Geodesic
The use of the piecewise parabolic method on a local stencil for
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 2, pp. 143-154

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In this paper a new numerical method with a low-dissipation of a numerical solution, based on a combination of the Godunov method with the Roe scheme, and a piecewise parabolic method on a local stencil is described. The construction of the numerical method is described in considerable detail, the method is validated on the one-dimensional Riemann problem. The results of the numerical simulation of the collision of two relativistic gas spheres are presented. 
@article{SJVM_2020_23_2_a3,
     author = {I. M. Kulikov},
     title = {The use of the piecewise parabolic method on a local stencil for},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {143--154},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a3/}
}
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I. M. Kulikov. The use of the piecewise parabolic method on a local stencil for. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 2, pp. 143-154. http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a3/