Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Stepien, Lukasz"'
We randomize the implicit two-stage Runge-Kutta scheme to improve the rate of convergence (compared to a deterministic scheme) and stability of the approximate solution (contrasted to the solution generated by the explicit scheme). For stability anal
Externí odkaz:
http://arxiv.org/abs/2404.19059
Autor:
Stepien, Lukasz, Pomorski, Krzysztof
Bogomolny approach in the context of strong necessary conditions is formulated for the case of various superconducting and semiconductor structures. Certain results were obtained for a constant magnetic field, which experimentally corresponds to spir
Externí odkaz:
http://arxiv.org/abs/2308.09172
Autor:
Stępień, Łukasz
In this paper we deal with global approximation of solutions of stochastic differential equations (SDEs) driven by countably dimensional Wiener process. Under certain regularity conditions imposed on the coefficients, we show lower bounds for exact a
Externí odkaz:
http://arxiv.org/abs/2303.13171
Publikováno v:
BIT Numerical Mathematics (2023) 63:32
The theme of the present paper is numerical integration of $C^r$ functions using randomized methods. We consider variance reduction methods that consist in two steps. First the initial interval is partitioned into subintervals and the integrand is ap
Externí odkaz:
http://arxiv.org/abs/2206.03125
Autor:
Ajijah, Nur, Fiodor, Angelika, Kazimierczuk, Krzysztof, Urbaniak, Monika, Enow, Elsie, Stasiuk, Robert, Stepien, Lukasz, Dziewit, Lukasz, Pranaw, Kumar
Publikováno v:
In Biological Control November 2024 198
In this paper we deal with pointwise approximation of solutions of stochastic differential equations (SDEs) driven by infinite dimensional Wiener process with additional jumps generated by Poisson random measure. The further investigations contain up
Externí odkaz:
http://arxiv.org/abs/2108.02394
Autor:
Jasiewicz, Jarosław, Piekarczyk, Jan, Stępień, Łukasz, Tkaczuk, Cezary, Sosnowska, Danuta, Urbaniak, Monika, Ratajkiewicz, Henryk
Publikováno v:
In Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 15 May 2024 313
Akademický článek
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Akademický článek
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Autor:
Stȩpień, Łukasz T.
Some exact solutions of boundary or initial conditions formulated for Bogomolny equations (derived by using the strong necessary conditions and associated with some ordinary equation and some partial differential equations), have been found. Besides,
Externí odkaz:
http://arxiv.org/abs/1912.02609