Fedotova, Z. I.; Khakimzyanov, G. S. Phase and amplitude characteristics of higher-accuracy nonlinear dispersive models. (English. Russian original) Zbl 07732566 J. Appl. Mech. Tech. Phys. 64, No. 2, 216-229 (2023); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 2, 48-63 (2023). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, J. Appl. Mech. Tech. Phys. 64, No. 2, 216--229 (2023; Zbl 07732566); translation from Prikl. Mekh. Tekh. Fiz. 64, No. 2, 48--63 (2023) Full Text: DOI
Khakimzyanov, Gayaz; Dutykh, Denys; Fedotova, Zinaida; Gusev, Oleg Dispersive shallow water waves. Theory, modeling, and numerical methods. (English) Zbl 1444.76002 Lecture Notes in Geosystems Mathematics and Computing. Cham: Birkhäuser (ISBN 978-3-030-46266-6/pbk; 978-3-030-46267-3/ebook). xx, 284 p. (2020). MSC: 76-02 76B15 76Mxx 76-10 PDFBibTeX XMLCite \textit{G. Khakimzyanov} et al., Dispersive shallow water waves. Theory, modeling, and numerical methods. Cham: Birkhäuser (2020; Zbl 1444.76002) Full Text: DOI
Khakimzyanov, Gayaz S.; Fedotova, Zinaida I.; Gusev, Oleg I.; Shokina, Nina Yu. Finite difference methods for 2D shallow water equations with dispersion. (English) Zbl 1416.76179 Russ. J. Numer. Anal. Math. Model. 34, No. 2, 105-117 (2019). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{G. S. Khakimzyanov} et al., Russ. J. Numer. Anal. Math. Model. 34, No. 2, 105--117 (2019; Zbl 1416.76179) Full Text: DOI
Khakimzyanov, Gayaz; Dutykh, Denys; Fedotova, Zinaida Dispersive shallow water wave modelling. III: Model derivation on a globally spherical geometry. (English) Zbl 1488.76017 Commun. Comput. Phys. 23, No. 2, 315-360 (2018). MSC: 76B15 76B25 PDFBibTeX XMLCite \textit{G. Khakimzyanov} et al., Commun. Comput. Phys. 23, No. 2, 315--360 (2018; Zbl 1488.76017) Full Text: DOI arXiv
Khakimzyanov, Gayaz; Dutykh, Denys; Fedotova, Zinaida; Mitsotakis, Dimitrios Dispersive shallow water wave modelling. I: Model derivation on a globally flat space. (English) Zbl 1488.76018 Commun. Comput. Phys. 23, No. 1, 1-29 (2018). MSC: 76B15 76B25 PDFBibTeX XMLCite \textit{G. Khakimzyanov} et al., Commun. Comput. Phys. 23, No. 1, 1--29 (2018; Zbl 1488.76018) Full Text: DOI arXiv
Fedotova, Zinaida Ivanovna; Khakimzyanov, Gayaz Salimovich; Gusev, Oleg Igorevitch; Shokina, Nina Yurievna History of the development and analysis of numerical methods for solving nonlinear dispersive equations of hydrodynamics. II: Two-dimensional models. (Russian. English summary) Zbl 1387.76074 Vychisl. Tekhnol. 22, No. 5, 73-109 (2017). MSC: 76M20 76-02 76-03 01A60 01A61 PDFBibTeX XMLCite \textit{Z. I. Fedotova} et al., Vychisl. Tekhnol. 22, No. 5, 73--109 (2017; Zbl 1387.76074) Full Text: Link
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S. Characteristics of finite difference methods for dispersive shallow water equations. (English) Zbl 1381.76235 Russ. J. Numer. Anal. Math. Model. 31, No. 3, 149-158 (2016). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Russ. J. Numer. Anal. Math. Model. 31, No. 3, 149--158 (2016; Zbl 1381.76235) Full Text: DOI
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S.; Gusev, Oleg I. History of the development and analysis of numerical methods for solving nonlinear dispersive equations of hydrodynamics. I: One-dimensional models problems. (Russian. English summary) Zbl 1398.76151 Vychisl. Tekhnol. 20, No. 5, 120-156 (2015). MSC: 76M20 76-02 76-03 01A60 01A61 PDFBibTeX XMLCite \textit{Z. I. Fedotova} et al., Vychisl. Tekhnol. 20, No. 5, 120--156 (2015; Zbl 1398.76151) Full Text: Link
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S. The basic nonlinear-dispersive hydrodynamic model of long surface waves. (Russian. English summary) Zbl 1383.76042 Vychisl. Tekhnol. 19, No. 6, 77-94 (2014). MSC: 76B10 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Vychisl. Tekhnol. 19, No. 6, 77--94 (2014; Zbl 1383.76042) Full Text: Link
Fedotova, Z. I.; Khakimzyanov, G. S. Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws. (English. Russian original) Zbl 1329.35249 J. Appl. Mech. Tech. Phys. 55, No. 3, 404-416 (2014); translation from Prikl. Mekh. Tekh. Fiz. 55, No. 3, 37-50 (2014). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, J. Appl. Mech. Tech. Phys. 55, No. 3, 404--416 (2014; Zbl 1329.35249); translation from Prikl. Mekh. Tekh. Fiz. 55, No. 3, 37--50 (2014) Full Text: DOI
