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Volume 5, Issue 2-4
Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

Alina Chertock & Alexander Kurganov

Commun. Comput. Phys., 5 (2009), pp. 565-581.

Published online: 2009-02

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  • Abstract

We compute multivalued solutions of one- and two-dimensional pressureless gas dynamics equations by deterministic particle methods. Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure. We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution. 

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@Article{CiCP-5-565, author = {Alina Chertock and Alexander Kurganov}, title = {Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {565--581}, abstract = {

We compute multivalued solutions of one- and two-dimensional pressureless gas dynamics equations by deterministic particle methods. Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure. We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7750.html} }
TY - JOUR T1 - Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods AU - Alina Chertock & Alexander Kurganov JO - Communications in Computational Physics VL - 2-4 SP - 565 EP - 581 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7750.html KW - AB -

We compute multivalued solutions of one- and two-dimensional pressureless gas dynamics equations by deterministic particle methods. Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure. We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution. 

Alina Chertock and Alexander Kurganov. (2009). Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods. Communications in Computational Physics. 5 (2-4). 565-581. doi:
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