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From August 27 to September 3, 2013, the Forty-Second National Scientific and Training Conference on Applications of Mathematics took place in Zakopane-Kościelisko at the Siwarna Holiday House.

The Organizing Committee of the Conference was appointed by the Mathematics Committee of the Polish Academy of Sciences in cooperation with the Mathematics Applications Center of the Institute of Mathematics of the Polish Academy of Sciences and the Polish Society of Actuaries.

The goal of the conference was to present mathematical methods applicable in various fields of the national economy, particularly in industry, insurance, finance, banking, railways, transportation, etc.

Participants had the opportunity to present mathematical models they had developed in relevant thematic sessions.

  • Assoc. Prof. Dr. Eugeniusz Fidelis - Honorary Chair

  • Dr. Jan Krzysztof Kowalski - Secretary

  • Prof. Dr. Łukasz Stettner - Chair

  • Prof. Dr. Maksymilian Dryja

  • Assoc. Prof. Dr. Eugeniusz Fidelis

  • Dr. Hab. Henryk Gacki

  • Prof. Dr. Jerzy Gawinecki

  • Prof. Dr. Jacek Jakubowski

  • Prof. Dr. Agnieszka Jurlewicz

  • Prof. Dr. Witold Kosiński

  • Prof. Dr. Wojciech Niemiro

  • Prof. Dr. Zbigniew Peradzyński

  • Prof. Dr. Ryszard Rudnicki

  • Prof. Dr. Łukasz Stettner - Chair

  • Prof. Dr. Krzysztof Szajowski

  • Prof. Dr. Władysław Szczotka

  • Prof. Dr. Tadeusz Trzaskalik

  • Prof. Dr. Aleksander Welfe

  • Prof. Dr. Henryk Woźniakowski

  • Prof. Dr. Wojciech Zajączkowski

  • Prof. Dr. Roman Zmyślony

The program included the following sessions (session organizers are listed in parentheses):

  1. Applications of Mathematical Analysis Methods (Z. Peradzyński and W. Zajączkowski)

  2. Optimal Control and Optimization Methods (J. Jakubowski, Ł. Stettner, and K. Szajowski)

  3. Probabilistic Models and Methods (H. Gacki and K. Szajowski)

  4. Mathematical Statistics Methods (W. Niemiro and R. Zmyślony)

  5. Numerical Analysis and Scientific Computing (M. Dryja and A. Jurlewicz)

  6. Industrial Applications of Mathematics (E. Fidelis and W. Szczotka)

  7. Biomathematics (Z. Peradzyński and R. Rudnicki)

  8. Applications of Mathematics in Insurance (W. Niemiro and Ł. Stettner)

  9. Nonstandard Applications of Mathematics (J. Gawinecki, A. Jurlewicz, and W. Kosiński)

  10. Financial Mathematics (J. Jakubowski and Ł. Stettner)

  11. Applications of Mathematics in Economics (T. Trzaskalik and A. Welfe)

  12. Poster Session (Organizing Committee)

  13. Who Knows How to Solve This? (Organizing Committee)

August 27, 2013 (Tuesday)

Morning Session
9:00 AM Conference Opening
9:15 AM Wojciech Niemiro
MCMC Algorithms: Accuracy Estimates and Resampling
10:15 AM Jacek Jakubowski
Models of Linear Stochastic Volatility
11:00 AM Break
11:30 AM Henryk Woźniakowski
The Curse of Dimensionality and How to Overcome It
12:30 PM Stanisław Grzegórski
Optimal Parameter Selection for the Gauss-Seidel Method
Afternoon Session
15.00 Maksymilian Dryja
Principles of Designing Parallel Algorithms for Discretization of Partial Differential Equations
15.45 Grzegorz Sługocki
On certain problems concerning the approximation with interpolatory constraints
16.15 Paweł Keller, Iwona Wróbel
Calculating Sequences and Series of Bessel Functions of the First Kind in Maple and Matlab Systems
16.45 Paweł Woźny
Construction of Dual B-spline Functions and Their Applications
17.15 Jacek Bojarski, Jan Cichocki, Agnieszka Ważna
Mathematical Model of Myotis myotis Clusters during Hibernation
19.00 Open Meeting of the Committee on Applications of Mathematics PAN
Program:
  1. Opening of the meeting
  2. Issues in the Evaluation of Doctorates and Habilitations in Applications of Mathematics and Statistics — Prof. Ewa Damek (KZM member)
  3. Changes in Procedures for Granting Scientific Degrees and Titles — Prof. Łukasz Stettner (CK member)
  4. Summary of the Online Discussion on Applications of Mathematics in Poland — Prof. Maksymilian Dryja (KZM Chairman)
  5. Current Issues
     
