Positivity-preserving numerical scheme for hyperbolic systems with $$\delta $$-shock solutions and its convergence analysis-Reference-Cited by-同舟云学术

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Positivity-preserving numerical scheme for hyperbolic systems with $$\delta $$-shock solutions and its convergence analysis

Published:2021-08 Issue:4 Volume:72 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Aggarwal Aekta,Vaidya Ganesh,Gowda G. D. Veerappa

Funder

Department of Atomic Energy, Government of India

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-021-01590-y.pdf

Reference31 articles.

1. Adimurthi, A.A., Veerappa Gowda, G.D.: Godunov-type numerical methods for a model of granular flow. J. Comput. Phys. 305, 1083–1118 (2016)

2. Adimurthi, A.A., Veerappa Gowda, G.D.: Godunov-type numerical methods for a model of granular flow on open tables with walls. Commun. Comput. Phys. 20(4), 1071–1105 (2016)

3. Adimurthi, J.J., Veerappa Gowda, G.D.: Godunov-type methods for conservation laws with a flux function discontinuous in space. SIAM J. Numer. Anal. 42(1), 179–208 (2004)

4. Adimurthi, S.M., Veerappa Gowda, G.D.: Optimal entropy solutions for conservation laws with discontinuous flux-functions. J. Hyperbolic Differ. Equ. 2(04), 783–837 (2005)

5. Adimurthi, S.M., Veerappa Gowda, G.D.: Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Netw. Heterog. Media 2(1), 127 (2006)

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