Matusik, Radosław; Nowakowski, Andrzej Analysis of pandemic with game methodology and numerical approximation. (English) Zbl 07820586 Arch. Control Sci. 33, No. 3, 651-680 (2023). MSC: 92D30 92C60 91A80 90C39 PDFBibTeX XMLCite \textit{R. Matusik} and \textit{A. Nowakowski}, Arch. Control Sci. 33, No. 3, 651--680 (2023; Zbl 07820586) Full Text: DOI
Michelitsch, Thomas M.; Riascos, Alejandro P.; Collet, Bernard A.; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. Generalized space-time fractional dynamics in networks and lattices. (English) Zbl 1484.82045 Altenbach, Holm (ed.) et al., Nonlinear wave dynamics of materials and structures. Cham: Springer. Adv. Struct. Mater. 122, 221-249 (2020). MSC: 82C41 37K60 60K50 60G55 82C20 26A33 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Adv. Struct. Mater. 122, 221--249 (2020; Zbl 1484.82045) Full Text: DOI arXiv
Riascos, A. P.; Michelitsch, T. M.; Collet, B. A.; Nowakowski, A. F.; Nicolleau, F. C. G. A. Random walks with long-range steps generated by functions of Laplacian matrices. (English) Zbl 1459.82109 J. Stat. Mech. Theory Exp. 2018, No. 4, Article ID 043404, 33 p. (2018). MSC: 82B41 PDFBibTeX XMLCite \textit{A. P. Riascos} et al., J. Stat. Mech. Theory Exp. 2018, No. 4, Article ID 043404, 33 p. (2018; Zbl 1459.82109) Full Text: DOI arXiv
Nowakowski, Andrzej Mathematical models and computations in biosciences and mechanics. (English) Zbl 1383.49049 Folia Math. 19, No. 1, 30-49 (2017). MSC: 49N90 35J61 74P20 92B05 01A73 PDFBibTeX XMLCite \textit{A. Nowakowski}, Folia Math. 19, No. 1, 30--49 (2017; Zbl 1383.49049) Full Text: Link
Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices. (English) Zbl 1394.82009 J. Phys. A, Math. Theor. 50, No. 50, Article ID 505004, 29 p. (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B41 60G51 82B20 60G50 05C82 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., J. Phys. A, Math. Theor. 50, No. 50, Article ID 505004, 29 p. (2017; Zbl 1394.82009) Full Text: DOI arXiv
Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. Fractional random walk lattice dynamics. (English) Zbl 1357.82059 J. Phys. A, Math. Theor. 50, No. 5, Article ID 055003, 22 p. (2017). MSC: 82C41 82C20 82C70 82D25 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., J. Phys. A, Math. Theor. 50, No. 5, Article ID 055003, 22 p. (2017; Zbl 1357.82059) Full Text: DOI arXiv Link
Michelitsch, T. M.; Collet, B. A.; Riascos, A. P.; Nowakowski, A. F.; Nicolleau, F. C. G. A. A fractional generalization of the classical lattice dynamics approach. (English) Zbl 1372.39021 Chaos Solitons Fractals 92, 43-50 (2016). MSC: 39A70 26A33 82C20 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Chaos Solitons Fractals 92, 43--50 (2016; Zbl 1372.39021) Full Text: DOI arXiv Link
Michelitsch, T. M.; Collet, B.; Nowakowski, A. F.; Nicolleau, F. C. G. A. Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain. (English) Zbl 1355.35051 Chaos Solitons Fractals 82, 38-47 (2016). MSC: 35J05 35R11 39A12 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Chaos Solitons Fractals 82, 38--47 (2016; Zbl 1355.35051) Full Text: DOI arXiv Link
Michelitsch, Thomas; Collet, Bernard; Riascos, Alejandro; Nowakowski, Andrzej F; Nicolleau, Franck C G A Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels. arXiv:1604.01725 Preprint, arXiv:1604.01725 [math-ph] (2016). BibTeX Cite \textit{T. Michelitsch} et al., ``Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels'', Preprint, arXiv:1604.01725 [math-ph] (2016) Full Text: arXiv OA License
