Book

  1. A. Pownuk and V. Kreinovich,
    Combining Interval, Probabilistic, and Other Types of Uncertainty in Engineering Applications, Springer 2018.
    https://doi.org/10.1007/978-3-319-91026-0

Book Chapters

  1. P. Melin, O. Castillo, A. Pownuk, O. Kosheleva, and V. Kreinovich,
    How to Gauge the Accuracy of Fuzzy Control Recommendations: A Simple Idea,
    In: P. Melin, O. Castillo, J. Kacprzyk, M. Reformat, and W. Melek (eds.),
    Fuzzy Logic in Intelligent System Design: Theory and Applications,
    287-292, Springer Verlag, Cham, Switzerland, 2018.
    https://doi.org/10.1007/978-3-319-67137-6
    [ pdf file ]

  2. A. Pownuk, V. Kreinovich, and S. Sriboonchitta, Fuzzy Data Processing Beyond Min t-Norm,
    In: C. Berger-Vachon, A. Maria Gil Lafuente, J. Kacprzyk, Y. Kondratenko, J. M. Merigo Lindahl, and C. Morabito (eds.),
    Complex Systems: Solutions and Challenges in Economics, Management, and Engineering, 237-250, Springer 2018.
    https://doi.org/10.1007/978-3-319-69989-9
    [ pdf file ]

  3. A. Pownuk and V. Kreinovich, (Hypothetical) negative probabilities can speed up uncertainty propagation algorithms,
    In: A. E. Hassanien, M. Elhoseny, A. Farouk, and J. Kacprzyk (eds.),
    Quantum Computing: an Environment for Intelligent Large Scale Real Application, 251-271, Springer 2018.
    https://doi.org/10.1007/978-3-319-63639-9
    [ pdf file ]

  4. V. Kreinovich, A. Pownuk, and O. Kosheleva, Combining interval and probabilistic uncertainty: What is computable?,
    in: P. Pardalos, A. Zhigljavsky, and J. Zilinskas (eds.),
    Advances in Stochastic and Deterministic Global Optimization, 13-32, Springer, Cham, Switzerland, 2016.
    https://doi.org/10.1007/978-3-319-29975-4
    [ pdf file ]

  5. M. Ceberio, V. Kreinovich, A. Pownuk, and B. Bede,
    From interval computations to constraint-related set computations: towards faster estimation of statistics and ODEs under interval, p-box, and fuzzy uncertainty,
    In: JingTao Yao (ed.), Novel Developments in Granular Computing: Applications for Advanced Human Reasoning and Soft Computation, 131-147, IGI Global 2010.
    https://doi.org//10.4018/978-1-60566-324-1
    [ pdf file ]

  6. A. Pownuk, Numerical solutions of fuzzy partial differential equation and its application in computational mechanics,
    In: M. Nikravesh, L. Zadeh and V. Korotkikh, (eds.),
    Fuzzy Partial Differential Equations and Relational Equations: Reservoir Characterization and Modeling,
    308-347, Springer 2004.
    https://doi.org//10.1007/978-3-540-39675-8
    [ pdf file ]

Textbook

  1. J. Jedrzejczyk-Kubik, A. Pownuk, and J. Skrzypczyk,
    Selected Mathematical Problems with Exercises (in Polish),
    Publishing House of the Silesian University of Technology, ISBN 978-83-7335-578-1, Gliwice, Poland, 2010.
    http://www.wydawnictwopolitechniki.pl/Matematyka-Wybrane-zagadnienia-z-cwiczeniami;s,karta,id,1018

Grants

Journal Papers

  1. A. Pownuk and V. Kreinovich, Towards Decision Making under Interval Uncertainty, Journal of Uncertain Systems, 12, 3, 200-207, 2018.
    [ pdf file ]

  2. A. Pownuk and V. Kreinovich, How Interval Measurement Uncertainty Affects the Results of Data Processing: A Calculus-Based Approach to Computing the Range of a Box, Mathematical Structures and Modeling, 46, 118-124, 2018.
    [ pdf file ]

  3. A. Pownuk, O. Kosheleva, and V. Kreinovich, Towards Decision Making under General Uncertainty, Mathematical Structures and Modeling, 44, 109-119, 2017.
    [ pdf file ]

  4. A. Pownuk and V. Kreinovich, Why linear interpolation?, Mathematical Structures and Modeling, 43, 43-49, 2017.
    [ pdf file ]

  5. A. Pownuk and V. Kreinovich, Why Mixture of Probability Distributions?, International Journal of Intelligent Technologies and Applied Statistics (IJITAS), 10(2), 41-45, 2017.
    [ pdf file ]

  6. V. Kreinovich, O. Kosheleva, A. Pownuk, and R. Romero, How to take into account model inaccuracy when estimating the uncertainty of the result of data processing, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 3(1), Paper No. 011002, 2017.
    [ pdf file ]

  7. A. Pownuk, P. Barragan Olague, and V. Kreinovich, Why Compaction Meter Value (CMV) Is a Good Measure of Pavement Stiffness: Towards a Possible Theoretical Explanation, Mathematical Structures and Modeling, 40, 48-54, 2016.
    [ pdf file ]

