adiunkt
Wydział Matematyki Stosowanej WMS-krr, Katedra Równań Różniczkowych
ORCID: 0000-0002-3033-7419 połącz konto z ORCID
ResearcherID: U-8877-2017
Scopus: 6603328340
A geometrical approach to quantum holonomic computing algorithms / A. M. Samoilenko, Y. A. PRYKARPATSKY, Ufuk Taneri, A. K. PRYKARPATSKY, D. L. Blackmore // Mathematics and Computers in Simulation ; ISSN 0378-4754. — 2004 vol. 66 iss. 1, s. 1–20. — Bibliogr. s. 19–20, Abstr.. — Publikacja dostępna online od: 2004-04-27. — Y. A. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; Brookhaven National Laboratory, Upton, USA; National Academy of Sciences, Lviv, Ukraine. — A. K. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; National Academy of Sciences, Lviv, Ukraine. — tekst: https://www-1sciencedirect-1com-1000027fh02ef.wbg2.bg.agh.edu.pl/science/article/pii/S0378475404000357/pdfft?md5=f3cfe51e769ab4857ce0f28f286a1317&pid=1-s2.0-S0378475404000357-main.pdf
keywords: quantum algorithms, symplectic structures, dynamical systems, connections, Lax type integrable flows, holonomy groups, Grassmann manifolds, quantum computers
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky
cyfrowy identyfikator dokumentu: 10.1016/j.matcom.2004.01.017
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatoliy K. PRYKARPATSKY // Applied Mathematics E-Notes [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1607-2510. — 2005 vol. 5, s. 210–246. — Bibliogr. s. 244–246, Abstr.. — tekst: https://www.emis.de/journals/AMEN/2005/040619-2.pdf
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu:
Comparison of heterogeneous and homogenized numerical models of cavitation / Roman Samulyak, Jarema PRYKARPATSKY, Tianshi Lu, James Glimm, Zhiliang Xu, Myoung-Nyoun Kim // International Journal for Multiscale Computational Engineering ; ISSN 1543-1649. — 2006 vol. 4 iss. 3, s. 377–390. — Bibliogr., Abstr.
cyfrowy identyfikator dokumentu: 10.1615/IntJMultCompEng.v4.i3.70
Direct and homogeneous numerical approaches to multiphase flows and applications / Roman Samulyak, Tianshi Lu, Jarema PRYKARPATSKY // W: Computational Science – ICCS 2004 : 4th International Conference : Kraków, Poland, June 6–9, 2004 : proceedings, Pt. 4 / eds. Marian Bubak, Geert Dick van Albada [et al.]. — Berlin [etc.] : Springer-Verlag, 2004. — (Lecture Notes in Computer Science ; ISSN 0302-9743 ; LNCS 3039). — ISBN: 978-3-540-22129-6 ; e-ISBN: 978-3-540-25944-2. — S. 653–660. — Bibliogr. s. 660, Abstr.. — Toż na CD-ROMie. — tekst: https://link-1springer-1com-10000489c00a5.wbg2.bg.agh.edu.pl/content/pdf/10.1007%2F978-3-540-25944-2_84.pdf
Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems / Y. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2002 vol. 50 no. 3, s. 349–360. — Bibliogr. s. 360. — Conference on Multi-hamiltonian structures - geometric and algebraic aspects : Bedlewo, Poland, August 09-17, 2001. — tekst: https://www-1sciencedirect-1com-10000272m0104.wbg2.bg.agh.edu.pl/science/article/pii/S0034487702800659/pdf?md5=8de20900c4930ad4fa9666a2bc2239e7&pid=1-s2.0-S0034487702800659-main.pdf
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(02)80065-9
Generalized de Rham-Hodge theory of multidimensional Delsarte transmutations of differential operators and its applications for nonlinear dynamic systems / N. N. Bogolyubov, Jr., J. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Physics of Particles and Nuclei ; ISSN 1063-7796. — 2005 vol. 36 suppl. 1, s. S111–S122. — Bibliogr. s. S121–S122, Abstr.. — Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics : Kiev : SEP 13-17, 2004