Michelitsch, Thomas M.; Collet, Bernard; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit. (English) Zbl 1330.82013 J. Phys. A, Math. Theor. 48, No. 29, Article ID 295202, 27 p. (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B41 26A33 81T27 06B15 35R11 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., J. Phys. A, Math. Theor. 48, No. 29, Article ID 295202, 27 p. (2015; Zbl 1330.82013) Full Text: DOI arXiv
Michelitsch, Thomas; Maugin, Gérard; Nowakowski, Andrzej; Nicolleau, Franck; Rahman, Mujibur The fractional Laplacian as a limiting case of a self-similar spring model and applications to \(n\)-dimensional anomalous diffusion. (English) Zbl 1314.35209 Fract. Calc. Appl. Anal. 16, No. 4, 827-859 (2013). MSC: 35R11 28A80 35Q84 60E07 82C31 60G18 60J60 PDFBibTeX XMLCite \textit{T. Michelitsch} et al., Fract. Calc. Appl. Anal. 16, No. 4, 827--859 (2013; Zbl 1314.35209) Full Text: DOI
Michelitsch, Thomas M.; Maugin, Gérard A.; Rahman, Mujibur; Derogar, Shahram; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. An approach to generalized one-dimensional self-similar elasticity. (English) Zbl 1423.74102 Int. J. Eng. Sci. 61, 103-111 (2012). MSC: 74B05 35R11 37J15 35Q74 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Int. J. Eng. Sci. 61, 103--111 (2012; Zbl 1423.74102) Full Text: DOI
Michelitsch, Thomas M.; Maugin, Gérard A.; Rahman, Mujibur; Derogar, Shahram; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. A continuum theory for one-dimensional self-similar elasticity and applications to wave propagation and diffusion. (English) Zbl 1257.35177 Eur. J. Appl. Math. 23, No. 6, 709-735 (2012). MSC: 35Q74 35J08 74B10 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Eur. J. Appl. Math. 23, No. 6, 709--735 (2012; Zbl 1257.35177) Full Text: DOI
Michelitsch, Thomas; Maugin, Gérard; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A.; Rahman, Mujibur An approach to anomalous diffusion in the n-dimensional space generated by a self-similar Laplacian. arXiv:1207.7132 Preprint, arXiv:1207.7132 [physics.class-ph] (2012). BibTeX Cite \textit{T. Michelitsch} et al., ``An approach to anomalous diffusion in the n-dimensional space generated by a self-similar Laplacian'', Preprint, arXiv:1207.7132 [physics.class-ph] (2012) Full Text: arXiv OA License
Michelitsch, Thomas; Maugin, Gérard A.; Mujibur, Rahman; Derogar, Shahram; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A A self-similar field theory for 1D linear elastic continua and self-similar diffusion problem. arXiv:1105.5322 Preprint, arXiv:1105.5322 [math-ph] (2011). BibTeX Cite \textit{T. Michelitsch} et al., ``A self-similar field theory for 1D linear elastic continua and self-similar diffusion problem'', Preprint, arXiv:1105.5322 [math-ph] (2011) Full Text: arXiv OA License
Michelitsch, Thomas M.; Maugin, Gérard A.; Nowakowski, Andrzej F.; Nicolleau, Franck C. G. A. Analysis of the vibrational mode spectrum of a linear chain with spatially exponential properties. (English) Zbl 1213.70017 Int. J. Eng. Sci. 47, No. 2, 209-220 (2009). MSC: 70J10 PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Int. J. Eng. Sci. 47, No. 2, 209--220 (2009; Zbl 1213.70017) Full Text: DOI arXiv Link
Michelitsch, Thomas M.; Maugin, Gérard A.; Nicolleau, Franck C. G. A.; Nowakowski, Andrzej F.; Derogar, Shahram Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires. arXiv:0910.0728 Preprint, arXiv:0910.0728 [math-ph] (2009). BibTeX Cite \textit{T. M. Michelitsch} et al., ``Relations de dispersion pour cha\^ines lin\'eaires comportant des interactions harmoniques auto-similaires'', Preprint, arXiv:0910.0728 [math-ph] (2009) Full Text: arXiv OA License