  8. A. Pownuk, L. Longpre, and V. Kreinovich, Checking monotonicity is NP-Hard even for cubic polynomials, Reliable Computing, 18, 90-96, 2013.
    [ pdf file ]

  9. M.V. Rama Rao, A. Pownuk, M. De Munck, and D. Moens, Fuzzy analysis of the moment of resistance of a doubly reinforced concrete beam with uncertain structural parameters, Life Cycle Reliability and Safety Engineering, 2(1), 9-20, 2013.
    [ pdf file ]

  10. M.V. Rama Rao, A. Pownuk, S. Vandewalle, and D. Moens, Transient response of structures with uncertain structural parameters. Journal of Structural Safety, 32(6), 449-460, 2010.
    [ pdf file ]

  11. A. Pownuk, N. Kumar, and G. Ramunigari, Application of order-preserving functions to the modeling of computational mechanics problems with uncertainty, Reliable Computing, 15, 132-143, 2011.
    [ pdf file ]

  12. A. Pownuk, Mathematical aspects of grading student's homework in on-line web applications, Journal of Uncertain Systems, 5(2), 141-153, 2011.
    [ pdf file ]

  13. M. V. Rama Rao, A. Pownuk, and I. Skalna, Stress analysis of a singly reinforced concrete beam with uncertain structural parameters, International Journal of Reliability and Safety, 3(1/2/3), 307-329, 2009.
    [ pdf file ]

  14. I. Skalna and A. Pownuk, Global optimization method for computing interval hull solution for parametric linear systems, International Journal of Reliability and Safety, 3(1/2/3), 235-245, 2009.
    [ pdf file ]

  15. I. Skalna, M.V. Rama Rao, and A. Pownuk, Systems of fuzzy equations in structural mechanics, Journal of Computational and Applied Mathematics, 218(1), 149-156, 2008.
    [ pdf file ]

  16. A. Neumaier and A. Pownuk, Linear Systems with Large Uncertainties, with Applications to Truss Structures, Journal of Reliable Computing, 13(2), 149-172, 2007.
    [ pdf file ] [ pdf file ]

  17. A. Pownuk, Optimization of mechanical structures using interval analysis, Computer Assisted Mechanics and Engineering Sciences, 7(4), 699-705, 2000.
    [ pdf file ]

  18. M. Jasinski and A. Pownuk, Modeling of heat transfer in biological tissue by interval FEM, Computer Assisted Mechanics and Engineering Sciences, 7(4), 551-558, 2000.
    [ pdf file ]

  19. Z. Kulpa, A. Pownuk, and I. Skalna, Analysis of linear mechanical structures with uncertainties by means of interval methods, Computer Assisted Mechanics and Engineering Sciences, 5, 443-477, 1998.
    [ pdf file ]

Peer-reviewed Papers Published in the Research Bulletins

  1. A. Pownuk, Interval methods for solution of nonlinear equations of structural mechanics (in Polish), Research Bulletin of the Institute of Applied Mechanics, 9, Silesian University of Technology, Gliwice, Poland, 321-236, 1999.
    [ ps file ]

  2. A. Pownuk, Modeling of uncertain parameters in mechanical structures by using the Interval Mathematics (in Polish), Research Bulletin of the Institute of Applied Mechanics, 9, Silesian University of Technology, Gliwice, Poland, 225-230, 1999.
    [ ps file ]

  3. A. Pownuk, Application of regular interval Jacobian matrices for calculation of extreme value of mechanical quantities. Part I - theoretical foundations (in Polish), Scientific Bulletin of the Silesian University of Technology, Civil Engineering Series, 86, 167-174, 1999.
    [ pdf file ]

  4. A. Pownuk, Application of regular interval Jacobian matrices for calculation of extreme value of mechanical quantities. Part II - numerical examples (in Polish), Scientific Bulletin of the Silesian University of Technology, Civil Engineering Series, 86, 175-182, 1999.
    [ pdf file ]

  5. A. Pownuk, Interval methods for solution of the equation of structural mechanics (in Polish), Scientific Bulletin of the Silesian University of Technology, Civil Engineering Series, 85, 61-74, 1998.
    [ ps file ]

  6. J. Skrzypczyk and A. Pownuk, On some method of estimation of upper value of mechanical quantities under interval uncertainty (in Polish), Scientific Bulletin of the Institute of Applied Mechanics, 7, Silesian University of Technology, Gliwice, Poland, 323-328, 1998.
    [ ps file ]

  7. J. Skrzypczyk and A. Pownuk, Methods for solution of the interval system of equations in the fuzzy mechanics (in Polish), Scientific Bulletin of the Institute of Applied Mechanics, 4, Silesian University of Technology, Gliwice, Poland, 323-328, 1997.

