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49th Conference

From September 20 to 25, 2021, the Forty-Ninth National Scientific and Training Conference on Applications of Mathematics was held at the AMW Rewita Kościelisko center in Zakopane-Kościelisko.

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

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

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

Starting from the 30th Conference, an annual award for young mathematicians (under 32 years old) is given for the best presentation delivered at the conference. To participate in the competition, in addition to the abstract, a more extensive version of the work (e.g., preprint, reprint) must be submitted. 

poster pdf

Competition Rules for Young Mathematicians for the Best Presentation at the Conference on Applications of Mathematics

  1. Participants in the Competition must be under 32 years old as of January 1 of the year in which the Conference is held.

  2. To participate in the Competition, the registration form available on the Conference website must be completed and submitted to the Organizing Committee. By the deadline specified in Communication No. 1, an abstract of the presentation must be submitted, and before the start of the Conference, an extended version of the work (e.g., preprint, reprint) must also be provided.

  3. After reviewing the topics of the submissions, the Program Council appoints the Competition jury.

  4. Jury members attend the presentations of the Competition participants and then evaluate them, taking into account:

    • The quality of the results obtained,

    • Clear formulation of the problem,

    • Clear presentation of the solution,

    • The correctness of the presentation structure,

    • The correctness of the language,

    • Care in preparing the materials,

    • Effective use of the time allocated for the presentation,

    • Communicativeness in discussion.

  5. The jury's decision is announced during the formal dinner.

  • Prof. Dr. hab. Małgorzata Bogdan

  • Dr. hab. Tomasz Cieślak - Deputy Chair

  • Dr. hab. Henryk Gacki

  • Prof. Dr. hab. Jerzy Gawinecki

  • Prof. Dr. Piotr Gwiazda

  • Dr. hab. Marek Męczarski

  • Dr. hab. Krzysztof Mizerski

  • Prof. Dr. hab. Wojciech Niemiro

  • Dr. Mariusz Niewęgłowski

  • Prof. Dr. hab. Leszek Plaskota

  • Prof. Dr. hab. Teresa Regińska

  • Prof. Dr. hab. Ryszard Rudnicki

  • Prof. Dr. hab. Maciej Sablik

  • Prof. Dr. hab. Łukasz Stettner - Chair

  • Prof. Dr. hab. Krzysztof Szajowski

  • Prof. Dr. hab. Tadeusz Trzaskalik

  • Prof. Dr. hab. Wojciech Zajączkowski

  • Łukasz Stettner - Chair

  • Jan Krzysztof Kowalski - Secretary

  • Damian Jelito

  • Agnieszka Rygiel

The program includes the following sessions:

  1. Applications of mathematical analysis methods,

  2. Optimal control and optimization methods,

  3. Probabilistic models and methods,

  4. Methods of mathematical statistics,

  5. Numerical analysis and scientific computing,

  6. Industrial applications of mathematics,

  7. Biomathematics,

  8. Applications of mathematics in insurance,

  9. Non-standard applications of mathematics,

  10. Financial Mathematics,

  11. Applications of Mathematics in Economics,

  • Poster Session (Organizing Committee),

  • Who knows how to solve this? (Organizing Committee).

September 20, 2021 (Monday)

Morning Session
9:00 Conference Opening
9:15 Piotr Gwiazda
The Euler System, Onsager’s Conjecture, and Lavrientiev Gap in Calculus of Variations
10:15 Anna Jaśkiewicz
Markov Decision Processes with Quasi-Hyperbolic Discounting
11:00 Break
11:30 Wojciech Mitkowski
Effectiveness of Control Theory Methods
12:15 Krzysztof A. Mizerski
Renormalization of Magnetohydrodynamics Equations
Afternoon Session
15:00 Tadeusz Trzaskalik
Utilization of Indicator Vectors in the Multi-Stage BIPOLAR Method
15:30 Agnieszka Lipieta
The Role of Creative Destruction within Economic Evolution
16:00 Sebastian Baran, Przemysław Rola
Predicting Car Insurance Claims Using Machine Learning Methods
16:30 Anna Denkowska, Stanisław Wanat
Application of MST-DTW Models in Assessing Systemic Risk in the Insurance Sector
20:00 Open Meeting of the Committee on Applications of the Mathematics Committee of the Polish Academy of Sciences

September 21, 2021 (Tuesday)

Morning Session
9:00 Tomasz Komorowski
Evolution of Thermal and Mechanical Energy in a One-Dimensional Conductor
9:45 Mykola Bratiichuk
Optimization Problems for Retrial Systems with Changeable Service Rate
10:30 Tymoteusz Chojecki
A Probabilistic Proof of A Priori Lp Estimates for a Class of Divergence Form Elliptic Operators
11:00 Break
11:30 Henryk Gacki
Measure-Theoretic Models of Particle Collisions in a Rarefied Gas
12:00 Jakub Bielawski
Follow-the-Regularized-Leader Routes to Chaos in Routing Games
  Concert