Mel'nikov-Samoilenko adiabatic stability problem / J. A. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2006 vol. 58 no. 6, s. 887–903. — Bibliogr. s. 902–903. — J. A. Prykarpatski - pierwsza afiliacja: Ukrainian Academy of Sciences, Kyiv, Ukraine. — tekst: https://goo.gl/i7oimT
cyfrowy identyfikator dokumentu: 10.1007/s11253-006-0111-8
New approach to studying the vortex structure of Josephson media equations within the framework of the Chern-Simons-Higgs Lagrangian model / Y. PRYKARPATSKY // Physica. C, Superconductivity and Its Applications ; ISSN 0921-4534. — 2002 vol. 369 iss. 1–4, s. 325–330. — Bibliogr. s. 330, Abstr.. — Y. Prykarpatsky - pierwsza afiliacja: Institute of Mathematics, NAS of Ukraine. — VORTEX ESF [European Science Foundation] : proceedings of the second European conference on Vortex matter in superconductors at extreme scales and conditions : Crete, Greece, September 15–25, 2001 / eds. V. V. Moshchalkov, E. H. Brandt. — North-Holland : Elsevier, 2002. — tekst: https://www-1sciencedirect-1com-1000027ut00b9.wbg2.bg.agh.edu.pl/science/article/pii/S0921453401012692/pdfft?md5=7a68eebd7d8b6ae08e3ed75ec1a0f4e4&pid=1-s2.0-S0921453401012692-main.pdf
keywords: Josephson junction, Lagrangian model, Higgs approach, vortex, Chern–Simons model
cyfrowy identyfikator dokumentu: 10.1016/S0921-4534(01)01269-2
On a Dirac type quantization algorithm for the Neumann-Bogoliubov oscillatory dynamical system / Ya. A. PRYKARPATS'KY, M. PYTEL-KUDELA, V. Hr. Samoylenko // Nelìnìjnì Kolivannâ = Nonlinear Oscillations ; ISSN 1562-3076. — 2001 vol. 4 no. 1, s. 106–111. — Bibliogr. s. 110–111
Zobacz pełny wykaz publikacji Autora/Autorów: Marzenna Pytel-Kudela
On the geometrical properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications / Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Dynamics of Continuous, Discrete and Impulsive Systems. Series A, Mathematical ; ISSN 1201-3390. — 2006 vol. 13A S2, s. 145–158. — Differential equations and dynamical systems : proceedings of the international workshop : Guelph, Canada, July 29–31, 2006 / eds. X. Liu, S. X. Yang. — Waterloo : Watam Press, 2006
keywords: symplectic structures, Hamiltonian reduction, connections, principal fiber bundles, Yang-Mills type gauge fields
Richtmyer-Meshkov instability in liquid metal flows: influence of cavitation and magnetic fields / Roman Samulyak, Yarema PRYKARPATSKY // Mathematics and Computers in Simulation ; ISSN 0378-4754. — 2004 vol. 65 iss. 4–5, s. 431–446. — Bibliogr. s. 446, Abstr.. — Workshop on Wave Phenomena in Physics and Engineering : Montreal, Canada, 1 May 2003. — tekst: https://www-1sciencedirect-1com-1000027op0055.wbg2.bg.agh.edu.pl/science/article/pii/S0378475404000278/pdfft?md5=be84137e793110c822fccca33e51d009&pid=1-s2.0-S0378475404000278-main.pdf
keywords: cavitation, MHD, Richtmyer-Meshkov instability
cyfrowy identyfikator dokumentu: 10.1016/j.matcom.2004.01.019
The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications / Jarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2005 vol. 55 no. 3, s. 351–370. — Bibliogr. s. 368–370. — Publikacja dostępna online od: 2005-11-16. — Y. A. Prykarpatsky - pierwsza afiliacja: Institute of Mathematics at the NAS, Kiev, Ukraine. — 36th Symposium on Mathematical Physics, Toruń, June 9-12, 2004. — tekst: https://www-1sciencedirect-1com-10000271y0585.wbg2.bg.agh.edu.pl/science/article/pii/S0034487705800515/pdf?md5=b9c93dd8e52a7dd91636ca640ad969ef&pid=1-s2.0-S0034487705800515-main.pdf
keywords: Dirac operator, soliton-like solutions, Laplace operator, operator pencils, Delsarte transmutation operators, Darboux transformations, de Rham-Hodge-Skrypnik differential complex
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(05)80051-5