Papers in Conference Proceedings

  1. V. Kreinovich, A. M. Pownuk, O. M. Kosheleva, and A. Belina, When is Propagation of Interval and Fuzzy Uncertainty Feasible? Proceedings of the 8th International Workshop on Reliable Engineering Computing REC'2018, Liverpool, UK, July 16-18, 2018.
    [ pdf file ] [ link to Workshop ]

  2. A. Pownuk and V. Kreinovich, Why Unexpectedly Positive Experiences Make Decision Makers More Optimistic: An Explanation, Proceedings of the 10th International Workshop on Constraint Programming and Decision Making CoProd'2017, El Paso, Texas, November 3, 2017, pp. 33-37.
    [ pdf file ]

  3. A. Pownuk and V. Kreinovich, Which Value $\widetilde x$ Best Represents a Sample $x_1,\ldots,x_n$: Utility-Based Approach Under Interval Uncertainty, Proceedings of the 10th International Workshop on Constraint Programming and Decision Making CoProd'2017, El Paso, Texas, November 3, 2017, pp. 43-47.
    [ pdf file ]

  4. S. Kumkov, V. Kreinovich, and A. Pownuk, In System Identification, Interval (and Fuzzy) Estimates Can Lead to Much Better Accuracy than the Traditional Statistical Ones: General Algorithm and Case Study, Proceedings of the IEEE Conference on Systems, Man, and Cybernetics SMC'2017, Banff, Canada, October 5-8, 2017.
    [ pdf file ]

  5. L. Dymova, P. Sevastjanov, A. Pownuk, and V. Kreinovich, Practical Need for Algebraic (Equality-Type) Solutions of Interval Equations and for Extended-Zero Solutions, Proceedings of the 12th International Conference on Parallel Processing and Applied Mathematics PPAM'17, Lublin, Poland, September 10-13, 2017.
    [ pdf file ]

  6. B. J. Kubica, A. Pownuk, and V. Kreinovich, What Decision to Make In a Conflict Situation under Interval Uncertainty: Efficient Algorithms for the Hurwicz Approach, Proceedings of the 12th International Conference on Parallel Processing and Applied Mathematics PPAM'17, Lublin, Poland, September 10-13, 2017.
    [ pdf file ]

  7. A. Pownuk and V. Kreinovich, Isn't Every Sufficiently Complex Logic Multi-Valued Already: Lindenbaum-Tarski Algebra and Fuzzy logic Are Both Particular Cases of the Same Idea, Proceedings of the Joint 17th Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems, Otsu, Japan, June 27-30, 2017.
    [ pdf file ]

  8. A. Pownuk and V. Kreinovich, Which point from an interval should we choose?, Proceedings of the 2016 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2016, El Paso, Texas, October 31 - November 4, 2016.
    [ pdf file ]

  9. A. Pownuk, O. Kosheleva, and V. Kreinovich, Limitations of realistic Monte-Carlo techniques in estimating interval uncertainty, Proceedings of the 7th International Workshop on Reliable Engineering Computing REC'2016, Bochum, Germany, 269-284, June 15-17, 2016.
    [ pdf file ]

  10. V. Kreinovich, O. Kosheleva, A. Pownuk, and R. Romero, How to take into account model inaccuracy when estimating the uncertainty of the result of data processing, Proceedings of the ASME 2015 International Mechanical Engineering Congress & Exposition IMECE'2015, Houston, Texas, November 13-19, 2015.
    [ pdf file ]

  11. C.D. Stylios, A. Pownuk, and V. Kreinovich, Sometimes, it is beneficial to process different types of uncertainty separately, Proceedings of the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2015 and 5th World Conference on Soft Computing, Redmond, Washington, August 17-19, 2015.
    [ pdf file ]

  12. I. Skalna, M.V. Rama Rao, and A. Pownuk, Dynamic response of beams to interval load, 5th International Conference on Reliable Engineering Computing, Brno University of Technology, Brno, Czech Republic, June 13-15, 2012.
    [ Conference Proceedings ]

  13. A. Pownuk, Solution of the interval equations of dynamics by using adaptive approximation, Proceedings of the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2011, El Paso, Texas, March 18-20, 2011.
    [ pdf file ]

  14. I. Skalna and A. Pownuk, Applications of the global optimization methods for the solution of truss structures with interval parameters, Proceedings of the Workshop on Global Optimization, Toulouse, France, August 31- September 3, 2010.
    [ pdf file ]

  15. A. Pownuk, B. Djafari-Rouhani, and N.K. Goud Ramunigari, Finite Element Method with the interval set parameters and its applications in computational science, Proceedings of the American Conference on Applied Mathematics, Harvard University, Cambridge, ISBN: 978-960-474-150-2, ISSN: 1790-2769, 310-315, January 27-29, 2010.
    [ pdf file ]

  16. A. Pownuk and N.K. Goud Ramunigari, Design of 2D elastic structures with the interval parameters, Proceedings of the 11th WSEAS Int. Mathematical and Computational Methods in Science and Engineering, Baltimore, MD. ISBN 978-960-474-133-5, 25-29, November 7-9, 2009.
    [ pdf file ][ link ]

  17. A. Pownuk, J. Cerveny, and J.J. Brady, Fast algorithms for uncertainty propagation, and their applications to structural integrity, Proceedings of the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2008, New York, NY, Paper number 60510, May 19-22, 2008.
    [ pdf file ][ link ]