September 22, 2021 (Wednesday)

Morning Session
9:00 Małgorzata Bogdan
Convex Optimization Applied to Large Data Set Analysis
9:45 Wojciech Niemiro
Surveys Containing Sensitive Questions: Nonparametric Model, Maximum Likelihood Estimators, and EM Algorithm
10:30 Wojciech Rejchel
Fast and Robust Feature Selection in High-Dimensional Models
11:00 Break
11:30 Grzegorz Wyłupek
Nonparametric Test in the Two-Sample Problem for Paired Data
12:00 Rafał Witkowski, Bartosz Zaleski
Biometric Signature Research - Correlation of Signatures on Paper and Tablets
12:30 Marta Zalewska, Joanna Słomko, Wojciech Niemiro
Meta-Analysis: The Example of Aerobic Exercise Effects in Patients with Non-Alcoholic Fatty Liver Disease
Afternoon Session
15:00 Andrzej Kałuża
On the Optimal Approximation of Solutions to Stochastic Differential Equations with Jumps on a Uniform Grid
15:30 Tomasz Bochacik, M. Goćwin, P. Morkisz, P. Przybyłowicz
Randomized Numerical Algorithms for Ordinary Differential Equations
16:00 Zofia Wróblewska
Stability of Fixed Points in an Approximate Solution of the Spring-Mass Running Model
16:30 Poster Session
  Beata Ciałowicz
The Impact of Innovative Competition on the Demand Sphere - An Axiomatic Approach
  Jerzy Klamka
Controllability of Systems with Delays
  Robert Kruszewski
Nonlinear Hicks Model with Cubic Investment Function. Further Results
  Andrzej Ossowski
The Signal Flow Graph Based Approach to the Analysis and Synthesis of Complex Combinational Logic Circuits
  Andrzej Ossowski
The Application of Differential Inclusions to the Problem of Stability of Uncertain Dynamical Systems
19:00 Bonfire

September 23, 2021 (Thursday)

Morning Session
9:00 Leszek Plaskota
Asymptotic Analysis of Adaptive Methods for Function Approximation and Integration
9:45 Paweł Woźny, Filip Chudy
New Properties and Fast Evaluation of Dual Bernstein Polynomials
10:20 Natalia Czyżewska, Paweł M. Morkisz, Paweł Przybyłowicz
Numerical Approximation of Solutions to Initial Value Problems with Delay under Nonstandard Assumptions
10:55 Break
11:30 Leszek Marcinkowski, Talal Rahman
Adaptive Average Schwarz Method for Crouzeix-Raviart Discretization of Multiscale Elliptic Problems
12:00 Teresa Regińska
Numerical Methods in Ill-Posed Problems
Afternoon Session
15:00 Rafał Łochowski
CIR Equations with Lévy Processes
15:30 Łukasz Stettner
Risk-Sensitive Portfolio Optimization with Proportional Transaction Costs
16:00 Agnieszka Rygiel
Valuation Using Utility Function
16:30 Mariusz Niewęgłowski
Multidimensional Hawkes Processes and Their Consistencies
19:00 Gala Dinner

September 24, 2021 (Friday)

Morning Session
9:00 Wojciech M. Zajączkowski, Joanna Rencławowicz
Global Existence of Solutions for Inhomogeneous Navier-Stokes Equations in Cylindrical Domains with Large Flow
9:45 Joanna Rencławowicz, Wojciech M. Zajączkowski
Local Solutions for Inhomogeneous Navier-Stokes Equations with Large Influence
10:20 Arkadiusz Misztela
Representations of Convex Hamiltonians with Sublinear Growth
10:55 Break
11:30 Krzysztof J. Szajowski
Expected Times for Executing Optimal Stopping Moments
12:10 Damian Jelito
Optimal Impulse Strategies for Long-Term Risk-Sensitive Control Problems
Afternoon Session
15:00 Ryszard Rudnicki
Dynamics of Antibody Levels: Asymptotic Properties
15:45 Radosław Wieczorek
Hybrid Stochastic Model of Reproducing Cells with Chemotaxis
16:15 Adrian Karpowicz
Method of Lines for the Kinetic Equation of Swarm Formation

September 25, 2021 (Saturday)

Morning Session
9:00 Zbigniew Peradzyński, Bogdan Kaźmierczak, Sławomir Białecki
Calcium Waves Sustained by Calcium Influx through Mechanically Activated Calcium Channels in the Cell Membrane
9:45 Closing of the conference

 List of Participants

(13.9.2021)

