RK Agarwal, HSR Reksoprodjo, Dong W., Implicit kinetic schemes for the ideal MHD equations, Computational Mechanics, Proceedings: 171-176, 2004.   SCI

RK Agarwal, HSR Reksoprodjo, Implicit kinetic schemes for the Euler and the ideal magnetohydrodynamics equations, Computational Fluid Dynamics 2002: 401-406, 2003.   SCI

Aslan N, Onbasioglu E, Balci S, Erdogan A, Parallelizaton of visual magneto-hydrodynamics code based on fluctuation distribution scheme on triangular grids, COMPUTERS & FLUIDS, 36 (5): 961-973 JUN 2007   SCI

J. Balbas & E. Tadmor, Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes. SIAM J. of Sci. Comput., 28(2), 533-560.  SCI

...scheme of Tang and Xu, [26] using a 200×200 uniform grid

J. Balbas, E. Tadmor & C-c. Wu, Non-oscillatory central schemes for one- and two-dimensional MHD equations. I. J. Comput. Phys., 201(1): 261-285, 2004.  SCI

...kinetic scheme of Tang and Xu [25] using a 200X200 uniform grid,

Balci S, Aslan N, Two-dimensional MHD solver by fluctuation splitting and dual time stepping, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 53 (10): 1585-1611 APR 10 2007   SCI

Bouchut F, Klingenberg C, Waagan K, A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework, NUMERISCHE MATHEMATIK 108 (1): 7-42 NOV 2007.   SCI

Ref. [22]: "Concerning other approachs to derive numerical fluxes, we mention that a kinetic flux vector splitting scheme for MHD was derived and tested in [22,26]".

Heitsch F, Slyz AD, Devriendt JEG, Hartmann LW, Burkert A, Magnetized nonlinear thin-shell instability: Numerical studies in two dimensions, ASTROPHYSICAL JOURNAL 665 (1): 445-456 Part 1 AUG 10 2007   SCI

Fabian Heitsch, Ellen G. Zweibel, Adrianne D. Slyz and Julien E.G. Devriendt, Magnetic Flux Transport in the ISM Through Turbulent Ambipolar Diffusion, Astrophysics and Space Science, Volume 292, Numbers 1-4, 45 - 51, 2004.   SCI

Heitsch, F., Zweibel, E.G., Slyz, A.D., Devriendt, J.E.G., Turbulent Ambipolar Diffusion: Numerical Studies in Two Dimensions, ASTROPHYSICAL JOURNAL, 603(2004), 165-179.   SCI

Jiang S., Ni GX A gamma-model BGK scheme for compressible multifluids INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 46 (2): 163-182 SEP 20 2004   SCI

Jiang BN, Least-square finite element method for computational fluid and solid mechanics, Computational Mechanics, Proceedings: 65-70, 2001   SCI

Palotti, ML., Heitsch F., Zweibel EG, Huang YM, Evolution of unmagnetized and magnetized shear layers, Astrophysical J., 678, 2008, 234-244.   SCI

Qamar S, Warnecke G A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics JOURNAL OF COMPUTATIONAL PHYSICS 205 (1): 182-204 MAY 1 2005   SCI

Ref. [33]:

Z.J. Tan, Adaptive moving mesh method for two-dimensional resistive magnetohydrodynamical PDE models, Computers & Fluids, 36(2007), 758-771.   SCI

Ref. [35]:

M. Torrilhon, Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics, Journal of Computational Physics, v.192 n.1, p.73-94, 20 November 2003   SCI

[28]

M.J. Zhang, S.-T. John Yu, S.-C. Henry Lin, Sin-Chung Chang and Isaiah Blankson, Solving the MHD equations by the space–time conservation element and solution element metho, Journal of Computational Physics, 214(2006), 599-617. Ref.[11]   SCI

Moujin Zhang; S.-T. John Yu; Shang-Chuen Lin; Sin-Chung Chang; Isaiah Blankson, Solving Magnetohydrodynamic Equations Without Special Treatment for Divergence-Free Magnetic Field, AIAA Journal, 2004, vol.42 no.12 (2605-2608).   SCI

Zweibel, EG, Heitsch F, Fast dynamics in weakly ionized gases, Astrophysical J., 684, 2008, 373-379.   SCI

Ref. [7]:

We will follow the same technique which was used by Xu [36] as well as Tang & Xu [30] for the classical phase density in the classical MHD equations slution.

...Tang and Xu [20] extended flux splitting. method for ideal magneto hydrodynamics equation....

[16]

Heitsch has been using an extension of a gas-kinetic flux-splitting method developed by Xu (1999) and Tang and Xu (2000), which is especially useful for investigating MHD problems including diffusive processes. A bit daunted by the prospect of porting his code to a new machine when the Origin2000 neared retirement, he was in for a pleasant surprise when he did his first test run. "I was so impressed that I could take the code and compile it on the IBM p690 and it ran--that has never happened to me. That's the first time a code ran quickly for me, which was very nice."