  18. M.V. Rama Rao and A. Pownuk, Design of truss and frame structures with interval and fuzzy parameters, Proceedings of the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2008, New York, New York, Paper number 60511, May 19-22, 2008.
    [ pdf file ][ link ]

  19. A. Pownuk, General interval FEM program based on sensitivity analysis, Proceedings of the NSF Workshop on Reliable Engineering Computing, Savannah, Georgia, 397-428, February 20-22, 2008.
    [ pdf file ]

  20. M.V. Rama Rao, A. Pownuk, and I. Skalna, Stress analysis of a singly reinforced concrete beam with uncertain structural parameters, Proceedings of the NSF Workshop on Reliable Engineering Computing, Savannah, Georgia, 459-478, February 20-22, 2008.
    [ pdf file ]

  21. I. Skalna and A. Pownuk, On using global optimization method for approximating interval hull solution of parametric linear systems, Proceedings of the NSF workshop on Reliable Engineering Computing, Savannah, Georgia, February 20-22, 81-89, 2008.
    [ pdf file ]

  22. M.V. Rama Rao and A. Pownuk, Stress distribution in a reinforced concrete flexural member with uncertain structural parameters, Proceedings of the International Conference on Recent Developments in Structural Engineering, Manipal Institute of Technology, Manipal, India, August 30 - September 1, 138-148, 2007.
    [ pdf file ]

  23. G. Xiang, A. Pownuk, S.A. Starks, and O. Kosheleva, Von Mises failure criterion for ductile materials: how to efficiently use it under interval and fuzzy uncertainty, Proceedings of the Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2007, San Diego, California, 570-575, June 24-27, 2007.
    [ pdf file ]

  24. M. Ceberio, V. Kreinovich, A. Pownuk, and B. Bede, From interval computations to constraint-related set computations: towards faster estimation of statistics and ODEs under interval, p-Box, and fuzzy uncertainty, Proceedings of the Conference IFSA (International Fuzzy Systems Association), Cancun, Mexico, 33-42, June 24-27, 2007.
    [ pdf file ]

  25. M. Betkowski and A. Pownuk, Analysis of the financial risk of the civil engineering projects with uncertain data (in Polish), Proceedings of the VII International Scientific Conference, Risk 2005, ISBN 83-915990-5-1, 349-356, Bydgoszcz, Poland, 23-25 October, 2005.

    [ pdf file ]

  26. M. Betkowski and A. Pownuk, Application of fuzzy arithmetic for analysis of the risk of civil engineering projects (in Polish), Proceedings of the VII International Scientific Conference, Risk 2005, ISBN 83-915990-5-1, 221-228, Bydgoszcz, Poland, 23-25 October, 2005.
    [ pdf file ]

  27. M. Betkowski and A. Pownuk, Estimation of the financial risk by using the random variables with the fuzzy parameters and the BPFPRAL language (in Polish), Proceedings of the VII International Scientific Conference, Risk 2005, 33-38, ISBN 83-915990-5-1, Bydgoszcz, Poland, 23-25 October, 2005.
    [ pdf file ]

  28. M. Betkowski and A. Pownuk, Calculating risk of cost using Monte Carlo simulation with fuzzy parameters in civil engineering, Proceeding of the NSF Workshop on Reliable Engineering Computing, Savannah, Georgia, USA, 179-192, September 15-17, 2004.
    [ pdf file ]

  29. A. Pownuk, Efficient method of solution of large scale engineering problems with interval parameters based on sensitivity analysis, Proceeding of the NSF Workshop on Reliable Engineering Computing, Savannah, Georgia, USA, 305-316, September 15-17, 2004.
    [ pdf file ]

  30. A. Pownuk, Reliability of structures with interval and random parameters (in Polish), Proceedings of the II Scientific of Civil Engineering Ph.D. students from the Silesian University of Technology, Scientific Bulletin of the Silesian University of Technology, Civil Engineering Series, Gliwice, Wisla, Poland, 23-24 November, 2001.
    [ pdf file ]

  31. A. Pownuk, Calculation of reliability of structures using random sets, Proceeding of the Symposium on Methods of Artificial Intelligence in Mechanics and Mechanical Engineering, AI-MECH 2001, Gliwice, Poland, 217-220, November 14-16, 2001.
    [ pdf file ]

  32. A. Pownuk, Reliability of structures with interval and random parameters (in Polish), Proceedings of the XL Symposion Modeling in Mechanics, Gliwice, Wisla, Poland, 205-206, 19-23 February, 2001.
    [ pdf file - abstract ] [ pdf file - presentaton ] [ link to conference ]

  33. A. Pownuk, New inlcusion functions in the iterval global optimization (in Polish), Proceedings of the XL Symposion Modeling in Mechanics, Gliwice, Wisla, Poland, 207-208, 23-24 November, 2001.
    [ pdf file - abstract ] [ pdf file - presentaton ] [ link to conference ]

  34. A. Pownuk, Application of the sensitivity analysis for modeling of structures with the interval parameters (in Polish), Proceedings of the XLVI Conference of the Civil Engineering Committee PAS and Science Committee PZiTB, Krynica'2000, 1, 145-152, 2000.
    [ pdf file ]

