Abstract

The solution of nonintegrable nonlinear equations is very difficult even numerically and practically impossible by standard analytical technic. New view, offered by heterogeneous computational systems, gives some new possibilities, but also need novel approaches for numerical realization of pertinent algorithms. We shall give some examples of such analysis on the base of nonlinear wave's evolution study in multiphase media with chemical reaction.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics
Volume1863
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - 21 Jul 2017
EventInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) - Rhodes
Duration: 18 Sep 201624 Sep 2016

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
Abbreviated title ICNAAM 2016
CountryGreece
CityRhodes
Period18/09/1624/09/16

Fingerprint

wave equations
nonlinear equations
chemical reactions

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bogdanov, A., & Mareev, V. (2017). Hybrid approach for nonlinear wave equation. In T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Vol. 1863). [110005] American Institute of Physics. https://doi.org/10.1063/1.4992290
Bogdanov, Alexander ; Mareev, Vladimir. / Hybrid approach for nonlinear wave equation. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. editor / Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. Vol. 1863 American Institute of Physics, 2017.
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Bogdanov, A & Mareev, V 2017, Hybrid approach for nonlinear wave equation. in TE Simos, TE Simos & C Tsitouras (eds), International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. vol. 1863, 110005, American Institute of Physics, Rhodes, 18/09/16. https://doi.org/10.1063/1.4992290

Hybrid approach for nonlinear wave equation. / Bogdanov, Alexander; Mareev, Vladimir.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ed. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. Vol. 1863 American Institute of Physics, 2017. 110005.

Research output

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AU - Bogdanov, Alexander

AU - Mareev, Vladimir

PY - 2017/7/21

Y1 - 2017/7/21

N2 - The solution of nonintegrable nonlinear equations is very difficult even numerically and practically impossible by standard analytical technic. New view, offered by heterogeneous computational systems, gives some new possibilities, but also need novel approaches for numerical realization of pertinent algorithms. We shall give some examples of such analysis on the base of nonlinear wave's evolution study in multiphase media with chemical reaction.

AB - The solution of nonintegrable nonlinear equations is very difficult even numerically and practically impossible by standard analytical technic. New view, offered by heterogeneous computational systems, gives some new possibilities, but also need novel approaches for numerical realization of pertinent algorithms. We shall give some examples of such analysis on the base of nonlinear wave's evolution study in multiphase media with chemical reaction.

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M3 - Conference contribution

AN - SCOPUS:85026642510

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BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

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Bogdanov A, Mareev V. Hybrid approach for nonlinear wave equation. In Simos TE, Simos TE, Tsitouras C, editors, International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1863. American Institute of Physics. 2017. 110005 https://doi.org/10.1063/1.4992290