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We present and compare third- as well as fifth-order accurate finite difference schemes for the numerical solution of the compressible ideal MHD equations in multiple spatial dimensions.
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G. S. Jiang, C.-c. Wu, A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics, J. Comput. Phys. 150 (1999) 561-594
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D. S. Balsara, Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics, J. Comput. Phys - (2009) ?:?
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A. Mignone, P. Tzeferacos, A second order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme ApJS 229 (2010) 2117-2138
2010
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