    • a) The situation of the journal *Matematyka Stosowana*. It will be presented by a representative of *Matematyka Stosowana*
    • b) Remarks and free motions

28 August 2013 (Wednesday)

Morning Session
9.00 Bronisław Jakubczyk
Generalized Control and Mobile Robots
9.45 Mariusz Jurkiewicz
Application of Morse Theory to the Problem of the Existence of Multiple Solutions in Higher Order Boundary Problems with Parameters
10.20 Sylwia Barnaś
Existence of Solutions for a Certain Hemivariational Inequality with p(x)-Laplacian
10.50 Break
11.30 Maciej Sablik
Additivity of Insurance Premium Presentation
12.15 Jacek Jakubowski, Adam Pytel
Weak and Strong Markovian Concordance of the Archimedean Survival Process — Theory and Applications
Afternoon Session
15.00 Dariusz Zawisza
Robust Optimization of Consumption and Investment on an Infinite Horizon
15.30 Przemysław Rola
Arbitrage and Asymptotic Arbitrage in Markets without Short Selling and with Proportional Transaction Costs
16.00 Break
16.15 – 18.00 Poster Session
19.00 – 20.30

Poster Session

Artur Bryk
Consistency in a Randomized Regression Model for Strongly Dependent Errors

Izabela D. Czabak-Górska
Structural Determination of the Reliability of Any Series-Parallel System Based on the Morphological Table of Reliability Functions for Non-Simultaneously Operating Elements

Marian A. Partyka, Izabela D. Czabak-Górska
Structural Determination of the Reliability of Any Series-Parallel System Based on the Morphological Table of Reliability Functions for Typical Elements

Adam Deptuła
Comprehensive Complexity Coefficient for Parametrically Solving Structures from the Signal Flow Dependency Graph

Adam Deptuła
Parametric Play Structures in Semantic Terms

Adam Deptuła, Marian A. Partyka
Comprehensive Complexity Coefficient for Parametrically Solving Structures in Discrete Optimization of a Gear Pump with Undercut Tooth Base

Janusz Gajda
Financial Applications of Subordinated Tempered α-Stable Processes

Mieczysław Gruda, Włodzimierz Rembisz
The Process of Reaching Equilibria and Their Stability in a Competitive Market. Relationships between Price Dynamics, Product Demand, and Supply

Monika Grzeżułkowska
Interest Rate on Investments

Marian Liskowski
Approximation by Smooth Functions in Sobolev Spaces "with Mixed Functions"

Jarosław Łazuka, Henryk Kołakowski
Ellipticity of the Boundary Problem for the System of Thermoelasticity Equations for Complex Materials

Michał Bernard Pietrzak
Application of Random Fields for Irregular Areas

Barbara Popowska
Geometric Approximation of the Shifted Pascal Distribution Describing the Reliability of Critical Infrastructure

Grzegorz Sikora, Krzysztof Burnecki
Estimation of FARIMA Series Parameters in Case of Negative Memory and Stable Noise

Marian A. Partyka, Agnieszka Tiszbierek
Importance Ranking of Interaction Variables Describing Construction-Operational Parameters in Machine System Optimization

Agnieszka Tiszbierek
Determining the Importance Ranking of Interaction Variables Describing Construction-Operational Parameters in Automation and Control Systems

Małgorzata Zbąszyniak, Zenon Zbąszyniak
On Some Types of Stability for Systems of Difference Equations

 

29 August 2013 (Thursday)

Morning Session
9.00 Łukasz Stettner
Problems of Optimal Stopping with Incomplete Observation
9.45 Grigory Sklyar, Piotr Polak
Asymptotics of Solutions for Delay Systems of Neutral Type and Their Applications
10.20 Arkadiusz Misztela
Lipschitz Minimizers in Optimization Problems
10.50 Break
11.30 Wiesław Grygierzec
On a Certain Control Problem for a Stochastic Diffusion Equation in Hilbert Space with a Non-Convex Set of Controls
12.00 Dominika Bogusz, Mariusz Górajski
The Impact of Consumer Recommendations on Advertising Strategies in a Product Reputation Model with Market Segmentation
12.30 Dominika Bogusz, Mariusz Górajski
Time-Optimal Advertising Strategies in a Segmented Market
Afternoon Session
15.00 Przemysław Gospodarczyk
Reducing the Degree of Bézier Curves with Control Point Variation Constraints
15.30 Joanna Krasińska
Existence and Properties of Solutions to Stochastic Equations with Respect to Semimartingales
16.00 Agnieszka Kulawik, Stefan Zontek
Robust Parameter Estimation in a Multivariate Normal Model
16.30 Beata Staśkiewicz
Mathematical Modeling of Phase Systems
17.00 Dmytro Topchyi
The Theory of Plafales: Applications of New Cryptographic Algorithms and Platforms in the Military Complex, IT, Banking System, and Financial Market
19.30 Bonfire
 

