Plan zajęć
Dydaktyka
Równania - http://www.math.uni.wroc.pl/sites/default/files/rr1-24-lista1.pdf http://www.math.uni.wroc.pl/sites/default/files/filefield_paths/rr1-24-lista1.pdf
Chemia - https://www.math.uni.wroc.pl/sites/default/files/filefield_paths/lista1-1.pdf
Model - http://math.uni.wroc.pl/sites/default/files/filefield_paths/f63daa9d-63d8-4f1d-8a1c-0e231de55332.png
http://math.uni.wroc.pl/sites/default/files/filefield_paths/db2440c7-6b40-4485-b960-df3e50d86ccc.png
https://www.programiz.com/python-programming/function https://www.programiz.com/python-programming/list
https://www.math.uni.wroc.pl/sites/default/files/lst_mod_det_1.pdf_-_dysk_google.pdf
https://sites.google.com/math.uni.wroc.pl/maciek-tadej/teaching/mod_det-lab-1-2324?authuser=0
https://stackoverflow.com/questions/43010190/python-discrete-differentiation
import numpy as np
h=0.1
print(h)
xp = [h*i for i in range(1,10)]
yp = [round(np.cos(i*h),2) for i in range(1,10)]
#print(xp[1])
#yp = np.array([1:10])
#for i in range(0,9):
# xp[i]=i*h
# yp[i]=round(np.cos(i*h),2)
# print(round(np.cos(i*h),2))
#import matplotlib.pyplot as plt
#plt.plot(xp,yp)
#plt.show()
print(xp[0:])
print(xp[:-1])
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wszystkie | licencjackie | magisterskie
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Temat pracy
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 W przypadku wielu autorów pracy data odnosi się do egzaminu przeprowadzonego najwcześniej.
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Database indexes
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Construction of decision trees using the chi-square criterion
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Building decision tree using entropy
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Tautochrone problem modeled by a differential equation
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Przemieszczanie się po grafach skierowanych zastosowane do problemu mapowania ścieżek w resorcie narciarskim
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Selected elements of linear and logarithmic regression
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Equation describing the ideal-carving technique
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Optimal solutions for certain differential equations
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Selected differential equations modeling the growth of tumors
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RSA encryption
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The Runge–Kutta method to solve differential equation implemented in Python
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Differential equations with single delay - theory and applications
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The Mountain Pass Theorem
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Model regarding the deformation of labels glued to bottles
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System of differential equations modelling criminal behaviour.
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Publikacje
- D. Bors, R. Stańczy, Mathematical model for Sagittarius A* and related Tolman-Oppenheimer-Volkoff equations, Mathematical Methods in the Applied Science 46 (2023), 12052-12063, PDF
- D. Bors, R. Stańczy, Dynamical system describing cloud of particles, Journal of Differential Equations 342 (2023), 21-33
- D. Bors, R. Stańczy, Existence and multiplicity results for Dirichlet problem with fractional laplacian and nonlinearity, Journal of Fixed Point Theory and Applications 23 (2021), 1-16
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D. Bors, R. Stańczy, Models of particles of the Michie-King type, Communications in Mathematical Physics 382 (2021), 1243-1262
- D. Bors, R. Stańczy, Existence and continuous dependence on parameters of radially symmetric solutions to astrophysical model of self-gravitating particles, Mathematical Methods in the Applied Science 42 (2019), 7381-7394
- D. Bors, R. Stańczy, Dynamical system modeling fermionic limit,