XLIX KZM

1. Dr. Sebastian Baran Cracow University of Economics
2. Dr. Jakub Bielawski Cracow University of Economics
3. MSc Tomasz Bochacik AGH University of Science and Technology, Kraków
4. Prof. Dr. hab. Małgorzata Bogdan University of Wrocław
5. Prof. Dr. hab. Mykola Bratiichuk Silesian University of Technology, Inst. of Mathematics
6. Dr. Tymoteusz Chojecki IMPAN, Warsaw
7. Dr. hab. Beata Ciałowicz Cracow University of Economics, Dept. of Mathematics
8. Dr. hab. Tomasz Cieślak IMPAN, Warsaw
9. MSc Natalia Czyżewska AGH University of Science and Technology, Kraków
10. Dr. Anna Denkowska Cracow University of Economics
11. Dr. hab. Henryk Gacki University of Silesia, Inst. of Mathematics
12. Prof. Dr. hab. Eng. Jerzy Gawinecki Military University of Technology, Warsaw
13. Dr. Mieczysław Gruda Warsaw
14. Prof. Dr. hab. Piotr Gwiazda University of Warsaw
15. Prof. Dr. hab. Anna Jaśkiewicz Wrocław University of Science and Technology, Inst. of Mathematics and Computer Science
16. MSc Damian Jelito Jagiellonian University, Kraków
17. Prof. Andrzej Just Lodz University of Technology, Center for Teaching Math and Physics
18. Dr. Andrzej Kałuża AGH University of Science and Technology, Kraków
19. Dr. Adrian Karpowicz University of Gdańsk, Inst. of Mathematics
20. Prof. Dr. hab. Eng. Jerzy Klamka Institute of Theoretical and Applied Informatics, PAS
21. Prof. Dr. hab. Tomasz Komorowski IMPAN, Warsaw
22. Prof. Dr. hab. Robert Kruszewski SGH Warsaw School of Economics, Dept. of Math. and Mathematical Economics
23. Dr. Agnieszka Kulawik University of Silesia, Inst. of Mathematics
24. Dr. hab. Agnieszka Lipieta Cracow University of Economics, Dept. of Mathematics
25. Dr. hab. Rafał Łochowski SGH Warsaw School of Economics
26. Dr. hab. Leszek Marcinkowski University of Warsaw, Faculty of Mathematics, Informatics and Mechanics
27. Dr. Arkadiusz Misztela University of Szczecin, Inst. of Mathematics
28. Prof. Dr. hab. Eng. Wojciech Mitkowski AGH University of Science and Technology, Kraków, Dept. of Automation and Robotics
29. Dr. hab. Krzysztof Mizerski Institute of Geophysics, PAS
30. Prof. Dr. hab. Wojciech Niemiro University of Warsaw, Faculty of Mathematics, Informatics and Mechanics
31. Dr. Eng. Mariusz Niewęgłowski Warsaw University of Technology, Faculty of Mathematics and Information Science
32. Prof. Dr. hab. Andrzej Nowak University of Zielona Góra, Faculty of Mathematics, Informatics and Econometrics
33. Dr. Eng. Andrzej Ossowski Military University of Technology, Warsaw
34. Prof. Dr. hab. Zbigniew Peradzyński Institute of Fundamental Technological Research, PAS, Warsaw
35. Prof. Dr. hab. Leszek Plaskota University of Warsaw, Inst. of Applied Mathematics
36. Prof. Dr. hab. Teresa Regińska IMPAN, Warsaw
37. Dr. Wojciech Rejchel University of Warsaw
38. Dr. hab. Joanna Rencławowicz IM PAN Warsaw
39. Dr. Przemysław Rola Cracow University of Economics
40. Prof. Dr. hab. Ryszard Rudnicki IM PAN Katowice
41. Dr. Agnieszka Rygiel Cracow University of Economics
42. Prof. Dr. hab. Maciej Sablik University of Silesia, Inst. of Mathematics
43. Prof. Dr. hab. Łukasz Stettner IM PAN Warsaw
44. Prof. Dr. hab. Eng. Krzysztof Szajowski Wrocław University of Science and Technology, Dept. of Mathematics
45. Prof. Dr. hab. Tadeusz Trzaskalik University of Economics in Katowice
46. Dr. Radosław Wieczorek University of Silesia, Inst. of Mathematics
47. Dr. Rafał Witkowski Adam Mickiewicz University in Poznań, Faculty of Mathematics and Informatics
48. Dr. hab. Paweł Woźny University of Wrocław, Inst. of Computer Science
49. MSc Eng. Zofia Wróblewska Wrocław University of Science and Technology
50. Dr. Grzegorz Wyłupek University of Wrocław, Inst. of Mathematics
51. Prof. Dr. hab. Wojciech Zajączkowski IM PAN Warsaw
52. Dr. hab. Marta Zalewska Medical University of Warsaw