A conservative semi-Lagrangian HWENO method for the Vlasov equation

  title={A conservative semi-Lagrangian HWENO method for the Vlasov equation},
  author={Xiaofeng Cai and Jianxian Qiu and Jing-Mei Qiu},
  journal={J. Comput. Phys.},
In this paper, we propose a high order conservative semi-Lagrangian (SL) finite difference Hermite weighted essentially non-oscillatory (HWENO) method for the Vlasov equation based on dimensional splitting. HWENO was first proposed for solving nonlinear hyperbolic problems by evolving both function values and its first derivative values (Qiu and Shu (2004) 23). The major advantage of HWENO, compared with the original WENO, lies in its compactness in reconstruction stencils.There are several new… Expand
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Curriculum Vitae
Visiting scholar, University of California Los Angeles (UCLA) (August 1973-July 1974). Lecturer and Assistant Professor in Mathematics and Functional Analysis, University of Calabria (1974-1983).Expand


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