Discrete and Continuous Dynamical Systems B 23 (2018), 45-55 :: arXiv:1612.05442 - R. Stańczy, On stationary and radially symmetric solutions to some drift-diffusion equations with nonlocal term, Applicable Analysis 95 (2016), 97-104 :: doi arxiv:1101.1533
- J. Dolbeault, R. Stańczy, Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics, Discrete and Continuous Dynamical Systems A 35 (2015), 139-154 :: doi arxiv:1309.1930
- T. Kulczycki, R. Stańczy, Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian
Discrete and Continuous Dynamical Systems B 19 (2014), 2581-2591 :: doi arxiv:1311.0645 - R. Stańczy, Multiple solutions for equations involving bilinear, coercive and compact forms with applications to differential equations Journal of Mathematical Analysis and Applications 405 (2013), 416-421 :: doi arxiv:1104.4848
- R. Stańczy, On an evolution system describing self-gravitating particles in microcanonical setting
Monatshefte fur Mathematik 162 (2011), 197-224 :: doi arxiv:0905.1388 - J. Dolbeault, R. Stańczy, Non-existence and uniqueness results for supercritical semilinear elliptic equations Annales Henri Poincare 10 (2010), 1311-1333 :: doi arxiv:0901.0224
- R. Stańczy, The existence of equilibria of many-particle systems
Proceedings of the Royal Society of Edinburgh A 139 (2009), 623-631 :: doi - R. Stańczy, On radially symmetric solutions of some chemotaxis system
Banach Center Publications 86 (2009), 303-312 - R. Stańczy, Stationary solutions of the generalized Smoluchowski-Poisson equation
Banach Center Publications 81 (2008), 493-500 - P. Biler, R. Stańczy, Nonlinear diffusion models for self-gravitating particles
International Series of Numerical Mathematics 154 (2007), 107-116 - R. Stańczy, Reaction-diffusion equations with nonlocal term
Vienna Equadiff 07 (2007) - P. Biler, R. Stańczy Mean field models for self-gravitating particles
Folia Mathematica 13 (2006), 3-19 - R. Stańczy, On some parabolic-elliptic system with self-similar diffusion coefficient
Banach Center Publications 74 (2006), 205-215 - R. Stańczy, Self-attracting Fermi-Dirac particles in canonical and microcanonical setting
Mathematical Methods in the Applied Sciences 28 (2005), 975-990 - R. Stańczy, Steady states for a system describing self-gravitating Fermi-Dirac particles
Differential and Integral Equations 18 (2005), 567-582 - R. Stańczy, On some elliptic equation with nonlocal nonlinearity
World Scientific Hasselt Equadiff 03 (2005), 310-312 - P. Fijałkowski, B. Przeradzki, R. Stańczy, A nonlocal elliptic equation in a bounded domain
Banach Center Publications 66 (2004), 127-133 - P. Biler, R. Stańczy, Parabolic-elliptic systems with general density-pressure relations
Surikaisekikenkyusho Kokyuroku 1405 (2004), 31-53 数理解析研究所講究録 - P. Biler, T. Nadzieja, R. Stańczy, Nonisothermal systems of self-attracting Fermi-Dirac particles
Banach Center Publications 66 (2004), 61-78 - R. Stańczy, Positive solutions for superlinear elliptic equations
Journal of Mathematical Analysis and Applications 283 (2003), 159-166 - B. Przeradzki, R. Stańczy, Positive solutions of sublinear elliptic equations
Colloquium Mathematicum 92 (2002), 141-151 - B. Przeradzki, R. Stańczy, Solvability of a multi-point boundary value problem at resonance
Journal of Mathematical Analysis and Applications 264 (2001), 253-261 - R. Stańczy, Nonlocal elliptic equations
Nonlinear Analysis Theory Methods and Applications 47 (2001), 3579-3584 - R. Stańczy, The existence of radial, positive solutions for nonlinear elliptic equations in unbounded domains
World Scientific Berlin Equadiff 99 (2000), 526-528 - R. Stańczy, Bounded solutions for nonlinear elliptic equtions in unbounded domain
Journal of Applied Analysis 6 (2000), 129-138 - R. Stańczy, Decaying solutions for sublinear elliptic equations in exterior domain
Topological Methods in Nonlinear Analysis 14 (1999), 363-370 - B. Przeradzki, R. Stańczy, Boundary value problems for retarded functional-differential equations
Functional Differential Equations 5 (1998), 393-401 - R. Stańczy, Hammerstein equations with an integral over a noncompact domain
Annales Polonici Mathematici 69 (1998), 49-60
Konferencje
- Topology in Nonlinear Analysis, Warszawa, Polska, 1994
- School on Nonlinear Functional Analysis and Applications to Differential Equations, Triest, Włochy, 15.04–3.05 1996,