  35. A. Pownuk, Hybrid interval method for global optimization of engineering structures, Proceeding of the III. slovensko - polsko - czeske sympozium “Nelinearna Mechanika", Faculty of Civil Engineering STU, Slovakia, Bratislava, 125-129, 2000.
    [ pdf file ]

  36. A. Pownuk, Modeling of mechanical structures with uncertain parameters (in Polish), Proceeding of the Workshop “Symulacja 2000", Szczyrk, Poland, 2000.
    [ pdf file ]

  37. A. Pownuk, Calculation of reliability of structures by using interval probability, Proceeding of the Symposium on Methods of Artificial Intelligence in Mechanics and Mechanical Engineering, AI-MECH 2000, Gliwice, Poland, 273-276, 2000.
    [ pdf file ]

  38. A. Pownuk, Hybrid interval and gradient method for optimization of engineering structures (in Polish), Proceedings of the I Scientific of Civil Engineering Ph.D. students from the Silesian University of Technology, Scientific Bulletin of the Silesian University of Technology, Civil Engineering Series, 89, 179-186, Gliwice, Poland, 6 December, 2000.
    [ pdf file ]

  39. A. Pownuk, Interval methods for solution of the equations of dynamics of structures (in Polish), Proceedings of the X Symposium Dynamics of Structures, Rzeszow, Poland, 77-84, 25-26 May 1999.
    [ pdf file ]

  40. E. Majchrzak, M. Jasinski, and A. Pownuk, Modeling of heat transfer in biological tissue by interval Boundary Element Method (in Polish), Proceedings of the IV Scientific Conference “Biomechanics'99”, 305-308, 8-11 October, 1999.
    [ link ]

  41. A. Pownuk, Interval method for optimization of engineering structures (in Polish), Proceedings of the XLV Conference of the Civil Engineering Committee PAS and Science Committee PZiTB, Krynica'99, 135-142, 13-18 September, 1999.
    [ pdf file ]

  42. A. Pownuk, Application of interval global optimization to calculation extreme values of mechanical quantities, Proceedings of the 20 International Scientific Symposium for Students and Young Scientists, Zielona Gora, Poland, Vol. IV “Mechanics", 211-215, 1998.

  43. A. Pownuk, Interval methods for solution of nonlinear algebraic equations in the mechanics of structures (in Polish), Proceedings of the XLIV Conference of the Civil Engineering Committee PAS and Science Committee PZiTB, Krynica'1998, Vol. 1, 187-194, 1998.
    [ pdf file ]

  44. J. Skrzypczyk, A. Pownuk, and G. Nowak, Applications of the theory of fuzzy sets in calculations the theory of strength of materials (in Polish), Proceedings of the Scientific Conference in Occasion of the 70'th Birthday of Prof. Glomb, Gliwice, Poland, 253-262, 1997.

  45. A. Pownuk, Interval methods for solution of system of linear equations of solid mechanics (in Polish), Proceedings of the Scientific and Educational Conference New Trends in Teaching of Mechanics, Kolobrzeg, Poland, 219-228, 1997.

  46. J. Skrzypczyk and A. Pownuk, Fuzzy Finite Element Method (in Polish), Proceedings of the Scientific and Educational Conference New Trends in Teaching of Mechanics, Kolobrzeg, 175-184, 1997.

Published Abstracts

  1. A. Pownuk, I. Skalna, C. Melton, and Hyung Kyung Yi, Solution of Algebraic Equations by Using Self-Adaptive Computational Methods and Machine Learning, Abstracts of the 24rd Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 6, 2019.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  2. A. Pownuk, Applications of Autonomous Computational Methods for Finding Step-by-Step Solutions, Abstracts of the 23rd Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 3, 2018.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  3. A. Pownuk, Applications of Self-Adaptive Computational Methods in Online Learning, Abstracts of the 22th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 7, 2018.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  4. A. Pownuk, I. Skalna, and J. Quezada, Guaranteed Bounds for Solution of Parameter Dependent System of Equations, Abstracts of the 22th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 7, 2018.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  5. A. Pownuk, J. Quezada, I. Skalna, M. V. Rama Rao, and A. Belina, Which Method for Solution of the System of Interval Equations Should we Choose? Abstracts of the 21th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 4, 2017.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  6. A. Pownuk and J. Quezada, A Posteriori Error Bounds for Two Point Boundary Value Problem with Uncertain Parameters, Abstracts of the 20th Sixteenth New Mexico Analysis Seminar, Department of Mathematical Sciences, New Mexico State University, Las Cruces, May 21, 2017.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  7. A. Pownuk, I. Skalna, and J. Quezada, Solution of the Wave Equation with Interval and Random Parameters, Abstracts of the 20th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 8, 2017.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  8. A. Pownuk and V. Kreinovich, Why Linear Interpolation?, Abstracts of the 20th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexic, April 8, 2017.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  9. A. Pownuk, Combining Interval and Probabilistic Uncertainty in Engineering Applications, Abstracts of the 19th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 5, 2016.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  10. A. Pownuk, Approximate method for computing the sum of independent random variables, Abstracts of the 17th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 7, 2015.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  11. A. Pownuk, Fast algorithm for finding lattice subspaces in $R^{n}$ and its implementation, Abstracts of the 16th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, Texas, April 11, 2015.
    [ pdf file - abstract ] [ pdf file - presentation ]

