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Journal of Applied Mathematics
Volume 2014, Article ID 610398, 12 pages
http://dx.doi.org/10.1155/2014/610398
Research Article

A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation

1Institute of Computational Modeling SB RAS, Krasnoyarsk, Akademgorodok 660036, Russia
2Siberian Federal University, Svobodny Prospect, Krasnoyarsk 660041, Russia
3Beihang University, Haidian District, Beijing 100191, China

Received 3 April 2014; Revised 16 August 2014; Accepted 19 August 2014; Published 27 October 2014

Academic Editor: Xiaohui Yuan

Copyright © 2014 Alexander Efremov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • A. Efremov, E. Karepova, A. Vyatkin, A. Efremov, E. Karepova, and A. Vyatkin, “Some features of the CUDA implementation of the semi-Lagrangian method for the advection problem,” vol. 1685, pp. 090003, . View at Publisher · View at Google Scholar
  • A. Vyatkin, and A. Vyatkin, “A semi-Lagrangian algorithm based on the integral transformation for the three-dimensional advection problem,” vol. 1685, pp. 090012, . View at Publisher · View at Google Scholar
  • A. Efremov, E. Karepova, V. Shaydurov, and A. Vyatkin, “Semi-Lagrangian method for advection problem with adaptive grid,” vol. 1773, pp. 100003, . View at Publisher · View at Google Scholar
  • Shchepanovskaya, Shaydurov, and Yakubovich, “A mathematical model of the passage of an asteroid-comet body through the Earth's atmosphere,” AIP Conference Proceedings, vol. 1684, 2015. View at Publisher · View at Google Scholar
  • Tiegang Liu, Shchepanovskaya, Yakubovich, and Shaydurov, “A semi-Lagrangian approximation in the Navier-Stokes equations for the gas flow around a wedge,” AIP Conference Proceedings, vol. 1684, 2015. View at Publisher · View at Google Scholar
  • Shaydurov, Yakubovich, and Shchepanovskaya, “Mathematical model and numerical algorithm for aerodynamical flow,” AIP Conference Proceedings, vol. 1773, 2016. View at Publisher · View at Google Scholar
  • V. Shaydurov, G. Shchepanovskaya, and M. Yakubovich, “A Mathematical Model and a Numerical Algorithm for an Asteroid-Comet Body in the Earth’s Atmosphere,” Numerical Analysis and Its Applications, vol. 10187, pp. 119–131, 2017. View at Publisher · View at Google Scholar
  • Alexandr Efremov, Evgeniya Karepova, and Vladimir Shaidurov, “A Conservative Semi-Lagrangian Method for the Advection Problem,” Numerical Analysis and Its Applications, vol. 10187, pp. 325–333, 2017. View at Publisher · View at Google Scholar
  • Vladimir Shaydurov, Alexander Vyatkin, and Elena Kuchunova, “A Semi-Lagrangian Numerical Method for the Three-Dimensional Advection Problem with an Isoparametric Transformation of Subdomains,” Numerical Analysis and Its Applications, vol. 10187, pp. 599–607, 2017. View at Publisher · View at Google Scholar