30 August 2013 (Friday)

Morning Session
9.00 Tadeusz Inglot, Alicja Janic
Adaptive Tests for Univariate Symmetry
9.30 Wiesława Dąbała
Application of Response Randomization in Sensitive Questions for Fraction Estimations in Representative Studies
10.00 Piotr Nowak
Statistical Inference Based on Censored Samples
10.30 Break
11.30 Mykola Bratiichuk
M/M/c/N Queueing Systems with Retrials and Threshold Strategy
Afternoon Session
15.00 Grzegorz Bartosz, Henryk Gacki
Asymptotic Stability of Markov Semigroups on Measures in Total Variation Norm
15.30 Teresa Rajba
On the Application of Integral Representations of Convex Functions of n-th Order
16.00 Marek Śmieja
Spherical Clustering in Metric Space
16.30 Kamil Łukasz Świątek, Maciej Kozaryn
Multivalued Stochastic Equations on the Plane
17.00 Maciej Kozaryn, Mariusz Michta, Kamil Świątek
Relations Between Solutions of Stochastic Inclusions and Multivalued Stochastic Equations
19.30 "Who Knows How to Solve It?"
 

31 August 2013 (Saturday)

Morning Session
9.00 Tomasz Kijko, Krzysztof Mańk, Michał Wroński
Analysis of Factorization Time of Large Numbers Depending on the Number of Prime Factors
9.45 Piotr Bora, Łukasz Dzieł
Implementation Capabilities of SHA2 Family Hash Functions
10.20 Witold Kosiński, Tomasz Kuśmierczyk, Marcin Sydow
Node Summarization in Semantic Knowledge Graphs as an Optimization Problem
11.00 Break
11.30 Zbigniew Peradzyński
Mathematical Modeling of Plasma in Ion Engines
12.15 Wojciech Zajączkowski
Regular Global Axisymmetric Solutions of the Navier-Stokes Equations
15.00 – 18.00 Visit to the Karol Szymanowski Museum in the Atma Villa, accompanied by a piano concert performed by Ayaka Meiwa and Prof. Tadeusz Trzaskalik
19.00 Gala Dinner
 

2 September 2013 (Monday)

Morning Session
9.00 Witold Kosiński, W. Konrad Kosiński, Rafał Muniak
Directed Fuzzy Numbers in Managerial Accounting — Applications
9.30 Dorota Górecka, Małgorzata Szałucka
International Expansion of Enterprises — Target Market Selection Using Multicriteria Methods
10.00 Dominika Bogusz, Mariusz Górajski, Magdalena Ulrichs
Monetary Policy Strategies for Poland in a Stochastic Optimal Control Problem
10.30 Zdzisław Stempień
A Mathematical Growth Model for a System of Multiple Economies
11.00 Break
11.30 Piotr Śliwka
Econometric Modeling of Reverse Mortgages
12.00 Marta Kornafel
Viscosity Modeling in Economics — Advantages and Disadvantages
Afternoon Session
15.00 Ryszard Rudnicki
Phenotypic Models
16.00 Michał Wychowański and others
A Method for Assessing Functional Fitness of Athletes and Orthopedic Patients
 

3 September 2013 (Tuesday)

Morning Session
9.00 Jerzy Kapelewski
Defective Localization of EM Vibrations in Planar Superlattice Systems
9.30 Bogdan Lila, Jerzy Kapelewski
On a Certain Transition Matrix Model in Planar Composites
10.00 Conference Closing

 

(20.8.2013)