  12. A. Pownuk, I. Skalna, Parallel Methods for Monotonicity Verification, Abstracts of the 13th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, Saturday, April 6, 2013.
    [ pdf file - abstract ] [ link to Workshop ]

  13. A. Pownuk, I. Skalna, and N. K. Goud Ramunigari, Parallel methods for solution of equations with uncertain parameters, Abstracts of the 12th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, Saturday, October 27, 2012.
    [ pdf file - abstract ] [ link to Workshop ]

  14. A. Pownuk, Dependency Problem in the Modeling of Beams with Uncertain Parameters, Abstracts of the 11th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, Saturday, March 31, 2012.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  15. A. Pownuk, Linear dynamics of an elastic beam and plate under moving loads with uncertain parameters, Abstracts of the 10th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, Saturday, November 5, 2011.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  16. A. Pownuk, Finite difference equations with the interval parameters, Abstracts of the 9th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, April 2nd, 2011.
    [ pdf file - abstract ] [ link to Workshop ]

  17. A. Pownuk, Finite difference equations with the interval parameters, Constraint Programming and Decision Making, El Paso, Texas, March 17, 2011.
    [ pdf file - presentation ] [ link to Workshop ]

  18. A. Pownuk, J.I. Alonso, R.A. Casillas Pacheco, A. Chavez, D. Canales, S. Edmundo, and R.W. Arriaga, On-line applications in science and education, Abstracts of the 8th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences. El Paso, Texas, November 13, 2010.
    [ pdf file - abstract ] [ link to Workshop ]

  19. M.V. Rama Rao, A. Pownuk, and S. Vandewalle, Uncertain dynamic response of a simply-supported thin rectangular plate subjected to an impact load. Abstracts of the International Congress on Computational and Applied Mathematics, Leuven, Belgium, July 05-09, 2010.
    [ pdf file - abstract ]

  20. A. Pownuk and M. Betkowski, Calculating risk of cost in civil engineering projects by using imprecise probability and HPC computing, Abstracts of the American Mathematical Society Meetings, Albuquerque, New Mexico, Meeting 1059, April 17-18, 2010.
    [ pdf file - abstract ] [ link to Workshop ]

  21. A. Pownuk, Adaptive Taylor series and its applications in the Interval Finite Element Method, Abstracts of the 7th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 3, 2010.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  22. R. Azizi and A. Pownuk, Parallel method for the solution of stochastic differential equations with the interval parameters, Abstracts of the 7th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 3, 2010.
    [ pdf file - abstract ] [ link to Workshop ]

  23. R. Casillas and A. Pownuk, Parallel web computing, Abstracts of the Southwestern Undergraduate Mathematics Research Conference, The University of Texas at El Paso, Texas, March 5-6, 2010.
    [ pdf file - abstract ] [ link to Conference ]

  24. D. Canales and A. Pownuk, Applications of parallel computing to the solution of equations with the random parameters, Abstracts of the Southwestern Undergraduate Mathematics Research Conference, The University of Texas at El Paso, Texas, March 5-6, 2010.
    [ pdf file - abstract ] [ link to Conference ]

  25. A. Pownuk, Online Homework Assignments and Visualizations in Modern Teaching of Numerical Analysis, Sun Conference on Teaching and Learning, Poster, March 4-5, 2010, The University of Texas at El Paso, Texas, USA.
    [ pdf file - Poster ]

  26. J. Alonso and A. Pownuk, System of equations with random set parameters, Abstracts of the Southwestern Undergraduate Mathematics Research Conference, The University of Texas at El Paso, Texas, March 5-6, 2010.
    [ pdf file - abstract ] [ link to Conference ]

  27. M. Ceberio, V. Kreinovich, A. Pownuk, and BarnabĀ“as Bede, Constraints-related set computations: a new fem-motivated approach to propagating uncertainty, Abstracts of the Second International Conference on Finite Element Methods in Engineering and Science, Reno, Nevada, Dec. 2009.
    [ pdf file - abstract ] [ pdf file ]

  28. A. Pownuk, M.A. Jankowska, and N. K. Ramunigari, Applications of higher order monotonicity tests to the solution of equations with the interval parameters, Abstracts of the Constraint Solving Workshop CoProD 2009, El Paso, Texas, November 9-10, 2009.
    [ pdf file - presentation ] [ link to Conference ]

  29. A. Pownuk, Calculating risk of cost in civil engineering projects by using imprecise probability and the theory of soft sets, Abstracts of the 6th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 7, 2009.
    [ pdf file - abstract ] [ link to Workshop ]

  30. A. Pownuk and M. Ortiz, Topological derivative and its applications to the modeling of uncertainty and optimization, Abstracts of the 5th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences. Las Cruces, New Mexico, April 4th, 2009.
    [ pdf file - abstract ] [ link to Workshop ]

  31. A. Pownuk, Mathematical aspects of grading students' homework in on-line web applications, Abstracts of the 4th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 8, 2008.
    [ pdf file - abstract ] [ link to Workshop ]