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory, Pt. 2 / J. GOLENIA, Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2004 R. 24 [no.] 1, s. 71–83. — Bibliogr. s. 82–83, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/om-vol24iss1art6
keywords: Delsarte transmutation operators, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Zakharov-Shabat equations, polynomial operator pencils
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky, Jolanta Golenia
The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2005 vol. 25 no. 2, s. 287–298. — Bibliogr. s. 296–297, Abstr.. — Y. A. Prykarpatsky - pierwsza afiliacja: The Institute of Mathematics, NAS, Kyiv, Ukraine. — tekst: http://journals-1bg-1agh-1edu-1pl-1ftlf1r1y06c9.wbg2.bg.agh.edu.pl/OPUSCULA/25-2/25-2-11.pdf
keywords: symplectic structures, Hamiltonian reduction, connections, principal fiber bundles, Yang–Mills type gauge fields
The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications, Pt. 1 / Anatoliy K. PRYKARPATSKY, Anatoliy M. Samoilenko, Yarema A. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2003 R. 23, s. 71–80. — Bibliogr. s. 79–80, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/vol23/1/23-1-07.pdf
keywords: Delsarte transmutation operators, Darboux transformations, inverse spectral transform problem
The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems / A. M. Samoilenko, J. A. PRYKARPATSKY, A. K. PRYKARPATSKY // Nonlinear Analysis : Theory, Methods & Applications ; ISSN 0362-546X. — 2006 vol. 65 iss. 2, s. 395–432. — Bibliogr. s. 431–432, Abstr.. — tekst: https://goo.gl/6Hyr6K
keywords: Delsarte transmutation operators, Darboux transformations, cohomology properties, De Rham-Hodge-Skrypnik complexes, differential geometric structure, differential topological structure
cyfrowy identyfikator dokumentu: 10.1016/j.na.2005.07.039
The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils, Pt. 2 / Jolanta GOLENIA, Anatolij K. PRYKARPATSKY, Jarema A. PRYKARPATSKY // Journal of Nonlinear Mathematical Physics ; ISSN 1402-9251. — 2005 vol. 12 no. 3, s. 381–408. — Bibliogr. s. 405–408, Abstr.. — Publikacja dostępna online od: 2013-01-21. — J. A. Prykarpatsky - dod. afiliacja: Institute of Mathematics at the NAS, Kiev, Ukraine ; Brookhaven Nat. Lab., NY, USA. — 36th symposium on Mathematical physics : Torun, Poland, June 09-12, 2004. — tekst: https://www-1tandfonline-1com-15qtywssi0212.wbg2.bg.agh.edu.pl/doi/pdf/10.2991/jnmp.2005.12.3.5?needAccess=true
cyfrowy identyfikator dokumentu: 10.2991/jnmp.2005.12.3.5
The structure of Gelfand-Levitan-Marhenko type equations for Delsarte transmutation operators of linear multidimensional differential operators and operator pencils, Pt. 1 / Jolanta GOLENIA, Anatolij K. PRYKARPATSKY, Yarema A. PRYKARPATSKY // Journal of Nonlinear Mathematical Physics ; ISSN 1402-9251. — 2005 vol. 12 no. 1, s. 73–87. — Bibliogr. s. 85–87, Abstr.. — Publikacja dostępna online od: 2013-01-21. — Yarema A. Prykarpatsky - dod. afiliacja: Intitute of Mathematics at the NAS, Kiev, Ukraine ; Brookhaven Nat. Lab., NY, SA. — tekst: https://www-1tandfonline-1com-15qtywssi0203.wbg2.bg.agh.edu.pl/doi/pdf/10.2991/jnmp.2005.12.1.7?needAccess=true
cyfrowy identyfikator dokumentu: 10.2991/jnmp.2005.12.1.7
The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications, Pt. 2 / Jarema A. Prykarpatsky, Anatoliy M. Samoilenko // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2007 vol. 27 no. 1, s. 113–130. — Bibliogr. s. 127–130, Abstr.. — tekst: https://goo.gl/Lfn4mP
keywords: Delsarte transmutation operators, generalized de Rham-Hodge differential complex, Delsarte-Lions type transformations, Gelfand-Levitan-Marchenko type integral equations, mulktidimensional differential operator pencils