Michelitsch, Thomas M.; Maugin, Gérard A.; Nicolleau, Franck C. G. A; Nowakowski, Andrzej. F.; Derogar, Shahram Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains. arXiv:0904.0780 Preprint, arXiv:0904.0780 [math-ph] (2009). BibTeX Cite \textit{T. M. Michelitsch} et al., ``Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains'', Preprint, arXiv:0904.0780 [math-ph] (2009) Full Text: DOI arXiv OA License
Kryszewski, Wojciech (ed.); Nowakowski, Andrzej (ed.) Proceedings of the 3rd Polish symposium on nonlinear analysis. Łódź, Poland, January 29–31, 2001. (English) Zbl 1073.00011 Lecture Notes in Nonlinear Analysis 3. Toruń: Nicolaus Copernicus University, Juliusz Schauder Center for Nonlinear Studies (ISBN 83-231-1422-6/pbk). 197 p. (2002). MSC: 00B25 PDFBibTeX XMLCite \textit{W. Kryszewski} (ed.) and \textit{A. Nowakowski} (ed.), Proceedings of the 3rd Polish symposium on nonlinear analysis. Łódź, Poland, January 29--31, 2001. Toruń: Nicolaus Copernicus University, Juliusz Schauder Center for Nonlinear Studies (2002; Zbl 1073.00011)
Protas, B.; Styczek, A.; Nowakowski, A. An effective approach to computation of forces in viscous incompressible flows. (English) Zbl 0979.76059 J. Comput. Phys. 159, No. 2, 231-245 (2000). MSC: 76M23 76M30 76D17 PDFBibTeX XMLCite \textit{B. Protas} et al., J. Comput. Phys. 159, No. 2, 231--245 (2000; Zbl 0979.76059) Full Text: DOI Link
Protas, B.; Nowakowski, A.; Goujon-Durand, S. Influence of the obstacle geometry on the dynamical properties of the von Karman vortex street. (English) Zbl 0925.76138 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 2, 675-677 (1998). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{B. Protas} et al., ZAMM, Z. Angew. Math. Mech. 78, 675--677 (1998; Zbl 0925.76138)
Nowakowski, Andrzej; Rokicki, Jacek; Styczek, Andrzej The pressure problem in the stochastic vortex blob method. (English) Zbl 0873.76064 ESAIM, Proc. 1, 125-134 (1996). MSC: 76M25 76M35 PDFBibTeX XMLCite \textit{A. Nowakowski} et al., ESAIM, Proc. 1, 125--134 (1996; Zbl 0873.76064) Full Text: DOI
Rokicki, J.; Floryan, J. M.; Nowakowski, A. Domain decomposition for the Navier-Stokes equations in complex geometries. (English) Zbl 0925.76440 Z. Angew. Math. Mech. 76, Suppl. 5, 431-432 (1996). MSC: 76M25 76D05 65N55 PDFBibTeX XMLCite \textit{J. Rokicki} et al., Z. Angew. Math. Mech. 76, 431--432 (1996; Zbl 0925.76440)
Nowakowski, Andrzej An extremum in the full class of monotone functions. (English) Zbl 0899.47034 Bull. Soc. Sci. Lett. Łódź 46, Sér. Rech. Déform. 21, 25-33 (1996). MSC: 47E05 34K35 34H05 PDFBibTeX XMLCite \textit{A. Nowakowski}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 46(21), 25--33 (1996; Zbl 0899.47034)
Nowakowski, Andrzej Limit process for a sequence of analytic extremal functions satisfying certain differential-functional equation. II. (English) Zbl 0886.47029 Bull. Soc. Sci. Lett. Łódź 46, Sér. Rech. Déform. 21, 11-23 (1996). MSC: 47E05 34K30 PDFBibTeX XMLCite \textit{A. Nowakowski}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 46(21), 11--23 (1996; Zbl 0886.47029)
Nowakowski, Andrzej Limit process for a sequence of analytic extremal functions satisfying certain differential-functional equation. I. (English) Zbl 0886.47028 Bull. Soc. Sci. Lett. Łódź 46, Sér. Rech. Déform. 21, 5-10 (1996). MSC: 47E05 34K30 PDFBibTeX XMLCite \textit{A. Nowakowski}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 46(21), 5--10 (1996; Zbl 0886.47028)
Nowakowski, Andrzej Stability and convergence in nonlinear control. (English) Zbl 0803.49003 Control Cybern. 23, No. 1-2, 229-246 (1994). Reviewer: L.Mikołajczyk (Łódź) MSC: 49J15 49L20 93C15 93C10 PDFBibTeX XMLCite \textit{A. Nowakowski}, Control Cybern. 23, No. 1--2, 229--246 (1994; Zbl 0803.49003)