  32. M. Ceberio, V. Kreinovich, and A. Pownuk, From interval computations to constraint-related set computations: towards faster estimation of statistics and ODEs under interval and p-box uncertainty constraint programming and decision making, Abstracts of the Workshop Constraint Programming and Decision Making, El Paso, Texas, October 3-4, 2008.
    [ pdf file - presentation ] [ link to Workshop ]

  33. M.V. Rama Rao, A. Pownuk, and D. Moens, Stress analysis of a doubly reinforced concrete beam with uncertain structural parameters, Abstracts of the 13th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations, El Paso, TX, September 29 - October 3, 2008.
    [ pdf file - abstract ] [ link to Conference ]

  34. M.V. Rama Rao, A. Pownuk, and R.L Muhanna, Modeling of failure surface of a reinforced concrete slab with fuzzy loading - an interval approach, Abstracts of the 13th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations, El Paso, Texas, USA, September 29 - October 3, 2008.
    [ pdf file - abstract ] [ link to Conference ]

  35. A. Pownuk and N.K. Goud Ramunigari, Application of order-preserving functions to the modelling of computational mechanics problems with uncertainty, Abstracts of the 13th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations, El Paso, Texas, September 29 - October 3, 2008.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Conference ]

  36. A. Pownuk and A. Rivera, Sensitivity analysis of truss and frame structures with uncertain geometry, Abstracts of the 3rd Joint NMSU/UTEP Workshop on Mathematics and Computer Science, New Mexico State University, Las Cruces, New Mexico, April 26, 2008.
    [ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

  37. A. Pownuk, General Interval FEM Program Based on Sensitivity Analysis Method, Abstracts of the 2nd Joint UTEP/NMSU Workshop on Mathematics and Computer Science, El Paso, Texas, November 17, 2007.
    [ pdf file - abstract ] [ link to Workshop ]

  38. A. Pownuk, Numerical solution of FEM equations with uncertain functional parameters, Abstracts of the Conference FEMTEC , El Paso, TX, December 11-15, 2006.
    [ pdf file - abstract ] [ pdf file - presentation ]

  39. I. Skalna, M.V. Rama Rao, and A. Pownuk, Systems of fuzzy equations in structural mechanics, Abstracts of the FEMTEC, El Paso, TX, December 11-15, 2006.
    [ pdf file - abstract ]

  40. M. Betkowski and A. Pownuk, Applications of the fuzzy algebra for predicting of the financial risk in civil engineering projects (in Polish), Abstracts of the Scientific Conference “Polish Civil Engineering One Year After Accession of Poland to the European Union”, Gdansk, Poland, 9-11 June, 2005.
    [ pdf file ]

  41. M. Betkowski and A. Pownuk, Concept of the random variable with fuzzy parameters and their applications for estimation of the financial risk of civil engineering projects (in Polish), Abstracts of the Scientific Conference “Polish Civil Engineering One Year After Accession of Poland to the European Union”, Gdansk, Poland, 9-11 June, 2005.
    [ pdf file ]

  42. M. Betkowski and A. Pownuk, Estimation of the financial risk of civil engineering project by using fuzzy random variables and Monte Carlo Simulations (in Polish), Abstracts of the Scientific Conference “Polish Civil Engineering One Year After Accession of Poland to the European Union', Gdansk, Poland, 9-11 June, 2005.

  43. A. Pownuk, Worst case finite element computations, Abstracts of the COCONUT meeting, University of Vienna, Vienna, Austria, 14-16 April, 2003.
    [ COCONUT (COntinuous CONstraints - Updating the Technology) ]

  44. A. Pownuk, Numerical solutions of fuzzy partial differential equations and its application in computational mechanics, Abstracts of the Workshop on Assessment and New Directions for Research, Fuzzy Partial Differential Equations, Fuzzy Relational Equations, Fuzzy Difference Equations. BISC Program, University of California-Berkeley, California, USA, March 15-17, 2002.
    [ pdf file - presentation ]

  45. A. Pownuk, Modeling of structures with taking into account uncertainty of the parameters. Abstracts of the XLI Symposium Modeling in Mechanics, Poland, 2002.
    [ pdf file - presentation ]

  46. A. Pownuk, Reliability of structures with fuzzy parameters (in Polish). Abstracts of the XL Symposium Modeling in Mechanics, Poland, 205-206, 19-23 February, 2001.
    [ pdf file - presentation ]

  47. A. Pownuk, New inclusion functions in the interval global optimization (in Polish), Abstracts of the XL Symposium Modeling in Mechanics, Poland, 207-208, 19-23 February, 2001.
    [ pdf file - presentation ]

  48. A. Pownuk, New inclusion functions in interval global optimization of engineering structures, Abstracts of the European Conference on Computational Mechanics, Cracow, 460-461, 26-29 June, 2001.
    [ pdf file - presentation ] [ pdf file - abstract ]

  49. A. Pownuk, Design of systems with uncertain parameters (in Polish), Abstracts of the Symposium Durability of Structures, Kamien Slaski, Poland, 14-15, 2-3 July, 2001.

