Geodesic
The solution of gas dynamics problems with shock waves using Runge--Kutta discontinous Galerkin method
Matematičeskoe modelirovanie, Tome 20 (2008) no. 11, pp. 55-66

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The paper is dedicated to the testing of RKDG method for gas dynamics and to the comparison of this method with other well-known numerical methods. The comparative analysis was carried out between different variants of RKDG method as well as finite-volume Godunov type schemes. The computations allow to estimate the quality of different schemes. RKDG method has a higher order of approximation, which leads to better quality of the solution. 
@article{MM_2008_20_11_a4,
     author = {M. P. Galanin and E. B. Savenkov and S. A. Tokareva},
     title = {The solution of gas dynamics problems with shock waves using {Runge--Kutta} discontinous {Galerkin} method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {55--66},
     publisher = {mathdoc},
     volume = {20},
     number = {11},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_11_a4/}
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M. P. Galanin; E. B. Savenkov; S. A. Tokareva. The solution of gas dynamics problems with shock waves using Runge--Kutta discontinous Galerkin method. Matematičeskoe modelirovanie, Tome 20 (2008) no. 11, pp. 55-66. http://geodesic.mathdoc.fr/item/MM_2008_20_11_a4/