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S.; Dutykh, Denys Energy equation for certain approximate models of long-wave hydrodynamics. (English) Zbl 1291.76064 Russ. J. Numer. Anal. Math. Model. 29, No. 3, 167-178 (2014). MSC: 76B15 PDFBibTeX XMLCite \textit{Z. I. Fedotova} et al., Russ. J. Numer. Anal. Math. Model. 29, No. 3, 167--178 (2014; Zbl 1291.76064) Full Text: DOI HAL
Fedotova, Zinaida Ivanovna; Khakimzyanov, Gayaz Salimovich On analysis of conditions for derivation of nonlinear-dispersive equations. (Russian. English summary) Zbl 1421.76030 Vychisl. Tekhnol. 17, No. 5, 94-108 (2012). MSC: 76B15 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Vychisl. Tekhnol. 17, No. 5, 94--108 (2012; Zbl 1421.76030) Full Text: Link
Fedotova, Zinaida Ivanovna; Khakimzyanov, Gayaz Salimovich Boussinesq equations on a rotating sphere. (Russian. English summary) Zbl 1420.35234 Vychisl. Tekhnol. 16, No. 6, 74-84 (2011). MSC: 35Q35 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Vychisl. Tekhnol. 16, No. 6, 74--84 (2011; Zbl 1420.35234) Full Text: Link
Fedotova, Z. I.; Khakimzyanov, G. S. Nonlinear dispersive equations of the shallow water on the rotating sphere. (Russian) Zbl 1344.76016 Vychisl. Tekhnol. 15, No. 3, 135-145 (2010). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Vychisl. Tekhnol. 15, No. 3, 135--145 (2010; Zbl 1344.76016) Full Text: Link
Fedotova, Z. I.; Khakimzyanov, G. S. Nonlinear-dispersive shallow water equations on a rotating sphere. (English) Zbl 1288.76015 Russ. J. Numer. Anal. Math. Model. 25, No. 1, 15-26 (2010). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Russ. J. Numer. Anal. Math. Model. 25, No. 1, 15--26 (2010; Zbl 1288.76015) Full Text: DOI
Fedotova, Z. I.; Khakimzyanov, G. S. Shallow water equations on a movable bottom. (English) Zbl 1157.76004 Russ. J. Numer. Anal. Math. Model. 24, No. 1, 31-41 (2009). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Russ. J. Numer. Anal. Math. Model. 24, No. 1, 31--41 (2009; Zbl 1157.76004) Full Text: DOI
Fedotova, Z. I.; Khakimzyanov, G. S. Nonlinear dispersive shallow water equations for a non-stationary bottom. (Russian. English summary) Zbl 1212.35362 Vychisl. Tekhnol. 13, No. 4, 114-126 (2008). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{Z. I. Fedotova} and \textit{G. S. Khakimzyanov}, Vychisl. Tekhnol. 13, No. 4, 114--126 (2008; Zbl 1212.35362)
Gusyakov, V. K.; Fedotova, Z. I.; Khakimzyanov, G. S.; Chubarov, L. B.; Shokin, Yu. I. Some approaches to local modelling of tsunami wave runup on a coast. (English) Zbl 1153.76020 Russ. J. Numer. Anal. Math. Model. 23, No. 6, 551-565 (2008). MSC: 76B15 76M20 86A05 PDFBibTeX XMLCite \textit{V. K. Gusyakov} et al., Russ. J. Numer. Anal. Math. Model. 23, No. 6, 551--565 (2008; Zbl 1153.76020) Full Text: DOI
Beisel, S. A.; Chubarov, L. B.; Fedotova, Z. I.; Khakimzyanov, G. S. On the approaches to a numerical modeling of landslide mechanism of tsunami wave generation. (English) Zbl 1205.86010 Commun. Appl. Anal. 11, No. 1, 77-93 (2007). MSC: 86A05 86-08 PDFBibTeX XMLCite \textit{S. A. Beisel} et al., Commun. Appl. Anal. 11, No. 1, 77--93 (2007; Zbl 1205.86010)
Shokin, Yu. I.; Fedotova, Z. I.; Khakimzyanov, G. S.; Chubarov, L. B.; Beizel, S. A. Modelling surface waves generated by a moving landslide with allowance for vertical flow structure. (English) Zbl 1123.76011 Russ. J. Numer. Anal. Math. Model. 22, No. 1, 63-85 (2007). MSC: 76B15 76M20 86A05 PDFBibTeX XMLCite \textit{Yu. I. Shokin} et al., Russ. J. Numer. Anal. Math. Model. 22, No. 1, 63--85 (2007; Zbl 1123.76011) Full Text: DOI
Chubarov, L. B.; Eletskii, S. V.; Fedotova, Z. I.; Khakimzyanov, G. S. Simulation of surface waves generation by an underwater landslide. (English) Zbl 1125.86001 Russ. J. Numer. Anal. Math. Model. 20, No. 5, 425-437 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 86A05 76B15 76M25 PDFBibTeX XMLCite \textit{L. B. Chubarov} et al., Russ. J. Numer. Anal. Math. Model. 20, No. 5, 425--437 (2005; Zbl 1125.86001) Full Text: DOI