1. MSc Sylwia Barnaś Cracow University of Technology, Inst. of Mathematics
2. Prof. Dr. Stanisław Białas WSZiB Kraków
3. Dr. Dominika Bogusz University of Łódź, Inst. of Econometrics
4. Dr. Jacek Bojarski University of Zielona Góra
5. Dr. Eng. Piotr Bora Military University of Technology, Warsaw
6. Prof. Dr. Mykola Bratiichuk Silesian University of Technology, Inst. of Mathematics
7. Dr. Artur Bryk Warsaw School of Economics
8. Dr. Katarzyna Brzozowska-Rup Kielce University of Technology
9. MSc Izabela Czabak-Górska Opole University of Technology
10. Prof. Dr. Ewa Damek University of Wrocław
11. MSc Wiesława Dąbała CBS IFiS PAN
12. Eng. MSc Adam Deptuła Opole University of Technology, Faculty of Production Engineering
13. MSc Andrzej Dietrich Oil and Gas Institute, Kraków
14. Prof. Dr. Maksymilian Dryja University of Warsaw, Inst. of Applied Mathematics
15. Dr. Jadwiga Dudkiewicz Kielce University of Technology
16. Doc. Dr. Eugeniusz Fidelis IM PAN Warsaw
17. Prof. Dr. Szczepan Figiel Inst. of Agricultural and Food Economics — National Research Institute
18. MSc Krzysztof Gachewicz PZU Życie SA
19. Dr. Henryk Gacki University of Silesia, Inst. of Mathematics
20. Eng. MSc Janusz Gajda Wrocław University of Science and Technology
21. Prof. Dr. Jerzy Gawinecki Military University of Technology, Warsaw
22. MSc Przemysław Gospodarczyk University of Wrocław, Inst. of Computer Science
23. Dr. Michał Góra AGH University of Science and Technology, Kraków
24. Dr. Mariusz Górajski University of Łódź, Dept. of Econometrics
25. Dr. Dorota Górecka Nicholas Copernicus University, Toruń, Faculty of Economic Sciences and Management
26. Dr. Mieczysław Gruda Inst. of Agricultural and Food Economics — National Research Institute
27. Eng. Dr. Wiesław Grygierzec Hugo Kołłątaj University of Agriculture in Kraków
28. Dr. Stanisław Grzegórski Lublin University of Technology, Inst. of Computer Science
29. Monika Grzeżułkowska Pomeranian Academy in Słupsk, Inst. of Mathematics
30. Prof. Dr. Bronisław Jakubczyk IM PAN Warsaw
31. Prof. Dr. Jacek Jakubowski University of Warsaw, Inst. of Mathematics, Warsaw University of Technology, Faculty of MiNI
32. MSc Elżbieta Janas PZU Życie SA
33. Eng. Dr. Alicja Janic Wrocław University of Science and Technology, Inst. of Mathematics and Computer Science
34. Eng. MSc Kamil Jodź Wrocław University of Environmental and Life Sciences
35. Dr. Mariusz Jurkiewicz Military University of Technology, Warsaw
36. Dr. Eng. Agnieszka Jurlewicz Wrocław University of Science and Technology, Inst. of Mathematics and Computer Science
37. Doc. Dr. Andrzej Just Lodz University of Technology, Center for Mathematics and Physics Education
38. Prof. Dr. Jerzy Kapelewski Military University of Technology, Warsaw
39. Dariusz Kasprzycki Pomeranian Academy in Słupsk, Inst. of Mathematics
40. Dr. Paweł Keller Warsaw University of Technology, Faculty of MiNI
41. Eng. MSc Tomasz Kijko Military University of Technology, Warsaw
42. MSc Marta Kornafel Cracow University of Economics
43. Prof. Dr. Witold Kosiński Polish-Japanese Academy of Information Technology, Warsaw
44. Dr. Jan Krzysztof Kowalski IM PAN Warsaw
45. MSc Maciej Kozaryn University of Zielona Góra
46. MSc Joanna Krasińska University of Zielona Góra
47. Eng. MSc Justyna Kufel Inst. of Agricultural and Food Economics — National Research Institute
48. Dr. Agnieszka Kulawik University of Silesia, Inst. of Mathematics
49. Hanna Kwiatkowska Pomeranian Academy in Słupsk, Inst. of Mathematics
50. Dr. Eng. Bogdan Lila Military University of Technology, Warsaw
51. Dr. Marian Liskowski Poznań University of Technology, Inst. of Mathematics
52. MSc Paweł Łapuć PZU Życie SA
53. Dr. Jarosław Łazuka Military University of Technology, Warsaw, Inst. of Mathematics and Cryptology
