equation-Based Chemical Process Flowsheeting," Interv. Comput., 1993(4), 40-64 (1993). [abstract]

NOTE: For a complete list of recent publications, including many that are not interval-related, see list here
 

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