  50. A. Pownuk, Applications of regular interval Jacobian matrics for modling of mechanical structures with the interval parameters (in Polish), Abstracts of the XXXIX Symposium Modeling in Mechanics, Wisla, Poland, 269-270, 2000.
    [ pdf file - abstract ]

  51. A. Pownuk, Calculation of reliability of structures using fuzzy sets theory, Abstracts of the 32nd Symposium on Mathematical Physics with special session “Symmetries in Nonlinear Systems", Torun, Poland, June 6-10, 2000.
    [ pdf file - poster ]

  52. A. Pownuk, Calculation of displacement in elastic and elastic-plastic structures with interval parameters, Abstracts of the 33rd Solid Mechanics Conference (SolMech2000), Zakopane, Poland, 160-161, 5-9 September, 2000.
    [ presentation ]

  53. A. Pownuk, Applications of sensitivity analysis for modeling of structures with uncertain parameters, Abstracts of the International Conference on Interval Methods in Science and Engineering “Interval'2000”, Karlsruhe, Germany, 116-117, 2000.
    [ pdf file - abstract ]

  54. M. Jasinski and A. Pownuk, Modeling of Heat Transfer in Biological Tissue by Interval FEM, Abstracts of the 14th Polish Conference on Computer Methods in Mechanics (PCCMM'99), Rzeszow, Poland, 127-128, May 26-29, 1999.

  55. A. Pownuk, Optimization of Mechanical Structures using Interval Analysis, 14th Polish Conference on Computer Methods in Mechanics (PCCMM'99), Rzeszow, Poland, May 26-29, 301-302, 1999.
    [ pdf file - abstract ]

  56. A. Pownuk, Applications of Regular Interval Jacobian Matrices to Calculation Extreme Values of Mechanical Quantities, Abstracts of the Workshop Reliable Computations and Interval Algebra, Sozopol, Bulgaria, September 27-29, 1999.
    [ presentation ]

Invited Talks

  1. Automated solution of equations with uncertain parameters, University of Nevada, Reno, Nevada, USA, 04/12/2012.
    https://www.unr.edu
    [ pdf file - abstract ]
    [ pdf file - presentation ]

  2. Modeling of Uncertainty in Computational Mechanics, Presentation for REU Summer Site in Applied Intelligent Systems, The University of Texas at El Paso, El Paso, Texas, USA, 07/02/2010.
    https://www.utep.edu

  3. Modeling of Uncertainty in Computational Mechanics, Presentation for Computational Science Ph.D. students, The University of Texas at El Paso, El Paso, Texas, USA, 04/22/2010.
    https://www.utep.edu
    [ pdf file - presentation ]

  4. Overview of the Methods of Solution for the Equations with the Interval Parameters and its Applications in Structural Mechanics, The University of Texas at El Paso, El Paso, Texas, USA, 09/11/2009.
    https://www.utep.edu

  5. General Interval FEM Program Based on Sensitivity Analysis Method, The University of Texas at El Paso, El Paso, Texas, USA, 09/07/2007.
    https://www.utep.edu

  6. Coordinate free numerics, The University of Texas at El Paso, El Paso, Texas, USA, 08/09/2006.
    https://www.utep.edu
    [ pdf file - presentation ]

  7. Mathematical modeling of uncertainty in computational mechanics, The University of Texas at El Paso, El Paso, Texas, USA, 07/03/2006.
    https://www.utep.edu

  8. Mathematical basis of the design of structures with uncertain parameters, University of Vienna, Vienna, Austria, 10/03/2003.
    https://mathematik.univie.ac.at

  9. Applications of the theory of fuzzy sets for estimation of reliability of civil engineering structures (in Polish), Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland, 05/10/2001.
    http://www.ippt.pan.pl
    [ pdf file - presentation ]

  10. Applications of Interval Analysis in Mechanics, Brno University of Technology, Brno, Czech Republic, 07/20/1999.
    http://www.vutbr.cz/en/

  11. Applications of the interval global optimization for estimation of extreme values of mechanical quantities (in Polish), Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland, 12/04/1997.
    http://www.ippt.pan.pl

  12. Methods for solutions of the system of interval equations and their applications in mechanics (in Polish), Institute of Fundamental Technological Research Polish Academy of Sciences, Warsaw, Poland, 01/23/1997.
    http://www.ippt.pan.pl

Other Scientific Activity

  1. Modeling of Uncertainty in Computational Mechanics, Poster Session, Sandia National Lab, Albuquerque, New Mexico, USA, 01/12/2016.
    https://www.sandia.gov
    [ pdf file - poster ]

  2. Confidential Presentation for Chevron Inc. , Chevron Inc., Houston, Texas, USA, 01/11/2012.
    http://www.chevron.com

  3. Application of Fuzzy Sets Theory to Assessment of Reliability of Civil Engineering Structures, Presentation, Institute of Theoretical Mechanics, Silesian University of Technology, Gliwice, Poland, 05/28/2001.
    https://www.polsl.pl/Wydzialy/RB/RB5/Strony/About.aspx
    [ pdf file - presentation ]



Andrew Pownuk