- Singular, Variational and Topological Methods of Nonlinear Analysis, Jurata, Polska, 15–18.09 1997,
- Second School on Nonlinear Functional Analysis and Applications to Differential Equations, Triest, Włochy, 21.04–9.05 1997,
- Differential inclusions and optimal control, Warszawa, Polska, 22.09-3.10 1997,
- Third School on Nonlinear Functional Analysis and Applications to Differential Equations, Triest, Włochy, 12–30.10 1998,
- Instytut Matematyczny Uniwersytetu Wrocławskiego, staż naukowy pod kierunkiem prof. dr hab. P. Bilera w Zakładzie Równań Różniczkowych, Wrocław, Polska, 03–06 1999,
- Equadiff, Berlin, Niemcy, 1–7.08 1999,
‘The existence of radial, positive solutions for nonlinear elliptic equations in unbounded domains’, - International Lusternik Symposium, Będlewo, Polska, 5–9.09 1999,
- II Symposium on Nonlinear Analysis,Toruń, Polska, 13–17.09 1999,
‘Decaying solutions for sublinear elliptic equations in exterior domain’, - Topological and Variational Methods in Nonlinear Analysis, Będlewo, Polska, 19–24.06 2000,
- Forum Równań Różniczkowych Cząstkowych, Będlewo, Polska, 8–10.06 2000,
‘Rozwiązania radialne dla nieliniowych równań eliptycznych’, - World Congress of Nonlinear Analysts, Catania, Włochy, 19–26.07 2000,
‘Nonlocal elliptic equations’, - III Sympozjum Analizy Nieliniowej, Łódź, Polska, 29–31. 01 2001,
- Variational Problems with Singularities, Cambridge, Wielka Brytania, 25–29.06 2001,
- Nonlinear Elliptic Equations and Transition Phenomena, Cambridge, Wielka Brytania, 2–6.07 2001,
‘Bounded solutions of nonlinear elliptic equations in exterior domain’, - School and Workshop on Dynamical Systems, Triest, Włochy, 30.07–17.08 2001,
- Equadiff, Praga, Czechy, 27–31.08 2001,
‘Bounded solutions of nonlinear elliptic equations in unbounded domain’, - Research Trimester on Dynamical Systems, Piza, Włochy, 1.02–30.04 2002,
- Nonlinear Partial Differential Equations - Theory and Approximation, Hong Kong, Chiny, 29.08–2.09 2002,
‘Semilinear elliptic equations in unbounded domain’, - Equadiff, Hasselt, Belgia, 22–26.07 2003,
‘On some elliptic equation with nonlocal nonlinearity', - Nonlocal Elliptic and Parabolic Problems, Będlewo, Polska, 9–14.09 2003,
‘A nonlocal elliptic BVP with Fermi-type nonlinearity’, - IV Sympozjum Analizy Nieliniowej, Łódź, Polska,26-28.012004,
‘Zagadnienia stacjonarne dla cząstek Fermiego-Diraca w ujęciu mikrokanonicznym’, - IV Forum Równań Różniczkowych Cząstkowych, Będlewo, Polska, 7–11.06 2004,
‘Zagadnienia stacjonarne dla cząstek Fermiego-Diraca', - Evolution Equations and Applications, Cortona, Włochy, 4-24.07 2004,
‘O modelu cza‘stek Fermiego-Diraca', - Analytic Semigroups and Reaction-Diffusion Problems, Casalmaggiore, Włochy, 5-11.06 2005,
‘Quenching in reaction-diffusion equations’, - Self-similar Solutions in Nonlinear PDE’s, Będlewo, Polska, 4–9.09 2005,
‘On some parabolic-elliptic system with self-similar diffusion coefficient’, - International Conference of Numerical Analysis and Applied Mathematics, Rodos, Grecja, 16–20.09 2005,
- Nonlinear Parabolic Problems, Helsinki, Finlandia, 17–21.10 2005,
‘Parabolic-elliptic system with general density-pressure relations’, - Non-Equilibrium Dynamics of Interacting Particle Systems, Cambridge, Wielka Brytania, 27.03–7.04 2006,
‘Self-gravitating particles in microcanonical ensemble’, - V Forum Równań Różniczkowych Cząstkowych, Będlewo, Polska, 29.05–2.06 2006,
‘Zagadnienia ewolucyjne opisujące cząstki grawitacyjne’, - 23rd IFIP TC 7 Conference on System Modeling and Optimization, Kraków, Polska, 23–27.07 2007,
- Equadiff 2007, Wieden ́, Austria, 5–11.08 2007,
‘On stationary solutions to reaction-diffusion equations with nonlocal term’, - Loss of compactness in nonlinear PDE: Recent trends, Banff, Kanada, 26–31.08 2007,
- CEREMADE, Universite de Dauphine, Paryż, Francja, 18–24.10 2007,
- Autour de l’ ́equation de Boltzmann, Institut Henri Poincare, Paryż, Francja, 16–19.10 2007,
- EVEQ 2008 International Summer School on Evolution Equations, Praga, Czeczy, 16--20.06.2008,
`On some elliptic equation with nonlocal nonlinearity' - Parabolic and Navier-Stokes Equations in honour of V.A. Solonnikov, Będlewo, Polska, 31.08–06.09 2008,
