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ORCIDPawel Przybylowicz
Person information
- unicode name: Paweł Przybyłowicz
- affiliation: AGH University of Science and Technology, Faculty of Applied Mathematics, Krakow, Poland
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2020 – today
- 2024
[j25]Andrzej Kaluza
, Pawel M. Morkisz, Bartlomiej Mulewicz, Pawel Przybylowicz, Martyna Wiacek:
Deep learning-based estimation of time-dependent parameters in Markov models with application to nonlinear regression and SDEs. Appl. Math. Comput. 480: 128906 (2024)- [j24]Fabio V. Difonzo, Pawel Przybylowicz, Yue Wu:
Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations. J. Comput. Appl. Math. 436: 115411 (2024) - [j23]Pawel Przybylowicz, Verena Schwarz, Michaela Szölgyenyi:
Randomized Milstein algorithm for approximation of solutions of jump-diffusion SDEs. J. Comput. Appl. Math. 440: 115631 (2024) - [i20]Fabio V. Difonzo, Pawel Przybylowicz, Yue Wu, Xinheng Xie:
A Randomized Runge-Kutta Method for time-irregular delay differential equations. CoRR abs/2401.11658 (2024) - [i19]Tomasz Bochacik, Pawel Przybylowicz:
Convergence and stability of randomized implicit two-stage Runge-Kutta schemes. CoRR abs/2404.19059 (2024) - [i18]Pawel Przybylowicz, Michal Sobieraj:
On the randomized Euler scheme for SDEs with integral-form drift. CoRR abs/2405.20481 (2024) - 2023
- [i17]Pawel Przybylowicz, Verena Schwarz, Michaela Szölgyenyi:
Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift. CoRR abs/2303.05945 (2023) - [i16]Pawel Przybylowicz, Yue Wu, Xinheng Xie:
On approximation of solutions of stochastic delay differential equations via randomized Euler scheme. CoRR abs/2306.08926 (2023) - [i15]Marcin Baranek, Andrzej Kaluza, Pawel M. Morkisz, Pawel Przybylowicz, Michal Sobieraj:
On the randomized Euler algorithm under inexact information. CoRR abs/2307.04718 (2023) - [i14]Andrzej Kaluza, Pawel M. Morkisz, Bartlomiej Mulewicz, Pawel Przybylowicz, Martyna Wiacek:
Deep learning-based estimation of time-dependent parameters in Markov models with application to nonlinear regression and SDEs. CoRR abs/2312.08493 (2023) - 2022
- [j22]Natalia Czyzewska, Jan Kusiak, Pawel M. Morkisz, Piotr Oprocha, Maciej Pietrzyk, Pawel Przybylowicz, Lukasz Rauch, Danuta Szeliga:
On Mathematical Aspects of Evolution of Dislocation Density in Metallic Materials. IEEE Access 10: 86793-86812 (2022) - [j21]Tomasz Bochacik, Pawel Przybylowicz:
On the randomized Euler schemes for ODEs under inexact information. Numer. Algorithms 91(3): 1205-1229 (2022) - [j20]Natalia Czyzewska, Pawel M. Morkisz, Pawel Przybylowicz:
Approximation of solutions of DDEs under nonstandard assumptions via Euler scheme. Numer. Algorithms 91(4): 1829-1854 (2022) - [j19]Pawel Przybylowicz, Michal Sobieraj, Lukasz T. Stepien:
Efficient Approximation of SDEs Driven by Countably Dimensional Wiener Process and Poisson Random Measure. SIAM J. Numer. Anal. 60(2): 824-855 (2022) - [i13]Fabio V. Difonzo, Pawel Przybylowicz:
Existence, uniqueness and approximation of solutions to Carathéodory delay differential equations. CoRR abs/2204.02016 (2022) - [i12]Leszek Plaskota, Pawel Przybylowicz, Lukasz T. Stepien:
Monte Carlo integration with adaptive variance reduction: an asymptotic analysis. CoRR abs/2206.03125 (2022) - [i11]Pawel Przybylowicz:
Foundations of Monte Carlo methods and stochastic simulations - From Monte Carlo Lebesgue integration to weak approximation of SDEs. CoRR abs/2208.05531 (2022) - [i10]Natalia Czyzewska, Pawel M. Morkisz, Pawel Przybylowicz:
Euler scheme for approximation of solution of nonlinear ODEs under inexact information. CoRR abs/2209.07482 (2022) - [i9]Pawel Przybylowicz, Verena Schwarz, Michaela Szölgyenyi:
A higher order approximation method for jump-diffusion SDEs with discontinuous drift coefficient. CoRR abs/2211.08739 (2022) - [i8]Pawel Przybylowicz, Verena Schwarz, Michaela Szölgyenyi:
Randomized Milstein algorithm for approximation of solutions of jump-diffusion SDEs. CoRR abs/2212.00411 (2022) - 2021
- [j18]Pawel Przybylowicz, Michaela Szölgyenyi:
Existence, uniqueness, and approximation of solutions of jump-diffusion SDEs with discontinuous drift. Appl. Math. Comput. 403: 126191 (2021) - [j17]Tomasz Bochacik, Maciej Gocwin, Pawel M. Morkisz, Pawel Przybylowicz:
Randomized Runge-Kutta method - Stability and convergence under inexact information. J. Complex. 65: 101554 (2021) - [j16]Pawel M. Morkisz, Pawel Przybylowicz:
Randomized derivative-free Milstein algorithm for efficient approximation of solutions of SDEs under noisy information. J. Comput. Appl. Math. 383: 113112 (2021) - [i7]Tomasz Bochacik, Pawel Przybylowicz:
On the randomized Euler schemes for ODEs under inexact information. CoRR abs/2104.15071 (2021) - [i6]Natalia Czyzewska, Pawel M. Morkisz, Pawel Przybylowicz:
Approximation of solutions of DDEs under nonstandard assumptions via Euler scheme. CoRR abs/2106.03731 (2021) - [i5]Pawel Przybylowicz, Michal Sobieraj, Lukasz T. Stepien:
Efficient approximation of SDEs driven by countably dimensional Wiener process and Poisson random measure. CoRR abs/2108.02394 (2021) - 2020
- [i4]Tomasz Bochacik, Maciej Gocwin, Pawel M. Morkisz, Pawel Przybylowicz:
Randomized Runge-Kutta method - stability and convergence under inexact information. CoRR abs/2006.12131 (2020) - [i3]Natalia Czyzewska, Jan Kusiak, Pawel M. Morkisz, Piotr Oprocha, Maciej Pietrzyk, Pawel Przybylowicz, Lukasz Rauch, Danuta Szeliga:
On mathematical aspects of evolution of dislocation density in metallic materials. CoRR abs/2011.08504 (2020)
2010 – 2019
- 2019
- [j15]Andrzej Kaluza, Pawel M. Morkisz, Pawel Przybylowicz:
Optimal approximation of stochastic integrals in analytic noise model. Appl. Math. Comput. 356: 74-91 (2019) - [j14]Pawel Przybylowicz:
Efficient approximate solution of jump-diffusion SDEs via path-dependent adaptive step-size control. J. Comput. Appl. Math. 350: 396-411 (2019) - [i2]Pawel Przybylowicz, Michaela Szölgyenyi:
Existence, uniqueness, and approximation of solutions of jump-diffusion SDEs with discontinuous drift. CoRR abs/1912.04215 (2019) - [i1]Pawel M. Morkisz, Pawel Przybylowicz:
Randomized derivative-free Milstein algorithm for efficient approximation of solutions of SDEs under noisy information. CoRR abs/1912.06865 (2019) - 2017
- [j13]Pawel M. Morkisz, Pawel Przybylowicz:
Optimal pointwise approximation of SDE's from inexact information. J. Comput. Appl. Math. 324: 85-100 (2017) - 2016
- [j12]Boleslaw Z. Kacewicz, Pawel Przybylowicz:
On the optimal robust solution of IVPs with noisy information. Numer. Algorithms 71(3): 505-518 (2016) - [j11]Pawel Przybylowicz:
Optimal global approximation of stochastic differential equations with additive Poisson noise. Numer. Algorithms 73(2): 323-348 (2016) - 2015
- [j10]Pawel Przybylowicz:
Optimal global approximation of SDEs with time-irregular coefficients in asymptotic setting. Appl. Math. Comput. 270: 441-457 (2015) - [j9]Boleslaw Z. Kacewicz, Pawel Przybylowicz:
Complexity of the derivative-free solution of systems of IVPs with unknown singularity hypersurface. J. Complex. 31(1): 75-97 (2015) - [j8]Pawel Przybylowicz:
Minimal asymptotic error for one-point approximation of SDEs with time-irregular coefficients. J. Comput. Appl. Math. 282: 98-110 (2015) - 2014
- [j7]Boleslaw Z. Kacewicz, Pawel Przybylowicz:
Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface. Appl. Math. Comput. 228: 116-127 (2014) - [j6]Pawel Przybylowicz:
Optimality of Euler-type algorithms for approximation of stochastic differential equations with discontinuous coefficients. Int. J. Comput. Math. 91(7): 1461-1479 (2014) - [j5]Boleslaw Z. Kacewicz, Pawel Przybylowicz:
Optimal solution of a class of non-autonomous initial-value problems with unknown singularities. J. Comput. Appl. Math. 261: 364-377 (2014) - 2013
- [j4]Pawel Przybylowicz:
Optimal sampling design for approximation of stochastic Itô integrals with application to the nonlinear Lebesgue integration. J. Comput. Appl. Math. 245: 10-29 (2013) - 2010
- [j3]Pawel Przybylowicz:
Adaptive Itô-Taylor algorithm can optimally approximate the Itô integrals of singular functions. J. Comput. Appl. Math. 235(1): 203-217 (2010)
2000 – 2009
- 2009
- [j2]Pawel Przybylowicz:
Linear information for approximation of the Itô integrals. Numer. Algorithms 52(4): 677-699 (2009) - 2008
- [j1]Boleslaw Z. Kacewicz, Pawel Przybylowicz:
Optimal adaptive solution of initial-value problems with unknown singularities. J. Complex. 24(4): 455-476 (2008)
Coauthor Index
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