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Exact Riemann solver for ideal magnetohydrodynamics that can handle all types of intermediate shocks and switch-on/off waves

K. Takahashi and S. Yamada
Journal of Plasma Physics 80 (02) 255 (2014)
DOI: 10.1017/S0022377813001268
See this article

Regular and non-regular solutions of the Riemann problem in ideal magnetohydrodynamics

K. TAKAHASHI and S. YAMADA
Journal of Plasma Physics 79 (03) 335 (2013)
DOI: 10.1017/S0022377812001006
See this article