‘The generalized Smoluchowski-Poisson equation’, ‘Some remarks on many-particle systems’, - CEREMADE, Universite Dauphine, Paryż, Francja, 03-12.12 2008,
- International Conference Nonlinear Parabolic Problems in Honor of Herbert Amann on the Occasion of his 70th Birthday, Be‘dlewo, Polska, 10–16.05 2009,
‘Fermi-Dirac model of self-gravitating particles’, - COLAB Mathematics Summer School and Workshop 2009, Kinetics and statistical methods for complex particle systems, Universidade de Lisboa, Complexo Interdisciplinar, Lizbona, Portugalia, 13–24.07 2009,
- NDS09 6th International Workshop on Multidimensional (nD) Systems Thesalloniki, Saloniki, Grecja, 29.06–1.07 2009,
- Ceremade, Universite de Dauphine, Paryż, Francja, 13–20.12 2009,
- Journee 40 ans du LJLL (le Laboratoire Jacques-Louis Lions), Paryż, Francja, 17–18.12 2009,
- Journee d’Analyse Non Lineaire, l’Universite Paris-Sud, Orsay, Paryż, Francja, 15.12 2009,
- Nonlinear Diffusions and Entropy Dissipation: From Geometry to Biology, BIRS, Banff, Kanada, 9– 14.05 2010,
‘Entropy methods for self-gravitating particles systems’, - VII Forum Równań Różniczkowych Cząstkowych, Będlewo, Polska, 13–18.06 2010,
‘Diagramy bifurkacyjne dla modelu cząstek Fermiego-Diraca’, - 19th International Symposium on Mathematical Theory of Networks and Systems, Budapeszt, Węgry, 5-9.07 2010,
- Partial Differential Equation in Mathematical Biology, Będlewo, Polska, 12-18.09 2010,
‘Some remarks on a system modelling chemotaxis’, - Otwarte seminarium z równań różniczkowych cząstkowych, Warszawa, Polska, 9.06.2011,
`Nieliniowy model dyfuzji cząstek oddziałujących grawitacyjnie' - Jornades d’interaccio entre sistemes dinamics i equacions en derivades parcials, JISD2011, Universitat Politecnica de Catalunya (UPC), Barcelona, Hiszpania, 27.06–1.07 2011,
‘Model of self-gravitating particles' - Geometric properties of solutions of nonlinear PDEs and their applications, Banff, Kanada, 18–22.07 2011,
‘Uniqueness and multipilicity results for some local and nonlocal ellpitic equations under geometrical assumptions on the domain and the set of solutions' - Sympozjum Nieliniowej Analizy, UMK, Toruń, 7–9.09 2011,
‘Model cząstek grawitacyjnych i zagadnienia kwadratowe', - VIII Forum Równań Różniczkowych Cząstkowych, Będlewo, Polska, 17-22.06.2012,
`Przejścia graniczne w modelu dyfuzji cząstek grawitujących', - European Congress of Mathematics, Kraków, Polska, 07.2012
- CEREMADE, Universite de Dauphine, Paryż, Francja, 12 2012
- Conference on Dynamical Systems and Applications in honor of Prof. Avner Friedman, University of Technology, Łódź, Polska, 07.05.2013, ‘Model of self-gravitating particles', `Multiple Solutions for Dirichlet Superlinear BVPs Involving Fractional Laplacian'
- The 13th School Mathematical Theory in Fluid Mechanics, Kácov, Czechy, 24 - 31.05 2013,
`Nonlocal differential equations' - Chilean-French-Polish Conference on Nonlinear PDE's, Będlewo, Polska, 30.06-05.07.2013,
`Multiplicity results for some nonlocal BVPs' - CEREMADE, Universite de Dauphine, Paryż, Francja, 12 2013
- Partial Differential Equations and Geometric Measure Theory, Cetraro, Włochy, 02-07.06.2014
- Entropy Methods, PDEs, Functional Inequalities, and Applications, BIRS, Banff, Kanada, 29.06-04.07.2014
`Entropy methods for systems of gravitating particles' - IX Forum Równań różniczkowych cząstkowych, Będlewo, Polska, 01-05.09.2014
- Asymptotyka Ukladow Dynamicznych, Lodz, Polska, 02.12.2014
`Global Invertibility and Implicit Function Theorems by Mountain Pass Theorem'
- Spring of Differential Equations, Gdansk, Polska, 18-21.03.2015, `Nonlocal BVPs'
- 3rd Conference on Dynamical Systems and Applications, Lodz, Polska, 16.04.2015, 'Model of self-gravitating particles'
- CNRS-PAN Mathematics Summer, Krakow, Polska, 28.06-04.07.2015, `Entropy Methods for Systems of Gravitating Particles'
- EQUADIFF 2015 Lyon, Francja, 6-10.07.2015, `Global Invertibility and Implicit Function Theorems by Mountain Pass Theorem'
- VII Symposium on Nonlinear Analysis, Torun, Polska, 14-18.09.2015, `Two Classes of Nonlocal Boundary Value Problems: with Fractional Laplacian; motivated by Particle Systems.'