54. Prof. Dr. Grzegorz Łukaszewicz University of Warsaw, Faculty of Mathematics
55. Eng. MSc Krzysztof Mańk Military University of Technology, Warsaw
56. Monika Maszota Pomeranian Academy in Słupsk, Inst. of Mathematics
57. Dr. hab. Mariusz Michta University of Opole
58. Dr. Arkadiusz Misztela University of Szczecin, Inst. of Mathematics
59. MSc Przemysław Mogiłka PZU Życie SA
60. Eng. MSc Agnieszka Mruklik Wrocław University of Environmental and Life Sciences
61. Prof. Dr. Wojciech Niemiro Nicolaus Copernicus University in Toruń, Faculty of Mathematics and Computer Science
62. Dr. Piotr Nowak University of Opole, Inst. of Mathematics
63. Prof. Dr. Antoni Pardała Rzeszów University of Technology, Department of Mathematics
64. Prof. Dr. Bożenna Pasik-Duncan University of Kansas, Lawrence, U.S.A.
65. Prof. Dr. Zbigniew Peradzyński University of Warsaw, Inst. of Applied Mathematics and Mechanics
66. Dr. Michał Bernard Pietrzak Nicolaus Copernicus University in Toruń, Faculty of Economic Sciences and Management
67. Dr. med. Walerian Piotrowski Institute of Cardiology
68. MSc Piotr Polak University of Szczecin, Faculty of Mathematics and Physics
69. Eng. Dr. Barbara Popowska Poznań University of Technology, Inst. of Mathematics
70. MSc Adam Pytel Warsaw University of Technology, Faculty of MiNI
71. Dr. Teresa Rajba University of Bielsko-Biała, Academy of Technology and Humanities
72. Prof. Dr. Włodzimierz Rembisz Inst. of Agricultural and Food Economics — National Research Institute
73. MSc Przemysław Rola Jagiellonian University, Inst. of Mathematics
74. Prof. Dr. Ryszard Rudnicki IM PAN Katowice
75. Karolina Rusak Pomeranian Academy in Słupsk, Inst. of Mathematics
76. Prof. Dr. Maciej Sablik University of Silesia, Inst. of Mathematics
77. MSc Grzegorz Sikora Wrocław University of Science and Technology
78. Prof. Dr. Zofia Sikorska-Piwowska Medical University of Warsaw
79. Eng. MSc Grzegorz Sługocki Warsaw University of Technology, Faculty of Power and Aeronautical Engineering
80. Eng. MSc Beata Staśkiewicz University of Wrocław, Inst. of Experimental Physics
81. Dr. Zdzisław Stempień Lodz University of Technology, Center for Mathematics and Physics Teaching
82. Prof. Dr. Łukasz Stettner IM PAN Warsaw
83. MSc Anna Sulima Jagiellonian University, Inst. of Mathematics
84. Dr. Marcin Sydow PJWSTK Warsaw and IPI PAN
85. Prof. Dr. Krzysztof Szajowski Wrocław University of Science and Technology, Inst. of Mathematics and Computer Science
86. Prof. Dr. Władysław Szczotka University of Wrocław, Inst. of Mathematics
87. Dr. Piotr Śliwka UKSW Warsaw, Faculty of Mathematics and Natural Sciences
88. MSc Marek Śmieja Jagiellonian University
89. Eng. MSc Kamil Łukasz Świątek University of Zielona Góra
90. Eng. MSc Agnieszka Tiszbierek Opole University of Technology
91. MSc Dmytro Topchyi Nova Top Tech Warka
92. Prof. Dr. Tadeusz Trzaskalik University of Economics in Katowice
93. Dr. Magdalena Ulrichs University of Łódź, Department of Econometrics
94. Prof. Dr. Aleksander Welfe University of Łódź, National Bank of Poland
95. Prof. Dr. Henryk Woźniakowski University of Warsaw, Inst. of Applied Mathematics
96. Dr. Paweł Woźny University of Wrocław, Inst. of Computer Science
97. Eng. MSc Michał Wroński Military University of Technology, Warsaw
98. Eng. Dr. Iwona Wróbel Warsaw University of Technology, Faculty of Mathematics and Information Sciences
99. Dr. hab. Michał Wychowański Academy of Physical Education, Warsaw
100. Prof. Dr. Wojciech Zajączkowski IM PAN Warsaw
101. Dr. Dariusz Zawisza Jagiellonian University, Inst. of Mathematics
102. Eng. Dr. Zenon Zbąszyniak Poznań University of Technology, Inst. of Mathematics
103. Prof. Dr. Roman Zmyślony University of Opole