A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation
Joint Authors
Efremov, Alexander
Karepova, Eugeniya
Shaydurov, Vladimir
Vyatkin, Alexander
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A parallel implementation of a method of the semi-Lagrangian type for the advection equation on a hybrid architecture computation system is discussed.
The difference scheme with variable stencil is constructed on the base of an integral equality between the neighboring time levels.
The proposed approach allows one to avoid the Courant-Friedrichs-Lewy restriction on the relation between time step and mesh size.
The theoretical results are confirmed by numerical experiments.
Performance of a sequential algorithm and several parallel implementations with the OpenMP and CUDA technologies in the C language has been studied.
American Psychological Association (APA)
Efremov, Alexander& Karepova, Eugeniya& Shaydurov, Vladimir& Vyatkin, Alexander. 2014. A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039747
Modern Language Association (MLA)
Efremov, Alexander…[et al.]. A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1039747
American Medical Association (AMA)
Efremov, Alexander& Karepova, Eugeniya& Shaydurov, Vladimir& Vyatkin, Alexander. A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039747
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039747