Geodesic
Comparison of a modified large-particle method with some high resolution schemes. One-dimensional test problems
Numerical methods and programming, Tome 20 (2019) no. 2, pp. 138-146.

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The paper presents a comparative analysis of the computational properties of a modified large-particle method on one-dimensional gas dynamics test problems in a wide range of flow parameters. The numerical results are compared with self-similar solutions and data obtained by high-resolution schemes from the second to the sixth order of approximation. It is shown that the presented scheme is numerically efficient and competitive.
Keywords: large-particle method, high resolution, test problems, computational properties. 
@article{VMP_2019_20_2_a5,
     author = {D. V. Sadin and V. A. Davidchuk},
     title = {Comparison of a modified large-particle method with some high resolution schemes. {One-dimensional} test problems},
     journal = {Numerical methods and programming},
     pages = {138--146},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_2_a5/}
}
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D. V. Sadin; V. A. Davidchuk. Comparison of a modified large-particle method with some high resolution schemes. One-dimensional test problems. Numerical methods and programming, Tome 20 (2019) no. 2, pp. 138-146. http://geodesic.mathdoc.fr/item/VMP_2019_20_2_a5/