- X Forum of partial differential equations, Bedlewo, Polska, 19-24.06.2016, `Evolution for Fermi-Dirac statistics in gravitation'
- Dynamical Systems and Applications IV, Lodz, Polska, 16-18.06.2016, `Global Invertibility, Mountain Pass and Detours'
- Analysis and Applications, Wroclaw, Polska, 4-8.09.2017
- Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society,Wrocław, Polska, 17-20.09.2018, `Nonlocal Boundary Value Problems. Existence, Uniqueness, Continuous Dependence. Fractional Laplacian; Self-Gravitating Diffusion.'
- Warsaw chemotaxis days, 15-19.10.2018, `Singular limits for models of self-gravitating diffusive particles'
- XI Forum of Partial Differential Equations Bedlewo, Polska, 23-29.06.2019
- Mini-sympozjum: Nieliniowa analiza i rownania rozniczkowe, Lodz, Polska, 5-6.12.2019
- Selected Topics of Simons Semesters in Banach Center 16.12.2019 - 20.12.2019 | Warszawa
- Baby Steps Beyond the Horizon, 7-11.08.2023
- International Congress of Mathematicians 2022 (ICM 2022) took place between 6-14 July 2022, Helsinki, online
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The 9th Conference of the Polish Society on Relativity, Institute of Theoretical Physics, UJ, Kraków, 18-22 September 2023, Black hole vs dark matter model
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Workshop on Differential Equations and Their Applications 02.07.2023 - 08.07.2023 | Będlewo, Dark matter vs black hole model
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International Meetings on Differential Equations and Their Applications, Existence and Multiplicity Results for Dirichlet Problem with Fractional Laplacian and Nonlinearityon-line, March 3 – June 23, 2021, Łódź, Poland, 2021-03-03 - 2021-06-23
https://im.p.lodz.pl/IMDETA/Meetings.pdf -
Polish Mathematical Society Mini-Conference
02.06.2022 - 03.06.2022 | Warsaw
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FAMA June 2024 to Professor Marino, Amantea
Self-gravitating Particles in (non)Relativistic Framework -
VIII Symposium on Nonlinear Analysis 17-21 June 2024, Toruń
Tolman-Oppenheimer-Volkoff Equation
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XIII Forum of Partial Differential Equations, Będlewo 2024,
Static symmetric solutions to Einstein–Euler equations -
Dynamical Systems and Applications VI, DSA 2024, June 26-28, Łódź
Dynamical System for Tolman-Oppenheimer-Volkoff Equation
Badania
to-test-einsteins-equations-poke-a-black-hole
black-holes-finally-proven-mathematically-stable
Sferycznie symetryczne rozwiązania równań Einsteina z uwzględnieniem równania stanu opisującego Drogę Mleczną https://www.math.uni.wroc.pl/seminarium/rownania-rozniczkowe
Model ciemnej materii https://imul.math.uni.lodz.pl/tematyka-biezacych-seminariow/
Dark Matter Models https://www.impan.pl/en/activities/banach-center/conferences/21-xiiforumpde/abstracts